row_id int64 0 36.7k | QuestionId int64 31.8k 109k | QuestionText stringclasses 15
values | MC_Answer stringclasses 49
values | StudentExplanation stringlengths 1 586 | Category stringclasses 6
values | Misconception stringclasses 35
values |
|---|---|---|---|---|---|---|
26,400 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | 1/3 times 2/3 is the same as 1/3 of 2 1/3 | True_Correct | null |
26,401 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | 1/3 times 2/3 is the same as 1/3 of 2/3 | True_Correct | null |
26,402 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | 1/3 tumes 2/3 is 2/9. | True_Correct | null |
26,403 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | 1/3 x 2 1/3 is 2/9. 3/9 if 3 + 1/3 = 1 and 1/9 is correct. | True_Neither | null |
26,404 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | 1/3 x 2/3 = 1/2 of 2 1/3. | True_Correct | null |
26,405 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | 1/3 x 2/3 = 2 / 9. | True_Correct | null |
26,406 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | 1/3 x 2/3 = 2 1/3 which is the startingg number. | True_Neither | null |
26,407 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | 1/3 x 2/3 = 2/3 which is the starting number | True_Neither | null |
26,408 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | 1/3 x 2/3 = 2/6 = 1/3. so it is b. | True_Neither | null |
26,409 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | 1/3 x 2/3 is 1/3 of 2 1/3 | True_Correct | null |
26,410 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | 1/3 x 2/3 is 2/9. 2/9 x 3 + 1/3 = 1 so 2/9 is correct | True_Correct | null |
26,411 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | 1/3 x 2/3 would give you 2/9. | True_Correct | null |
26,412 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | 1/3x2/3=2/9 and that is how much of the whole cakee Robert ate. | True_Correct | null |
26,413 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | 1/3x2/3=2/9 and that is the fraction of the whole cake robert has eaten. | True_Correct | null |
26,414 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | 2/13 x 1/3 would give an answer of 1/9. hence, a part of the whole vake is 3/9. | True_Neither | null |
26,415 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | 2/3 is 2 times 1/3, so you need to findd 1/3 of 2 1/3. | True_Neither | null |
26,416 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | 2/3 of a cake , robert eats 1/3.
2/3 x 1/3 =2/9 | True_Correct | null |
26,417 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | 2/3 x 1/3 would give an answer of 2/9 which is the fraction of the whole cake | True_Correct | null |
26,418 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | 2/3*1/3=2/9 can’t be a or d because it will never get the answer. can't been c because 2 1/3/1/3= two wholes which won'd make sense. | True_Correct | null |
26,419 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | 2/3*1/3=2/9 can’t be a or d because it will never get the answer. can’t be c because 2/3/1/3= two wholes which won’t make sense | True_Correct | null |
26,420 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | 2/3x1/3=2/9 and also x is actually making it smaller | True_Correct | null |
26,421 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | 2/9 is because he ate 1/3 of 2/3 so you multiply it to get 1/9. | True_Neither | null |
26,422 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | 2/9 is the same as 1/3 of the cake that was left. | True_Correct | null |
26,423 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | 2/9. As a fraction of the whole cake. | True_Correct | null |
26,424 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | 3/3 - 1/3 = 2/3 as robert ate 1/3 of the piece | True_Neither | null |
26,425 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | 3/3 - 1/3 =2/3
we have realized we read the question wrong last time. | True_Neither | null |
26,426 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | 3x2=6 so the bottom of the fraction is 6 so the same to the top =2 | True_Neither | null |
26,427 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | 4/8 is equal to 1/2 so it is close to 20/25 | True_Neither | null |
26,428 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | After some calculation, I found the matchingg pair. | True_Neither | null |
26,429 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | Because he ate a third of the cake. | True_Neither | null |
26,430 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | Because if you put them sll together, they're whole. | True_Neither | null |
26,431 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | Because that is the way to make the cake. | True_Neither | null |
26,432 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | Because the answer would be 1/3. | True_Neither | null |
26,433 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | Because there smaller than 1, so it wouldd be smaller. | True_Neither | null |
26,434 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | Because they are complete, you will get your answer. | True_Neither | null |
26,435 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | Because this is where the whole cake is discovered. | True_Neither | null |
26,436 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | Because to find 1/3 of 2/3 you need to multiply 2 fractions. | True_Correct | null |
26,437 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | Because when you sayy of it means times, and it's a third of two thirds. | True_Correct | null |
26,438 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | Because you would do that if you wanted to know his whole slice. | True_Neither | null |
26,439 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | Because you're discovering what he ate from sally's | True_Neither | null |
26,440 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | But the others do not make sense. | True_Neither | null |
26,441 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | From what we have learned in class we know that when you are finding a fraction of s fraction, you multiply. That is because you have made the fraction smaller. | True_Correct | null |
26,442 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | Here we are finding 1/3 of 2/3, so this is the right equation that would solve the word problem. | True_Neither | null |
26,443 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I am not sure how to explain my workings, but I willl try. | True_Neither | null |
26,444 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I am sure thst I can answer that question, and I have no reason to doubt it. | True_Neither | null |
26,445 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I am unable to do that?? | True_Neither | null |
26,446 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I answered "b" because if you timess the fractions together, you will get the answer. | True_Neither | null |
26,447 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I believe this because he ate 1/3 and x means of so 1/3 of 2/3. | True_Correct | null |
26,448 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I did not understand so I clicked the one that made the most sense to me. | True_Neither | null |
26,449 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I don't know, but I think that in fractions, for something to be smaller, you times it. | True_Correct | null |
26,450 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I guess this is because he ate 1/3 of 2/3 which equals 1/3 x 2 1/3. | True_Correct | null |
26,451 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I have finally arrived at the number I began with, and it is the same number that I intended to start with. | True_Neither | null |
