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 |
|---|---|---|---|---|---|---|
23,700 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 1 third=5 fifteenths and 2 fifths is 6 fifthteenths 5+6=11 | True_Correct | null |
23,701 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if u change the denominators to 15 and then work out the numerators u get that answer | True_Neither | null |
23,702 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the lowest common denominator is 15 so then we have 5/15 and 6/15 which when you add together you get 11/15 | True_Correct | null |
23,703 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 1 3rd multiplyed by 5 is 5 15ths and 2 5ths multiplyed by 3 is 6 15ths and 5+6=11 and you don’t add the denominator when adding fractions so it’s 11 15ths | True_Correct | null |
23,704 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 1 third x 5 = 5/15 and 2/5 x 5 = 6/15 | True_Correct | null |
23,705 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 1 times 5 is 5 . 2 times 3 is 6 add them together to make 11 the numerator and 3 x 5 = 15 to make the denominator | True_Correct | null |
23,706 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 1/3 + 2/5 is the same as 5/15 + 6/15 which = 11/15 | True_Correct | null |
23,707 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 1/3 = 10/30 and 2/5=12/30 so 22/30 which is the same as 11/15 | True_Correct | null |
23,708 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 1/3 =5/15 2/5=6/15 add them together and you get 11/15 | True_Correct | null |
23,709 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 1/3 converted into 15ths is 5/15 and 2/5 converted into 15ths is 6/15 and add the together you would get 11/15 | True_Correct | null |
23,710 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 1/3 converted is 5/15 and 2/5 converted is 6/15 so you would do 5/15 + 6/15 | True_Correct | null |
23,711 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 1/3 converts to 5/15. 2/5 converts to 6/15 add them together equals 11/15. | True_Correct | null |
23,712 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 1/3 goes into 15 and 2/5 into 15 | True_Neither | null |
23,713 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 1/3 goes to 5/15 and 2/5 goes to 6/15 and when you add fractions you keep the bottom number the same so it would be 11/15 | True_Correct | null |
23,714 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 1/3 in 15ths is 5/15 and 2/5 in 15ths is 6/15 and if you add them together you get 11/15. | True_Correct | null |
23,715 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 1/3 is 5 and 2/5 is 6 so it is 11/15 | True_Correct | null |
23,716 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 1/3 is 5/15 and 2/5 is 6/15 add them together and you get 11/15 | True_Correct | null |
23,717 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 1/3 is 5/15 and 2/5 is 6/15 and if you add them together it is 11/15 | True_Correct | null |
23,718 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 1/3 is equal to 5/15 and 2/5 is equal to 6/15 and altogether 11/15 | True_Correct | null |
23,719 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 1/3 is equal to 5/15 then 2/5 is equal to 6/15 plus them together =d | True_Correct | null |
23,720 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 1/3 is equivalent to 5/15 and 2/5 is equivalent to 6/15 and you add them together to make 11/15 | True_Correct | null |
23,721 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 1/3 is equivalent to 5/15 and 2/5 is equivalent to 6/15 so 5/15+6/15=11/15 | True_Correct | null |
23,722 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 1/3 times by 5=5/15 and 2/5 times by 3 =6/15 6/15+5/15=11/15 | True_Correct | null |
23,723 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 1/3x5=5/15 and then 2/5x3=6/15 and then them added together equals 11/15 | True_Correct | null |
23,724 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 15 goes into them then add the multiples up | True_Neither | null |
23,725 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 15 gose into both numbers then if you do 3times 2 it equals 6 then do 5 times 1 it equals 5 then add 5 plus 1 equals 11. | True_Correct | null |
23,726 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 15 is a common multiple of 5 and 3 so you would times the 3 by 5 and the numerator the same then do the same on the other side but times it by 3. | True_Correct | null |
23,727 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 15 is a multiple of 3 and 5 and then you do the same to the top number and ad the fractions together | True_Correct | null |
23,728 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 15 is in the 3 and 5 times table and if you x the bottom you x the top by the same number | True_Correct | null |
23,729 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 15 is the closest multiple of both numbers then you times the top number by the amount you times the bottom numbers by and it gives you 11/15 | True_Correct | null |
23,730 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 15 is the denominator and 11 is the numerator | True_Neither | null |
23,731 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 15 is the lowest common multiple and 5+6=11 | True_Correct | null |
23,732 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 15 is the lowest common multiple and 5+6=11 | True_Correct | null |
