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int64
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49 values
StudentExplanation
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stringclasses
6 values
Misconception
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35 values
26,500
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 has 1/3 of thr cake, so he is 2 1/3x1/3.
True_Correct
null
26,501
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 has consumed 2 out of 9 of the cake.
True_Neither
null
26,502
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 has eaten 1/3 of the 2/3 and of can be expressed as times, so the number sentence is 1/3x2/3.
True_Correct
null
26,503
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.
\( \frac{1}{3} \times \frac{2}{3} \)
Robertt ate 1/3 of the pie.
True_Neither
null
26,504
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.
\( \frac{1}{3} \times \frac{2}{3} \)
Robrrt is eating 1/3 of 2/3. that's 1/3x2/3
True_Correct
null
26,505
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.
\( \frac{1}{3} \times \frac{2}{3} \)
Sally put 18 in the fridge and Robert eats 6 so the whole cake is 27. sally is left with 18 - 27 = 1/3 and 1/3*2/3 = 2/9.
True_Correct
null
26,506
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.
\( \frac{1}{3} \times \frac{2}{3} \)
Since 1x2=2 and 3x3=9, then 2 times 1 equals 2 and 2/9.
True_Correct
null
26,507
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.
\( \frac{1}{3} \times \frac{2}{3} \)
Since you would have to times them together to get the fraction you wanted.
True_Correct
null
26,508
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.
\( \frac{1}{3} \times \frac{2}{3} \)
Sinve Robert ate 1/3 of the 2/3 cake, then we divide 2 1/3 by 1/3.
True_Misconception
Division
26,509
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.
\( \frac{1}{3} \times \frac{2}{3} \)
So 1/3 of 2/3 = 2 / 9. So 2 1/3 x 2 = 8 2/9.
True_Correct
null
26,510
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.
\( \frac{1}{3} \times \frac{2}{3} \)
So you do 2/3 x 1/3 which is 2/9.
True_Correct
null
26,511
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.
\( \frac{1}{3} \times \frac{2}{3} \)
The answer is b because it is his slice. It is meant to trick you because you would think it's take-away.
True_Neither
null
26,512
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.
\( \frac{1}{3} \times \frac{2}{3} \)
There is 2 / 3 of the fridge and robert eats 1/3 then you have to multiply it by 2 as it says of.
True_Neither
null
26,513
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.
\( \frac{1}{3} \times \frac{2}{3} \)
This is how yiu come up with the total.
True_Neither
null
26,514
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.
\( \frac{1}{3} \times \frac{2}{3} \)
This is the most logical answer.
True_Neither
null
26,515
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.
\( \frac{1}{3} \times \frac{2}{3} \)
This is the only logical explanation.
True_Neither
null
26,516
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.
\( \frac{1}{3} \times \frac{2}{3} \)
This one is right because it is the same as 2/3x1/3 just hidden in a word sentence.
True_Correct
null
26,517
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.
\( \frac{1}{3} \times \frac{2}{3} \)
This takes one third out of the 2/3 portion which is 2/9.
True_Correct
null
26,518
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.
\( \frac{1}{3} \times \frac{2}{3} \)
To complete the cake, you have to find the whole cake.
True_Neither
null
26,519
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.
\( \frac{1}{3} \times \frac{2}{3} \)
To find a tenth of an amount of something, you have to multiply both sides by.5.
True_Neither
null
26,520
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.
\( \frac{1}{3} \times \frac{2}{3} \)
To find thee answer, you times them together.
True_Correct
null
26,521
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.
\( \frac{1}{3} \times \frac{2}{3} \)
To times fractions you times across (1 times 2 equals 2 thenn 3 times 3 equal 9.
True_Correct
null
26,522
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.
\( \frac{1}{3} \times \frac{2}{3} \)
To work this out you would need to find the 1/3 of 2/3 that he has eaten
True_Correct
null
26,523
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.
\( \frac{1}{3} \times \frac{2}{3} \)
We worked it out in class
True_Neither
null
26,524
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.
\( \frac{1}{3} \times \frac{2}{3} \)
When the question says a fraction of s fraction means thatt the fractions need to be multiplied together, which means the 2 1/3 needs to to mutipled by 1/3.
True_Correct
null
26,525
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.
\( \frac{1}{3} \times \frac{2}{3} \)
When you eat a cake your cake ratio will need to be lowered, which you can do by multiplying the fractions.
True_Correct
null
26,526
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.
