row_id
int64
0
36.7k
QuestionId
int64
31.8k
109k
QuestionText
stringclasses
15 values
MC_Answer
stringclasses
49 values
StudentExplanation
stringlengths
1
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Category
stringclasses
6 values
Misconception
stringclasses
35 values
26,700
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 because it is times
True_Neither
null
26,701
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 because it is times it has happened before.
True_Neither
null
26,702
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 i know this question but i am not guessing.
True_Neither
null
26,703
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 1/3 of 2/3 =1/3 x 2/3
True_Correct
null
26,704
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 of the whole cake.
True_Correct
null
26,705
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 has ate 1/3 of the cake so there will still be 2/3 left in the fridge.
True_Neither
null
26,706
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 the timesing one because when i had timeds it i
True_Correct
null
26,707
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 was the timed one because when i time it i was timeing myself.
True_Neither
null
26,708
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
True_Neither
null
26,709
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 it is not s, it's not- and it has no c.
True_Neither
null
26,710
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 it’s not + it’s not- and it’s not ➗ .so it’s x.
True_Neither
null
26,711
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’s the word problem.
True_Neither
null
26,712
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 b is the answer, because it represents 1/3 of 2/3. making the answer 2/9. therefore, the answer is b.
True_Correct
null
26,713
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 b is the answer, because it represents 1/3 of 2/3. therefore, the final answer is 2/9.
True_Correct
null
26,714
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 is because you have to find the whole cake.
True_Neither
null
26,715
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 the answer is b because you can find 1/3 of 2/3 by multiplying them together.
True_Correct
null
26,716
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 only 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
26,717
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 the answer is b because if sally has 2/3 left, and robert eats 1/3 of it, we need to work out 1/3 of 2/3, which is, in other words, 1/3 times 2/3.
True_Correct
null
26,718
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 the answer is b because if sallyy has 2/3 left, and robert eats 1/3, then we need to work out 1/3 of 2 1/3.
True_Neither
null
26,719
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 answer because the whole is out 3rds so if
True_Neither
null
26,720
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 answer is right because when you calculate you get a smaller fraction then 1/3 so it must be b .
True_Neither
null
26,721
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 becaude robert ate 1/3 of 2/3 of a cake
True_Neither
null
26,722
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 x 2 = 2 and 3 x 3 = 9 .
True_Correct
null
26,723
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 2/9. so he would havee eaten 2 out of 9.
True_Correct
null
26,724
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 as saying 1/3 x 2/3
True_Correct
null
26,725
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 2/3
True_Correct
null
26,726
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 x 2/3 is 1/3 of 2/3
True_Correct
null
26,727
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 2/3 times 1/3 is 2/9
True_Correct
null
26,728
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 2/3 x 1/3 is 2/9
True_Correct
null
26,729
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
26,730
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 c = 3/9 so it is equal to 1/3
True_Neither
null
26,731
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 c = 3/9 so it is equal to 1/3
True_Neither
null
26,732
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 choice b made the most sense
True_Neither
null
26,733
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 he ate 1/3 and x means of so 1/3 of 2/3
True_Correct
null
26,734
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 he ate 1/3 of 2/3 which equals 1/3 x 2/3.
True_Correct
null
26,735
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 he had one whole cake but are one - thirds of his piece so this will show what he ate all together
True_Neither
null
26,736
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 he had one whole cake but are one -thirds of his piece so this will show what ate all together
True_Neither
null
26,737
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 that 1/3 of 2/3 is 2/9 so he would have eaten 2/9 of the cake.
True_Correct
null
26,738
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 its 1/3 of 2/3
True_Correct
null
26,739
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 if there is 2/3 in the fridge and he ate 1/3 it is 2/3-1/3.
True_Misconception
Subtraction
26,740
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 if there is 2/3 in the fridge and he ate 1/3 then it is 1 - 2 1/3.
True_Neither
null
26,741
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 if you want 1/3 of the piece, the piece is 2/3 of the whole. so you have to do 1/3 of the 2/3.
True_Correct
null
26,742
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 it 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 2/3 so robert ate 1/3 of 2/3, which is what the sentence said.
True_Correct
null
26,743
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 of means times
True_Correct
null
26,744
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 ate 1/3 of 2/3 of whole, so you have to multiply each other.
True_Correct
null
26,745
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 ate 1/3 of sally's 2/3. this is, essentially, 1/3 of 2/3. 1/3 of 2/3 is the same as 1/3 * 2/3
True_Correct
null
26,746
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 1/3 of the 2/3 and of also mean x so it is 1/3 x 2/3
True_Correct
null
26,747
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 1/3 of the 2/3 and of slso mean x so it is 1/3 x 2 1/3
True_Correct
null
26,748
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 the remaining 2/3
True_Neither
null
26,749
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 the cake is 2/3 and he eats 1/3 of that and that is 2/3*1/3
True_Correct
null
26,750
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 the question says he ate 1/3 of 2/3 and of is equal to multiplying, so you would multiply the two numbers to find out how much he ate of the whole cake.
