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 |
|---|---|---|---|---|---|---|
24,800 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | its the common denominator 1/3 + 2/5 5x1&3 and also 3 times 2&5 | True_Correct | null |
24,801 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | it’s 11 since you have to find a denominator that is in the 3 and 5 times tables then you times the top the same as the bottom leaving you with 5/15 and 6/15 add then together and 11/15 | True_Correct | null |
24,802 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | it’s d because i made both the denominators the same into 15 and then added together the new fractions | True_Correct | null |
24,803 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | it’s one of 2 with the denomination of 15 and it’s not 2+1 soooooo | True_Neither | null |
24,804 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | it’s really hard to explain to this | True_Neither | null |
24,805 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i’m getting the denominators the same | True_Neither | null |
24,806 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | just find a number that the denominator goes into and what ever it is times the top by the same | True_Correct | null |
24,807 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | lcm is 15 so times them to 15 and d is the answer. | True_Neither | null |
24,808 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | lcm is 15 so you multiply 1 by 5 and 2 by 6 and add them together so 6+5=11 | True_Correct | null |
24,809 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | lcm is 3x5 so the denominator is 15 and you always times top by bottom so answer is 11/15 | True_Correct | null |
24,810 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | lcm of 3 and 5 is 15
1/3 is 5/15
2/5 is 6/15
if you add them together you get 11/15 | True_Correct | null |
24,811 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | lcm of 3 and 5 is 15 for
1x5= 5
2x3= 6
5+6=11
so it is 11/15 | True_Correct | null |
24,812 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | lcm of 3 and 5 is 15 so 5/15 + 6/15 = 11/15 | True_Correct | null |
24,813 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | lcm of 3 and 5 is 15, 3*5= 15 so you times the 1 by 5 and the 2 by 3 as 5*3=15, then you add them together | True_Correct | null |
24,814 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | lcm of 3 and 5 is 15, top number is multiplied by the same number as its base and simple addition is then carried out to give 11/15 | True_Correct | null |
24,815 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | lcm= 15 so 1/3 = 5/15 and 2/5 = 6/15 so 5 and 6 is 11 and then its 11/15 | True_Correct | null |
24,816 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | look for your lcm (which is 15)and then what you do is exactly the same to the top | True_Correct | null |
24,817 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | lowest common denominator times the number above | True_Neither | null |
24,818 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | lowest common multiplier is 15, 5x1 and 3x2 is 11/15ths | True_Correct | null |
24,819 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | made a common denominator and it = 11/15 | True_Neither | null |
24,820 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | made the denominators the same and then added the fractions | True_Neither | null |
24,821 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | make 1/3 5/15 make 2/5 6/15 then add them and you get 11/15. | True_Correct | null |
24,822 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | make denominator 15 and then add 5 and 6 to get numerator | True_Neither | null |
24,823 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | make denominator to 15
:5/15, 6/15 then add them together | True_Correct | null |
24,824 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | make denominators same then add them | True_Neither | null |
24,825 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | make denominators the same so in this case 15. multiply 1 by 5 and 2 by 3 and add numerators together. answer is 11 over 15 | True_Correct | null |
24,826 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | make sure the denometer is the same then add | True_Neither | null |
24,827 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | make the denominator 15 as it is 3 and 5's lcm then multiply the numerator by 5 and 3 =5+6/15=11/15 | True_Correct | null |
24,828 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | make the denominator equal and then minus the nominators. | True_Neither | null |
24,829 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | make the denominator the same and the numerators change | True_Neither | null |
24,830 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | make the denominator the same and then add them up. | True_Neither | null |
24,831 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | make the denominator the same by making them into lcm, which is 15. you will also have to increase the numerator by how much you multiplied the denominator to be the lcm.