\( \frac{1}{3} \times \frac{2}{3} \)
You do 2 x 1 and get 1 which is 2/12 or 1/12.
True_Neither
null
26,527
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.
\( \frac{1}{3} \times \frac{2}{3} \)
You have to multiply that by 2 because 2 / 3 is in fridge and he eats 1/3.
True_Correct
null
26,528
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.
\( \frac{1}{3} \times \frac{2}{3} \)
You have to take what was eaten and multiply by what used to be there.
True_Correct
null
26,529
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.
\( \frac{1}{3} \times \frac{2}{3} \)
You need to see how much cake he ate.
True_Neither
null
26,530
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.
\( \frac{1}{3} \times \frac{2}{3} \)
You need to times it as he is having 1/3 of 2 1/3
True_Correct
null
26,531
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.
\( \frac{1}{3} \times \frac{2}{3} \)
You would need to do the same thing with the other amount added.
True_Neither
null
26,532
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.
\( \frac{1}{3} \times \frac{2}{3} \)
and so, you do 2/3 timess 1/3.
True_Neither
null
26,533
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.
\( \frac{1}{3} \times \frac{2}{3} \)
as he eat 1/3 of 2/3 you have to times it as if you divided by a fraction the number gets higher.
True_Correct
null
26,534
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.
\( \frac{1}{3} \times \frac{2}{3} \)
as it is 1/3 of a group of 2 1/3.
True_Neither
null
26,535
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.
\( \frac{1}{3} \times \frac{2}{3} \)
as it is 1/3 of a group of 2/3
True_Correct
null
26,536
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.
\( \frac{1}{3} \times \frac{2}{3} \)
as you are multipliying with a fraction it is getting smaller.
True_Neither
null
26,537
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.
\( \frac{1}{3} \times \frac{2}{3} \)
as you are trying to find out what 1/3 of 2/3 is
True_Correct
null
26,538
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.
\( \frac{1}{3} \times \frac{2}{3} \)
as you multiply with a fraction it is getting smaller.
True_Correct
null
26,539
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.
\( \frac{1}{3} \times \frac{2}{3} \)
b as to get the answer you have to multiply
True_Correct
null
26,540
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.
\( \frac{1}{3} \times \frac{2}{3} \)
b beacause uts keep swap flip
True_Neither
null
26,541
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.
\( \frac{1}{3} \times \frac{2}{3} \)
b beacause uts keep swap flip.
True_Neither
null
26,542
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.
\( \frac{1}{3} \times \frac{2}{3} \)
b because 3 nineths is the same as 1 third and tht is the answer
True_Neither
null
26,543
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.
\( \frac{1}{3} \times \frac{2}{3} \)
b because if roberts ate 1/3 you would need to multiply
True_Correct
null
26,544
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.
\( \frac{1}{3} \times \frac{2}{3} \)
b because it can't be a,c or d
True_Neither
null
26,545
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.
\( \frac{1}{3} \times \frac{2}{3} \)
b because it is 1/3 of 2/3 so it is 1/3 multiplied by 2/3
True_Correct
null
26,546
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.
\( \frac{1}{3} \times \frac{2}{3} \)
b because robert eats 1/3 of 2/3
True_Correct
null
26,547
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.
\( \frac{1}{3} \times \frac{2}{3} \)
b because robert eats 1/3 of 2/3
True_Correct
null
26,548
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.
\( \frac{1}{3} \times \frac{2}{3} \)
b because the others do not work.
True_Neither
null
26,549
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.
\( \frac{1}{3} \times \frac{2}{3} \)
b because the question is asking you how much of the cake he has eaten so that is why you need to times the together. 2/3 x 1/3 = 2/9.
True_Correct
null
26,550
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.
\( \frac{1}{3} \times \frac{2}{3} \)
b because the question is asking you how much of the cake he has eaten, so you need to times the two together. 2/3 x 1/3 = 2/9.
True_Correct
null
26,551
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.
\( \frac{1}{3} \times \frac{2}{3} \)
b because to do 2/3 3/1 youu switch the 3 1/3 around to become 1/3 so then you do the calculation 2 1/3 x 1/3 which would be a.
True_Neither
null
26,552
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.
\( \frac{1}{3} \times \frac{2}{3} \)
b because when i worked it out, my answer was 2/9.
True_Neither
null
26,553
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.
\( \frac{1}{3} \times \frac{2}{3} \)
b because when i worked it out, my answer was 2/9.
True_Correct
null
26,554
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.
