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int64
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36.7k
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15 values
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49 values
StudentExplanation
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Category
stringclasses
6 values
Misconception
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35 values
5,700
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 1/2 divided by 6 is 0.08333 as a decimal and 1/12 as a fraction
True_Neither
null
5,701
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 1/2 divided by 6/1 means you have to flip 6/1 over to make 1/6 and then times it by 1/2 which is 1/12
True_Correct
null
5,702
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 1/2 has the same value as 6/12 and if you divide the numerator by 6 (which is what the question is asking) then you get 1/12 which cannot be simplified further.
True_Correct
null
5,703
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 1/2 is the same as 6/12. 6/12 divided by 6 is 1/12.
True_Correct
null
5,704
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 1/2 split into 6 different sections is 1/12
True_Correct
null
5,705
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 1/2 x 1/6 = 1/12. When you divide fractions, you keep the first fraction, change the divide sign into a multiplying sign and then put a 1 over the last number like 1/6 or 1/8.
True_Correct
null
5,706
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 1/2 x 6 = 6/12, 6/12 devided by 6 is 1/12
True_Neither
null
5,707
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 1/2x6=6/12 then u divide it by 6
True_Correct
null
5,708
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 1/6 and 1/2 multiplied together equals 1/12
True_Correct
null
5,709
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 12 is in the two times table and so is 6
True_Neither
null
5,710
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 1half times 1 sixth is 1 twelth
True_Correct
null
5,711
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 2 X6 = 12 and 1X1=1 so that is 1 over 12.
True_Correct
null
5,712
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 2 times 6 = 12 so you would put twelve under the one
True_Correct
null
5,713
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 2 times 6 is 12 and you don't times the numerator so the answer is 1/12
True_Correct
null
5,714
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 2 times 6 is 12 so it is 1/12.
True_Correct
null
5,715
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 2 times 6 is 12 so that means the answer is 1 over 12
True_Correct
null
5,716
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 2 times 6 is 12 so you turn it into the denominator
True_Correct
null
5,717
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 2 times by 6 equals 12 but it is 0.2 if you divide it by 6.
True_Neither
null
5,718
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 2 x 6 = 12 and the 1 stays the same
True_Correct
null
5,719
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 2 x 6 is 12 and 1 x1 is 1
True_Neither
null
5,720
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 2 x 6 is 12 so it is 1 out of 12
True_Neither
null
5,721
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 6 can be 1/6 so 1/6 divided by 1/2=1/12
True_Correct
null
5,722
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 6 divided by two is 12
True_Neither
null
5,723
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 6 is 6 ones and you flip it around and then times the numbers together.
True_Correct
null
5,724
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 6 is 6/1 is you do 1/2 divide it be 6/1 which is 1/12
True_Neither
null
5,725
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 6 is the same as 6/1 flip and time so 1x1 6x2
True_Correct
null
5,726
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 6 times 2 = 12 so the answer is 12
True_Correct
null
5,727
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 6 times 2 is 12 and the 1 isn't timsed by anything
True_Neither
null
5,728
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 6 times the denominator of the fraction gives you 12 so it must be1/12
True_Correct
null
5,729
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 6 times two is twelve
True_Neither
null
5,730
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 6 x 2 = 12 you don't change the top number
True_Correct
null
5,731
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 6*2 is 12 that’s why the result is 1:12
True_Correct
null
5,732
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 6/1 flipped = 1/6 and 1/2 multiplied by 1/6 = 1/12.
True_Correct
null
5,733
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 6x2 is 12 and that is the denominator and 1 would be the numerator.
True_Correct
null
5,734
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 6x2 is 12 and you keep the top the same I think I’m not sure this is right though
True_Correct
null
5,735
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 6x2= 12 (multiply bomber and denominator)
True_Neither
null
5,736
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because 6x2=12 and you keep the numerator the same
True_Correct
null
5,737
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because Dividing by a whole number is the same as X.
True_Neither
null
5,738
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because I already know we have to do 1/2 times by 1/6 which equals to 1/12.
True_Correct
null
5,739
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because I changed six into a fraction.
True_Neither
null
5,740
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because I did 6 times 2 and got 12 and then you just keep the numorator the same.
True_Correct
null
5,741
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because I did 6 times 2=12 and then put it as the denominator to get 1/12
True_Correct
null
5,742
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because I did KFC which is keep, flip, change and I got the answer 1/12
True_Correct
null
5,743
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because I did keep change flip
True_Correct
null
5,744
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because I did quip change flip
True_Correct
null
5,745
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because I did write it, flip it, times it.
True_Correct
null
5,746
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because I forgot it was division
True_Neither
null
5,747
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because I know my place value and that is correct
True_Neither
null
5,748
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because I know that when you are dividing a fraction you times the denominator by the number you are dividing by. (1/12)
True_Correct
null
5,749
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because I made 6 wholes into 1/6. 1/6 x 1/2=1/12
True_Correct
null
5,750
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because I multiplied just the top numbers because 6 is like 1/6
True_Correct
null
5,751
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because I switched the numbers around and multiplied then together and I got 1over12
True_Correct
null
5,752
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because I times the hole number by the denominator to get 1 twelfth.
