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 |
|---|---|---|---|---|---|---|
23,900 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the numerator can't be 3 | True_Neither | null |
23,901 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the only way you can add fractions of different denominators, is to make the denominators the same. you put 1/3 and 2/5 over 15. 1/3 goes to 5/15 and 6/15 so the question now is 5/15 + 6/15 = 11/15. | True_Correct | null |
23,902 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the smallest number 3 and 5 get into is 15 and then you have to times the numerators | True_Neither | null |
23,903 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because thecommon factor of 3 and 5 is 15 so you do 1x5=5 nd 2x3=6 so 5+6=11 so it has to be d | True_Correct | null |
23,904 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because there lcm is 15 so i made them 5/15 and 6/15 and then i just added the numerators together. | True_Correct | null |
23,905 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because they are both a factor of 15 and times them by the same number | True_Neither | null |
23,906 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because they both go into 15 and | True_Neither | null |
23,907 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because this is the answer to the question | True_Neither | null |
23,908 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because times 3 and 5 go both into 15 3 goes into 15 5 times so you time the top number by that you do that to the 2/5 to | True_Correct | null |
23,909 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because timse 3 bye 5 is 15 then 5 by 3 is 15 then add them up | True_Neither | null |
23,910 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because to get a common denominator you times 3 and five by each other then times the top once by the same | True_Neither | null |
23,911 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because we change the botom number cause we cant do anything without changing it 5 x 3=15 and then 1x5=5 then 2x3=6 and the the anwser will be | True_Neither | null |
23,912 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because we first have to find a common denominator which is 15 and then when you multiply the top as well as the bottom. | True_Neither | null |
23,913 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because we need to make the denominator the same then add the numerator | True_Neither | null |
23,914 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because whatever you do to bottom you do to top | True_Correct | null |
23,915 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because when u add them together it = that | True_Neither | null |
23,916 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because when you add 1 third and 2/5 that is the answer | True_Neither | null |
23,917 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because when you add them together it answers that | True_Neither | null |
23,918 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because when you add them together it equals 11 15ths | True_Neither | null |
23,919 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because when you add them together that's what you get | True_Neither | null |
23,920 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because when you add them you get 11/15 | True_Neither | null |
23,921 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because when you convert to get thye same denomerator you get ?/15 then you add the 6/15 to the 5/15 now and you get 11/15 | True_Correct | null |
23,922 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because when you make the denominator ps the same and times on top you get 11/15 | True_Correct | null |
23,923 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because when you make the denominators the same it comes out as 6/15 + 5/15 which is 11/15 | True_Correct | null |
23,924 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because when you make the mhave the same denominator which is 15 then 5/15 plus 6/15 is 11/15 | True_Correct | null |
23,925 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because when you make them have the same denominator you just do 5 + 6 = 11. | True_Correct | null |
23,926 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because when you turn the denominator to 15 you get5 and 6 as the top numbers add them together and you get 11/15😀 | True_Correct | null |
23,927 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because with adding you have to find the common denominator and whatever you do to the denominator has to be done to the numerator as well. | True_Neither | null |
23,928 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you add 5 to 6 to get 11 then out it over 30 | True_Misconception | Incorrect_equivalent_fraction_addition |
23,929 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you always convert the denominators into the same number then add the numertors | True_Neither | null |
23,930 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you can change the denominator to 15 then add them all together to get 11 over 15 | True_Neither | null |
23,931 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you cant simplfy it it | True_Neither | null |
23,932 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you change 1/3 to 5/15 and then with the 2/5 you change that to 6/15 then add them together to get 11/15 | True_Correct | null |
23,933 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you change both bottom numbers to 15. | True_Neither | null |
23,934 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you change the denominator to 15 and times the top to get 15 | True_Neither | null |
23,935 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you change the denominator to be the same | True_Neither | null |
23,936 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you change the denominator to the same | True_Neither | null |
23,937 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you change the numerator and the denominator to make them equal, add together to get 11/15 | True_Correct | null |
23,938 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you change them both to fifteenths and add them together | True_Correct | null |
23,939 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you change them in to 15ths and then it would be 6/15 plus 5/15 witch makes 11/15 | True_Correct | null |
23,940 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you change them so 5+6 is 11 and keep the denominator. | True_Neither | null |
23,941 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you convert it to 15ths so it would be 5/15 add 6/15 | True_Correct | null |
23,942 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you convert them to 15ths and then add it | True_Neither | null |
23,943 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you convert them to 15ths then add the 6 to the 5 and get 11 | True_Correct | null |
23,944 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you divide by the bottom and times by the top | True_Neither | null |
23,945 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you do 1/3 x 5 and then it would be 5/15 then i done 2/5 x 3 | True_Correct | null |
23,946 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you do the noires common multiple | True_Neither | null |
23,947 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you do the to the top as the bottom | True_Neither | null |
23,948 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you find a common denominator witch would be fifth teen and 5 times one witch is 5 so now 2 times 3 is 6 add six and five it makes 11 and then you've got fifth teen witch is the denominator | True_Correct | null |
23,949 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you find the comen multiple | True_Neither | null |
23,950 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you find the common ddenimater then that is 15 then 3x2=6 5x1=5 then 6+5= 11/15 | True_Correct | null |
23,951 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you find the common deminator then add them | True_Neither | null |