23,733 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 15 is the lowest common multiple and 5+6=11. | True_Correct | null |
23,734 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 1x5 is 5 and 2x3 is 6 so add them together and that is 11 then make both of the denominators 15 because 3x5 is 15. | True_Correct | null |
23,735 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 2 times 3 which will turn the denominator times the which is 15ths the third will equal 5 15ths | True_Neither | null |
23,736 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 2/5 is equal to 6/15 and 1/3 is equal to 5/15 if you add them together you get 11/15 | True_Correct | null |
23,737 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 3 and 5 both go into 15 and 1 times five (because 3 times by 5 is 15) plus 6 (2 times 3 from the five times 3=15)would make 11 | True_Correct | null |
23,738 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 3 and 5 both go into 15 and then you make then bigger and add the 5 and 6 together and get your answer. | True_Correct | null |
23,739 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 3 and five common multiple is 15 so i times 2 by three and 1 by 5 | True_Correct | null |
23,740 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 3 goes into 5 3 times to make 15 same with the denominator on the right do the same to the top so 5 times 1 equals 5 and 2times 3 equals 6 then add them together and you will get your answer | True_Correct | null |
23,741 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 3 times 5 = 15 so that is the denominator and so i add 1,5,2 and 3 and it = 11 so the answer is 11/15 | True_Correct | null |
23,742 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 3 times 5 equals 15, 1 times 5 equals 5, 2 times 3 equals 6. so, we have got the fractions 5/15 plus 6/15. 5 plus 6 equals 11. the answer is 11/15. | True_Correct | null |
23,743 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 3 times 5 is 15 so times the 2 by 3 and 1 by 5 and add them together and you get 11/15 | True_Correct | null |
23,744 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 3 times by 5 is 15 and 3 and 5 are factors of 15 and you times the denominators together | True_Neither | null |
23,745 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 3 x 5 is 15, and if you convert it then you get 11/ 15. | True_Neither | null |
23,746 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 3*5 is 15 so we have to do the something we did to the top as the bottom. this will be 5/15+6/15=11/15 | True_Correct | null |
23,747 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 3x5 = 15 so its gonna be 11/15 | True_Correct | null |
23,748 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 3x5 and 5x3=15 you times 1x5=5 and 2x3=6 and 5+6=11 | True_Correct | null |
23,749 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 3x5 is 15 and 5x3 is fifteen
6+5=11 | True_Correct | null |
23,750 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 3x5 is 15 so 1x5 is 5 and 2x3 is 6 so 6+5 is 11 | True_Correct | null |
23,751 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 3x5 is 15 so the denominator will be 15 and you must do the same thing to the numerator | True_Correct | null |
23,752 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 3x5=15 and 5x3=15 and you do the same to the top | True_Neither | null |
23,753 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 3x5=15 so 1x5=5 and then 5x3=15 so 2x3=6 so 6+5=11 so it is 11/15 | True_Correct | null |
23,754 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 3x5=15 so 3x2 is 6 and 5x1=5 so 5 over 15 add 6 over 15 is 11 over 15. | True_Correct | null |
23,755 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 3x5=15 so you have to do the same to the top | True_Neither | null |
23,756 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 5 and 3 lcd is 15 so if you times 1/3 by 5 and 2/5 by 3 then you get 5/15+6/15=11/15 | True_Correct | null |
23,757 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 5 fifteenths plus 6 fifteenths equals 11 fifteenths | True_Correct | null |
23,758 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 5 times 1 is five plus 3 times 2 which is 6 and five add six is 11 | True_Correct | null |
23,759 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 5+6=11 so the answer is 11/15 | True_Correct | null |
23,760 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 5/15 equals 1/3 and 6/15 equals 2/5 because it is all multiplied by 3 | True_Correct | null |
23,761 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 5/15+6/15=11/15 so that would be the answer. | True_Correct | null |
23,762 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 5x1=5 2x3=6 3x5=15 and 5+6=11 and its 11 fifteenths | True_Correct | null |
23,763 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 5x3 = 15. and then you cross multiply so (5x1)+ (3x2) = 11
so 11/15 | True_Correct | null |
23,764 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 5x3=15 and 3x2=6 and 1x5=5 and then add it | True_Correct | null |
23,765 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 5x3=15 so 2x3 =6 so 6 over 15 and 3x5 =15 and 1x5 is 5 add the numerators is 11 and keep denominators the same is 11 over 15 | True_Correct | null |
23,766 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because 5×3=15 and 3×5=15 and you times the numerator as well and them together and you get 11/15 | True_Correct | null |