therefore
15/3 = 5 and 1x5 = 5
15/5 = 3 and 2x3 = 6 | True_Correct | null |
24,832 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | make the denominator the same by multiplying 1/3 by 5, and 2/5 by 3, then add the numerators together | True_Correct | null |
24,833 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | make the denominators the same and get 5/15+6/15=11/15 | True_Correct | null |
24,834 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | make the denominators the same and then add them | True_Neither | null |
24,835 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | make the denominators the same first | True_Neither | null |
24,836 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | make the denominators the same so 3x5=15 so they are the same. then times the numerators as well (5 and 6). you are left with 5 over 15 + 6 over 15 which = 11/15 | True_Correct | null |
24,837 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | make the denominators the same so just times the denominator together and do the same to the top then add them together | True_Neither | null |
24,838 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | make the denominators the same then add the top numbers | True_Neither | null |
24,839 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | make the denominators the same which is 15 and then find the numerators which is 5+6=11 so it is 11/15 | True_Correct | null |
24,840 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | make the fraction into the same denominator, (find the l.c.m.) ,then times the number
=5/15+6/15
=11/15 | True_Correct | null |
24,841 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | make them both 15. so. /15. /15. and so you did 1 x 5=5 so 5/15 and you did 2 x 3=6 so 5/15+6/15=11/15 | True_Correct | null |
24,842 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | make them equal fractions and it then equals the answer once you add them together | True_Neither | null |
24,843 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | making the denominator the same, it will be 15 as its the lcm. then, multiply it by its number to the numerator | True_Neither | null |
24,844 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | multiple to make the denominator the same then added | True_Neither | null |
24,845 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | multiplied the denominators by each other and multiplied the numerator by the same as the number below. then added the two fractions once they had the same denominator. | True_Correct | null |
24,846 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | multiply the denominator by 5 to get 15 u have to do the same to the top so you get 5+6 which is 11 | True_Correct | null |
24,847 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | multiply the denominators, then x multiply | True_Neither | null |
24,848 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | multiply the first one by 5 and the second one by 3 | True_Neither | null |
24,849 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | multiply the fractions by the other denominator. 1/3 x 5 = 5/15, 2/5 x 3 = 6/15. add these together and you get 11/15.
therefore, d is the correct answer | True_Correct | null |
24,850 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | my calculations add up to it | True_Neither | null |
24,851 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | need to make them the same denominator | True_Neither | null |
24,852 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | needed paper for this what i didnt have... | True_Neither | null |
24,853 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | once you convert 1/3 into 5/15 and 2/5 into 6/15 you do 5/15+6/15 which is 11/15 | True_Correct | null |
24,854 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | one third = three fifteenths and two fifths = six fifteenths. 6 + 5 = 11. | True_Correct | null |
24,855 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | one third add two fifths = five fifteenths add six fifteenths = 11/15 | True_Correct | null |
24,856 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | one third adjusts to 5/15, and 2/5’s becomes 6/15 so the the total is 11/15. | True_Correct | null |
24,857 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | people might get this wrong because they won't converted the denominators to the common denominator. | True_Neither | null |
24,858 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | people might get this wrong because they won't of converted the denominators into common denominators. they might have just done 1/3 + 2/5 to get 3/8. | True_Neither | null |
24,859 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | put 15 as the common denominator. then multiply the numbers accordingly. | True_Correct | null |
24,860 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | put it in to 15 and then do what you did to the bottom to the top | True_Neither | null |
24,861 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | put it into 15ths then it’s 5+6 at the top so it’s 11 | True_Correct | null |
24,862 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | put them both into 15ths
6/15 and 5/15 added together is 11/15 | True_Correct | null |
24,863 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | putting it on the same denominator | True_Neither | null |
24,864 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | relatively simple fraction conversion of 5 and 3 (15) | True_Neither | null |
24,865 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | round the denominator to the common denominator | True_Neither | null |
24,866 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | see what the bottom 2 numbers go in to which is 15. 5x3=15 5x1=5. 3x5=15 3x2=6. 5+6=11.