26,452 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I honestly do not knoww how to solve this. | True_Neither | null |
26,453 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I just did what I thought. | True_Neither | null |
26,454 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I just picked this since yeah I'm sorry. | True_Neither | null |
26,455 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I think B bevause if you do 1 x2 then it will get you 1 third. | True_Neither | null |
26,456 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I think b because if we do 2/3 dividrd by 1/3 you would get the same answer. | True_Neither | null |
26,457 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I think b becausee in my head I drew a bar model of 2/3 and he ate 1/3 of that. | True_Correct | null |
26,458 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I think it is b because robert ate 1/3 of 2/3 not 1/3 that whole cake. | True_Correct | null |
26,459 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I think it is b because robert ate 1/3 of the cake which means that there will still be 2/3 left in the fridge. | True_Neither | null |
26,460 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I think it's timing, because you normally do it this way. | True_Neither | null |
26,461 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I think it’s b because that word problem is in it. | True_Neither | null |
26,462 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I think that this is the answer because sally onlyy has 2 and robert ate 1/3 of 2/3 and of means x so that means that you have to multiply. | True_Correct | null |
26,463 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I think this because 1/3 of 2/3 is the same thing as 1/3 x 2 1/3 | True_Correct | null |
26,464 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I think this because 2/3x1/3=1 which equals a whole. | True_Neither | null |
26,465 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I think this because I know x= of so it's 1/3 of 2/3 | True_Correct | null |
26,466 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I think this because Robert eats a 1/3 of what is left after robert ate 1/3. | True_Neither | null |
26,467 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I think this becausee when you multiply those the 2/3 cake is cut into 2/9 each piece. | True_Correct | null |
26,468 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I think this is becaude 1 x 2 = 2 and 3 X 3 = 9. | True_Correct | null |
26,469 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I think this is because 2 / 3 of a cake had to times by what was taken away. | True_Correct | null |
26,470 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I think this is because robert ate 1/3 of 2/3 of whole, so you have to multiply each other. | True_Correct | null |
26,471 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I think this is because we nerd 1/3 of 2/3, so we times them together. | True_Correct | null |
26,472 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I think you have to find the entire cake. | True_Neither | null |
26,473 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I was explained to me by my mother. | True_Neither | null |
26,474 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | I worked it out and this was the answer. | True_Neither | null |
26,475 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | If they have the same denominator, you can add and subtraction together. | True_Neither | null |
26,476 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | If you are working with fractions thr answer is the inverse of the whole number, so in this case the number is divided by the fraction x. | True_Neither | null |
26,477 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | If you multiply 4/8 times half, you get 4/16. Then 4 is equal to 1/2, so 20 is close to 20/25. | True_Neither | null |
26,478 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | If you needd to work out a third of something, you do this by dividing it by three. | True_Misconception | Division |
26,479 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | If you start with 2 / 3 and you have to find 1/3 of the whole cake you need to multiply it by 1/3. | True_Correct | null |
26,480 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | If you want to find out how much of the cake is left, you can times 2 1/3 by 1/3. Then you find that 2 - 1/3 is equal to 2/9. | True_Correct | null |
26,481 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | If you want to multiply something, you have to make the fraction smaller. | True_Neither | null |
26,482 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | If youu combine them then you will get the correct answer. | True_Neither | null |
26,483 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | It is b because it is 1/3of2/3 and x can be swapped with of. | True_Correct | null |
26,484 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | It is b because it is the mumber sentence for 1/3 of 2/3. | True_Correct | null |
26,485 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | It is because the others are not working. | True_Neither | null |
26,486 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | It is the amount of cake he ate times the cake she had. | True_Correct | null |
26,487 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | It is the only answerr that is correct. | True_Neither | null |
26,488 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | It would be b - because you would have one-fifth of a cake left, and you'd show that by timising and having the left-over 1/3. | True_Neither | null |
26,489 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | It would give the answer to the whole cake, not just the second third. | True_Neither | null |
26,490 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | It's like that because the sentence says that Robert ate 1/3 of this piece (2/3). Since 'of' means multiply, you need to do 1/3 x 2/3 which is 2 1/3, which robert ATE 1/3 OF 2 / 3 which was what the sentences said. | True_Correct | null |
26,491 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | Its 1 / 3 of that, 2 /3 of her.. not of the wholee cake?? | True_Correct | null |
26,492 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | Just know how to do it. | True_Neither | null |
26,493 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | One third of two thirds is equal to one third divided by two threes so to work out what the remainder is you need to multiply one by twice three. | True_Misconception | Division |
26,494 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | One third of two thirdss is three ninths, so one third is equal to three tenths of a third. | True_Neither | null |
26,495 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | Other answers don't make as much sense as the other answers do. | True_Neither | null |
26,496 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | Robert ate a third of 2 / 3rds so that is 2/9. | True_Correct | null |
26,497 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | Robert ate one third...of the two thirds. therefore the answer is b. | True_Neither | null |
26,498 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | Robert eats 1/3 of 2/3 so yiu have to multiply. | True_Neither | null |
26,499 | 33,474 | Sally has \( \frac{2}{3} \) of a whole cake in the fridge. Robert eats \( \frac{1}{3} \) of this piece. What fraction of the whole cake has Robert eaten?
Choose the number sentence that would solve the word problem. | \( \frac{1}{3} \times \frac{2}{3} \) | Robert eats 1/3 of the 1/3 so the number sentence would have to be 1/3 x 1/3. | True_Neither | null |
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