23,767 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because a common denominator of 3 and 5 is 15 so then you would have 5/15+6/15 then you simply add the numerators together so 5+6 which is 11 so the answer is 11/15. | True_Correct | null |
23,768 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because a multiple of 3 and 5 are 15 so 3 times by 5 = 15 and 5x3=15 so 5+6=11 | True_Correct | null |
23,769 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because abbreviation for 15 about the 3 and 5. | True_Neither | null |
23,770 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because both 1/3 and 2/5 made even to 15 is 5/15+6/15 which then equals 11/15. | True_Correct | null |
23,771 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because both can go to 15 and the other one that has 15 as the denominator is incorrect because is times the denominators and adds the numerators so it is wrong | True_Neither | null |
23,772 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because change into 15s which is 5/15+6/15do the addition equals 11/15 | True_Correct | null |
23,773 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because common denominator is 15 then all other numbers add to 11 | True_Neither | null |
23,774 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because convert the 3 and 5 to 15. times the 1 and 2 by 5 and 3 to get 11/15 | True_Correct | null |
23,775 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because converting the denominators into equivalent ones you have to do it for the numerators and then you add them together | True_Neither | null |
23,776 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because find common denominator witch makes 15 x2 by 3 and 1 by5 | True_Correct | null |
23,777 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because find the common denominateor and it was 15 1 x 5 = 5 and 2 x 3 = 6 6 + 5 is 11 so it would be 11/15 | True_Correct | null |
23,778 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because find the common denominator 3 x 2 | True_Neither | null |
23,779 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because first i added the top one and then the bottom ones | True_Neither | null |
23,780 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because first you have to make the denominator the same which is 15 and then the two numerators together which is 3 | True_Misconception | Denominator-only_change |
23,781 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i added then and i changed them to have the same common denominator. | True_Neither | null |
23,782 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i changed it into 15ths and it equals 11 | True_Neither | null |
23,783 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i changed the bottom numbers to 15 and times the top number. | True_Neither | null |
23,784 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i changed then into 15ths then added them together | True_Neither | null |
23,785 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i converted 1/3 into5/15 and 2/5 into 6/15 and i aced them together to get11/15 | True_Correct | null |
23,786 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i converted the denominators to 15 and the numerators were 5 and 6 and 5+6=11 | True_Correct | null |
23,787 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i converted the fractions to have the same denominator then i added them together. | True_Neither | null |
23,788 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i converted them to fifteenths and added them together | True_Correct | null |
23,789 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i did criss cross apple sauce and worked it out | True_Neither | null |
23,790 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i fond the lowest common multiple and it was 15 then i timesed 5 by 3 and 3 by 5 and got 6/15 add 5/15=11/15 | True_Correct | null |
23,791 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i found the common denominator | True_Neither | null |
23,792 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i found the common denominator for 3 and 5 which was 15 then times the numerators by how much i times the denominators to get 15 | True_Correct | null |
23,793 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i found the common denominator which is 15 and found the answer | True_Neither | null |
23,794 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i found the lowest common denominator and then did the same to the top as i did to the bottom. | True_Correct | null |
23,795 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i got a common denominator of 15 and 5 + 6 =11 | True_Correct | null |
23,796 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i knew because i need to do denominator was going to be 15 by times in five by three | True_Neither | null |
23,797 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i know how to add fractions. | True_Neither | null |
23,798 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i know that you have to find the common denominator to get the answer and it was 15, so then i did 5/15 add 6/15 equals 11/15 | True_Correct | null |
23,799 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i made the denomiminators the same so i could ad the numerator | True_Neither | null |
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