11/15 | True_Correct | null |
24,867 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | simflify then join the denominators 5+6/15
5+6
11
11/15 | True_Neither | null |
24,868 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | since the bottom number isn't the same, we can mutiply diagonally and would give us the answer | True_Neither | null |
24,869 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | six fifteens + five fifteens = eleven fifteens | True_Correct | null |
24,870 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | so i found the common multiple of 3 and 5 which is 15. the denominator is 15. after you times the one by 5 and the 2 by 3 which makes the equation 5/15 + 6/15. add them up to get 11/15 | True_Correct | null |
24,871 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | so i had to do 5x3 which would be 15 because we need to get the denominator the same. then i did 3x2 which would be 6 then i add 5/15 and 6/15 together. | True_Correct | null |
24,872 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | so you do 3 times 5 then 3 and 2 then 5 and 1 | True_Neither | null |
24,873 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | so, we need to get a common denominator, so we find the lcm, the lowest common multiple, which in this case happens to be fifteen. then we get the numerators, and the fractions become 6/25 add 5/25, and then add the numerators to get 11/15, which isthe answer. | True_Correct | null |
24,874 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | the answer is 11/15 because 3 and 5 have a denominator of 15 so to get to this we have times 1/3 by five which gets you 5/15 and we times 2/5 by 3 to get to 6/15 and i add them together which gets 11/15. this can't be simplified. | True_Correct | null |
24,875 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | the answer is 11/15 because the common denominater is 15 then if you add the top numbers you get 11 so together its 11/15 | True_Correct | null |
24,876 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | the answer is 11/15. although it may look like we can add 3 and 5 together, this is not how we add fractions with a different denominator. we find the lcd (lowest common denominator). for the values 3 and 5, this value is 15. 3 times 5 is 15, so we multiply 1 by 5, which gives us 5/15. on the other hand, 5 times 3 equals to 15, so we times 2 by 3 to get 6/15. so, 5/15 + 6/15 = 11/15 | True_Correct | null |
24,877 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | the answer is d because 1/3 over 15 is 5/15 and 2/5 over 15 is 6/15 and the two added together equal 11/15. | True_Correct | null |
24,878 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | the answer is d because 1/3+2/5=5/15+6/15=11/15 | True_Correct | null |
24,879 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | the answer is d because after the equation has been converted into the same denominators then the addition should equal d which is 11/15 | True_Correct | null |
24,880 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | the answer is d because first we need to turn thewse fractions into a common denominator - 15 so i multiply the numerator by the same thing i multplied the denominator by - 5 and 3, the numerators then become 5 and 6, i added it together and the answer is 11/15. | True_Correct | null |
24,881 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | the answer is d because firstly you have to find the lowest common multiple they both have which is 15. you then multiply the 1/3 fraction by 5 and 2/5 by 3. that then becomes 5/15 + 6/15 which is 11/15. | True_Correct | null |
24,882 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | the answer is d because if you do 1/3+2/5=you will get 11/15 | True_Neither | null |
24,883 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | the answer is d because to make the numbers equivalent you must times the denominator so it =5-/15 and 6/15 and add them together it = 11/15 | True_Correct | null |
24,884 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | the answer is d because you have to find the lowest denominator which is 15 then do 1 x 5 = 5 then 3 x 2 = 6
then a new question is 6/15 + 6/15 = 11/15 | True_Correct | null |
24,885 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | the answer is d because you need to turn them into the common denominators so that would be 15 . so you need to add 5/15 plus 6/15 to equal 11/15. | True_Correct | null |
24,886 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | the answer is d because, if the denominator has to be the same when adding, the lcm of 3 and 5 is 15. so the new equation will be 5/15 + 6/15 which is 11/15. | True_Correct | null |
24,887 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | the answer is ‘d’ because if you multiply the denominators so they are the same. then do the same to the numerators. add them together and then you get the answer. | True_Correct | null |
24,888 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | the answer would be d as 3 and 5 both fit into 15 then that would be the lowest common denominator then you would add 5+6 which would be 11/15 | True_Correct | null |
24,889 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | the bottom number needs to be 15 and you need to times the bottom and top number by the same number | True_Correct | null |
24,890 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | the comman demomitor is 15 1x5 is 5 and 2x3 = 6 6+5=11 | True_Correct | null |
24,891 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | the common denominator between 3 and 5 is fifteen | True_Neither | null |
24,892 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | the common denominator is 12 and 1 x 5 is 5 and 2 x 3 is 6 and if you add them up you get 11/15 | True_Correct | null |
24,893 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | the common denominator is 15 (5 x 3) and 1 x 5 is 5 (5/15) and 2 x 3 is 6 (6/15) add them together and you get 11/15 | True_Correct | null |
24,894 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | the common denominator is 15 and 1/3 will be 5/15 and 2/5 will be 6/15 which is 11/15. | True_Correct | null |
24,895 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | the common denominator is 15 and 2/5 is 6/15 + 1/3 which is 5/15 then add the numerators | True_Correct | null |
24,896 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | the common denominator is 15 and 3 goes into 15 five times. 1 x 5 is five. five goes into 15 3 times and 2x3 is 6. 5+6 is 11. | True_Correct | null |
24,897 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | the common denominator is 15 and five times one equals five and two times three equals six and add them together and them together which gives you eleven 15ths | True_Correct | null |
24,898 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | the common denominator is 15 and the numerators added together is 11 | True_Correct | null |
24,899 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | the common denominator is 15 and the numerators added together is 9 | True_Neither | null |
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