True_Correct
null
5,753
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because I timesed 6 by 2 and got 12 kept the numerater the same and the answer is 1/12
True_Correct
null
5,754
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because I timesed the bottom and divided the top
True_Neither
null
5,755
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because I used keep me change me turn me around and the calculation gave me 1/2 X 1/6 which equals 1/12
True_Correct
null
5,756
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because I x by 2 then I know the answer
True_Neither
null
5,757
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because a 1/2 as a decimal is 0.5 so if u divide 0.5 by 6 the answer as a proper fraction would be 1/12
True_Neither
null
5,758
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because a whole 12 and half is 6 so i think it is 1/12
True_Neither
null
5,759
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because all you need to do is times the denominator by 6
True_Neither
null
5,760
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because for a fraction devide a whole number you times the denominator by the number so you get 1/12
True_Correct
null
5,761
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because half of 12 is 6 so 1/2 divided by 6
True_Neither
null
5,762
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because i did ' Keep 1 half, change the divide symbol into a multiply symbol, and flip the six into 1 over 6'
True_Correct
null
5,763
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because i did 1 x 6 =6 then 2 x 6 =12 then divided the denominator by 6 and not the numerater .
True_Neither
null
5,764
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because i multipled 2 and 6 then 1 and 1
True_Correct
null
5,765
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because i timesed 6 by 2 to give me 12 and left the one.
True_Correct
null
5,766
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because i timesed the denominator by the whole number
True_Correct
null
5,767
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because i use kcf method meaning keep change flip
True_Correct
null
5,768
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because i used keep change flip to work out the answer
True_Correct
null
5,769
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because if I was dividing half by 6 and the other half is the same there for you get 12
True_Neither
null
5,770
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because if it's a divide you switch to a times
True_Neither
null
5,771
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because if its a divide you switch it to a times so 1/2 x 1/6
True_Correct
null
5,772
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because if the numerator cant be divided by the divison number (6), thgen you do the denominator times the division number and 6 x 2 = 12.
True_Correct
null
5,773
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because if you are divided 2 by 6 it will be 12 and it = 1/12
True_Misconception
FlipChange
5,774
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because if you can't divide the top, times the bottom!
True_Neither
null
5,775
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because if you cannot divide by the top times the bottom
True_Neither
null
5,776
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because if you can’t divide you times
True_Misconception
Mult
5,777
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because if you change 6 to a fraction it is 6/1 and if you swap that around and times it by 1/2 it is 1/12
True_Correct
null
5,778
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because if you change 6 to six ones then change it to one sixth and times it by a half is 1/12
True_Correct
null
5,779
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because if you convert 1/2 into 6/12 and you share 6/12 which is equal to 1/2 between 6 people then everybody gets 1/12 each.
True_Correct
null
5,780
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because if you divide it by 6 it would get you to 1/12 your answer
True_Neither
null
5,781
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because if you divide you actually times the denominator by whatever your dividing by
True_Correct
null
5,782
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because if you do 1/2 times 1/6=1/12 so that is the answer
True_Correct
null
5,783
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because if you do 2x6 for your denominator and 1x1 for your nominator you will get for your fraction 1/12
True_Correct
null
5,784
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because if you do 6 times 2 it =12 and then put your 1 on the top
True_Correct
null
5,785
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because if you do 6*2 it equals 12 so I put 1/12
True_Correct
null
5,786
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because if you do 6x2 =12 and if you put that as a fraction it is 1 --- 12
True_Correct
null
5,787
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because if you do the divide method and then multiply them unwilling get the answer A
True_Neither
null
5,788
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because if you do the inverse it would be one twelve
True_Correct
null
5,789
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because if you draw a picture of a half and split it into 6 it equals 1/12 for every one because its a half there are another 6 on the other half
True_Correct
null
5,790
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because if you flip 6/1 it is 1/6 and times that by 1/2 is 1/12
True_Correct
null
5,791
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because if you flip six over one to one over six then times it you get one twelfth
True_Correct
null
5,792
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because if you follow the rule of keep change flip and put the 6 over 1 it will give you the answer.
True_Correct
null
5,793
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because if you half 1 pizza you get 2 halfs, then divide 1 half by 6 and it would be 1/12 in its simplest form.
True_Correct
null
5,794
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because if you have half a cake and cut into 6 pieces the cake would be split into 12 pieces.
True_Correct
null
5,795
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because if you keep change flip then multiply
True_Correct
null
5,796
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because if you make the 6 6/1 it is easier to divide and you just divide it normally.
True_Neither
null
5,797
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because if you times 1 by 1 and 2 by 6 it adds up to i
True_Correct
null
5,798
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because if you times 6 by 2 it would be twelve but then u times 6 by 1 =1
True_Neither
null
5,799
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
Because if you times the denominator and the numerator, it is 6/12 and if you divide that by 6 then it equals 1/12.
True_Correct
null