True_Correct
null
26,751
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 the question sayss he ate 1/3 of 2/3 and of is equal to multiplying, so you would multiply the two numbers to find out how much.
True_Correct
null
26,752
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 we need 1/3 of 2/3, so we times then together.
True_Correct
null
26,753
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 we need to work out 1/3 of the remaining 2/3 of the cake. therefore we multiply 2/3 by 1/3.
True_Correct
null
26,754
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 when you multiply those the 2/3 cake is cut into 2/9 each piece.
True_Correct
null
26,755
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 when you times numbers under one you get a smaller answer and in this case you need to find a fraction of a fraction so you need to multiply them together to find your answer.
True_Correct
null
26,756
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 x means the same as of with fractions and robert has eaten 1/3 of 2/3 of the cake.
True_Correct
null
26,757
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 x means the same as with fractions and robert has eaten 1/3 of 2/3 of the cake.
True_Correct
null
26,758
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 you have 2/3 and someone eats 1/3 of the 2 1/3 which is the same as multiplying them together.
True_Correct
null
26,759
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 you have 2/3 and someone eats 1/3 of the 2/3 which is the same as multiplying them together.
True_Correct
null
26,760
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 you have to find the whole of the cake.
True_Neither
null
26,761
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 you have to find the whole of the full cake.
True_Neither
null
26,762
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 has eaten 1/3 of 2/3 of a cake
True_Correct
null
26,763
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 of means / times.
True_Correct
null
26,764
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 has to times by what was taken away
True_Correct
null
26,765
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 the answer is b.
True_Neither
null
26,766
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 need to wirk out 1/3 of the remaining 2/3 of cake. therefore we multiply 2 1/3 by 1/3.
True_Correct
null
26,767
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 when you times numbers under one you get a smaller answer and in this case you need to find % of r, so you have to multiply them together to get your answer.
True_Neither
null
26,768
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 the answer because he ate 1/3 of 2/3 or 1/3 x 2/3
True_Correct
null
26,769
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 the answer because whenever you times something a third you are dividing it by three
True_Neither
null
26,770
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 the answer because whenever you times something a third you are dividing it by three
True_Neither
null
26,771
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 thinkk this because 1/3 of 2/3 is the same as 1/3 x 2 1/3.
True_Correct
null
26,772
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 took the 2\3 and the 1\3 from the question and divided it
True_Neither
null
26,773
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 wasn't sure how to do this one.
True_Neither
null
26,774
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 wasn't sure, so i madee a guess.
True_Neither
null
26,775
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 wasnt sure so took a guess.
True_Neither
null
26,776
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 then found the matching pair
True_Neither
null
26,777
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
26,778
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 this out in my revision biik
True_Neither
null
26,779
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 this out in my revision biik
True_Neither
null
26,780
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 wull be looking at 1/3 of 2/3.
True_Correct
null
26,781
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'm not sure but i think that in fractions, for something to be smaller, you times
True_Neither
null
26,782
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'm not sure how to explain that.
True_Neither
null
26,783
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'm note sure how to explain my workings
True_Neither
null
26,784
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'm thinking thid because 2/3 x 1/3 is 2/9.
True_Correct
null
26,785
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 robert eats 1/3 of this piece he ate 1/3 x 1/3 = 1/3.
True_Neither
null
26,786
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 robert eats 1/3 of this piece he eats 1/3 of 2/3. which is 1/3 x 2/3
True_Correct
null
26,787
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 divide the 1/3 that was eaten by the 2 - 1/3 you get, you've got the remainder of the equation.
True_Misconception
Division
26,788
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 find the answer it will = how much he haseaten
True_Neither
null
26,789
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 find the answer it will = howw much he eaten
True_Neither
null
26,790
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 2 1/3 by itself you get 1/3 of 2/3.
True_Correct
null
26,791
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 by 1/3, it is the samr as dividing by 3.
True_Correct
null
26,792
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 take the third part of the equation you get the same number as the second part, so 3/9 is the exactt same as 1/3.
True_Neither
null
26,793
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 times it out, you can see how much he ate.
True_Correct
null
26,794
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 times them both you willl get the answer
True_Neither
null
26,795
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 1/3 of a piece, it's 2/3 of the whole, so you need to do 1/3 x 2 1/3.
True_Correct
null
26,796
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 take the second third, then you will find that you have one third of that third.
True_Neither
null
26,797
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 want to work out a fraction of one part, you multiply it by the other part.
True_Correct
null
26,798
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.
\( \frac{1}{3} \times \frac{2}{3} \)
in fraction, multiplying is the same as saying of. so 1/3 of 2/3 is the same as 1/3 times 2/3
True_Correct
null
26,799
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.
\( \frac{1}{3} \times \frac{2}{3} \)
in this fraction it’s 2/3 of a whole cake . of mean that we need t9 multiply 2/3 with 1/3 ( i’m not sure )
True_Correct
null