23,952 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you find the common denominator | True_Neither | null |
23,953 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you find the common denominator which is 15 and add the top which is 11 | True_Correct | null |
23,954 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you find the lcm and that gets you 5/15 +6/15 then you add them and then it gets you 11/15 | True_Correct | null |
23,955 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you find the lowest common multiple, turn the fractions into equivalent fractions and add the numerators together. | True_Neither | null |
23,956 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you find what the common denominator which is15 and then you times the top by 5 and do the same for the other side. | True_Neither | null |
23,957 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you get the same denominator and then you add the numerators to get it | True_Neither | null |
23,958 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you have to add the fractions | True_Neither | null |
23,959 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you have to change the denominator so you can add them you get 11/15 | True_Neither | null |
23,960 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you have to change the denominator to 15 and 5+6 is 11 so there for it will be 11/15 | True_Correct | null |
23,961 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you have to convert 1/3 and 2/5 into 15ths then you would end up with 6/15 and 5/15 and them added together is 11/15. | True_Correct | null |
23,962 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you have to convert 3 x 5 = 15 then you do 3 x 2 = 6 then 5 x 1 = 5 so the answer will be 11/15 altogether | True_Correct | null |
23,963 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you have to convert the denominator into the same number and whatever you multiply to get that you do the same with the numerator | True_Correct | null |
23,964 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you have to convert the fractions into their common denominator and then add them together, 5/15+6/15= 11/15 | True_Correct | null |
23,965 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you have to convert them so they can be added. so it then turns into 5/15 and 6/15 and then you just add then to get your answer. | True_Correct | null |
23,966 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you have to convert them so they have the same denominator and then add them | True_Neither | null |
23,967 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you have to do the lcm times the denominaters and the numerater then add them together | True_Correct | null |
23,968 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you have to find an equal denominator and then do what you did to the denominator to the nominator | True_Neither | null |
23,969 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you have to find the comman multiple between 3 and 5 which is 15 so you have to x3 or x 5 and if you do that you will end up with 5 and 6 which then add up to 11 | True_Correct | null |
23,970 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you have to find the common denominator which is 15 and work out the rest from there | True_Neither | null |
23,971 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you have to find the common denominator which is 15. you have to do 5x3=15 and 3x5=15 so then you do 1x5=5 then 2x3=6 | True_Correct | null |
23,972 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you have to find the lowest comman multipul and the you have to add it | True_Neither | null |
23,973 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you have to get a common denominator which is 15 so you have to times 1 by 5 and 2 by 3 then you add them together | True_Correct | null |
23,974 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you have to get an equal denominator and then you times the numerator by whatever number equals the denominator | True_Neither | null |
23,975 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you have to make the denominaters the same | True_Neither | null |
23,976 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you have to make the denominator number the same so it’s a multiple of both numbers | True_Neither | null |
23,977 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you have to make the denominator the same by timesing them by each other but what ever you do to the numarator you do to the dinometer and vise versa | True_Neither | null |
23,978 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you have to make the denominator the same. | True_Neither | null |
23,979 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you have to make the denominators the same by multiplying by 3 so the numerator gets multiplied by 3 and then you can add them together | True_Neither | null |
23,980 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you have to make the denominators the same then add them | True_Neither | null |
23,981 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you have to make them a common denomenator which would be 15 and times the top by what you timesed the bottom by | True_Correct | null |
23,982 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you have to multiply everything then add the numerators | True_Neither | null |
23,983 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you have to put them over the same denominator and then how many times 3 goes in then to es it by the numerator and do the same with the other one | True_Neither | null |
23,984 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you have to times both answers | True_Neither | null |
23,985 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you have to times the bottom numbers together which equals 11 and the top numbers equal 6+5 and when you plus them together it equals 11 so that is why it is 11 over 15. | True_Correct | null |
23,986 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you have to times the numerator and donominator | True_Neither | null |
23,987 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you make 1/3 into 5/15 and you make 2/5 into 6/15 and add them together. | True_Correct | null |
23,988 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you make it 5/15 and 6/15 then added them to get 11/15 | True_Correct | null |
23,989 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you make it in to 15 and then add | True_Neither | null |
23,990 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you make it the same denominator | True_Neither | null |
23,991 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you make the bottom 15 and the to 5 and 6 and then you add them witch is 11 | True_Correct | null |
23,992 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you make the denominators the same by xing the 5 by3 and the 3by5 you do this to the top and you get 11/15 | True_Correct | null |
23,993 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you make the denominators the same then add the numerators aswell . | True_Neither | null |
23,994 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you make the denominators the same, add them and then do the same to the top. | True_Neither | null |
23,995 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you must get a common denominator to manipulate fractions | True_Neither | null |
23,996 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you need the common denominator which is 15. then you x the numerators by the number, in this case 5. i got the answer 11/15 | True_Neither | null |
23,997 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you need to convert 1/3=5/15 and 2/5=6/15 then you do 5/15+6/15=11/15 | True_Correct | null |
23,998 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you need to convert both of them into 15th and add them together | True_Correct | null |
23,999 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because you need to convert it in to 1/15 and 2/15 then times them then add them to get 11/15 | True_Neither | null |
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