\( \frac{1}{3} \times \frac{2}{3} \)
b becausee it is 1/3 of 2/3 so it was 1/3 multiplied by 2 1/3.
True_Correct
null
26,555
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.
\( \frac{1}{3} \times \frac{2}{3} \)
b is correct, as the question is telling you to find 1/3 of 2/3 which is the same as 1/3 x 2/3.
True_Correct
null
26,556
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.
\( \frac{1}{3} \times \frac{2}{3} \)
b is the answer because i eliminated all of the other options.
True_Neither
null
26,557
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.
\( \frac{1}{3} \times \frac{2}{3} \)
b is the answer because when the question says a fraction of a fraction means that the fractions need to be mutiplyed together, which means that 2/3 needs to be mutiplyed by 1/3.
True_Correct
null
26,558
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.
\( \frac{1}{3} \times \frac{2}{3} \)
b since you need to find a fraction within a fraction making it multiplication
True_Correct
null
26,559
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.
\( \frac{1}{3} \times \frac{2}{3} \)
bc he is eating so he is timesing
True_Correct
null
26,560
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 "of" means x (times). so it should be two thirds x one third
True_Correct
null
26,561
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 "of" means x times. so it should be two thirds X one third.
True_Correct
null
26,562
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 1/3 add 2/3 is obviously not the answer
True_Neither
null
26,563
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 1/3 and 2/3 equals a whole
True_Neither
null
26,564
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 2/3x1/3=2/9 and also x is actually making it smaller
True_Correct
null
26,565
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 1/3 of 2/3 which means 1/3x2/3
True_Correct
null
26,566
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 eats 1/3 of 2/3 and of is another word for times
True_Correct
null
26,567
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 eats 1/3 of 2/3 and of is another word for times
True_Correct
null
26,568
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 eats 1/3 of 2/3 and of means times
True_Correct
null
26,569
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 eats 1/3 of cake made up of a full 3rd
True_Neither
null
26,570
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 eats 1/3 of cake that's made up of a fulll 1/3.
True_Neither
null
26,571
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’s eaten a third of the cake
True_Neither
null
26,572
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 i did 2/3 divided by 1/3.
True_Misconception
Division
26,573
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 i dividedd 2 by 1/3.
True_Neither
null
26,574
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 he ate 1 it is the same as 1/3
True_Neither
null
26,575
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 he ste 1 then it is equal to 1 / 3
True_Neither
null
26,576
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 add them then you will get the right answer.
True_Neither
null
26,577
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 add them they are a whole.
True_Neither
null
26,578
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 have 1/3 of 2/3 this is the same as 1/3 x 2/3
True_Correct
null
26,579
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 have 1/3 of 2/3, that means 1/3 x 2/3 or 2/3 x 1/3
True_Correct
null
26,580
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 times them two it will get you the answer
True_Neither
null
26,581
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 it is asking how robert has eaten
True_Neither
null
26,582
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 it is 1 third of 2 thirds and of means times so 1 third times 2 thirds.
True_Correct
null
26,583
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 it is the way to find out the whole cake.
True_Neither
null
26,584
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 it is the way to solve the cake .
True_Neither
null
26,585
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 it makes it the number you started with
True_Neither
null
26,586
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 it will give us what is left of the cake
True_Neither
null
26,587
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 it will give us what's left in the cake.
True_Neither
null
26,588
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 of means times "one third of"
True_Correct
null
26,589
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 of means you need to times the two numbers together (i think it would be 2 /9
True_Correct
null
26,590
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 of times "one thirdd of" means times means "because of means" times times,
True_Correct
null
26,591
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 robert ate 1/3 of 2/3 which is also 1/3*2/3
True_Correct
null
26,592
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 robert ate 1/3 of the 2/3 cake, so we divide 2/3 by 1/3.
True_Neither
null
26,593
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 robert is eating a 1/3 of 2/3 meaning you need to multiply the two fractions together
True_Correct
null
26,594
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 sally eats 2 thirds of a whole cake so it’s 2 thirds times 1 third
True_Correct
null
26,595
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 sally only has 1 third. a third of of a third is 2 ninths
True_Correct
null
26,596
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 sally only hss 1 / 3 and a 3 of 1/ 3 is 2 - 1 12.
True_Neither
null
26,597
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 thats how you resolve it
True_Neither
null
26,598
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 thats how you solve it
True_Neither
null
26,599
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 is 2/9 and 1/3 times 2/3 is 2/9
True_Correct
null