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 |
|---|---|---|---|---|---|---|
25,000 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | to get a common denominator of 15 you x 2/5 by 3 and the other by 5 to get 5/15 and 6/15 then you just add them up | True_Correct | null |
25,001 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | to get to 15 see how many times it goes into 3 | True_Neither | null |
25,002 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | to make both fractions equal in to do the equation, we must make both of the denominators the lowest common multiple, that being 15 in this case. since we multiplied each of the denominators by the opposing denominator, we must therefore do the same to the numerators. because of this, 1/3 becomes 5/15 and 2/5 becomes 6/15. now we add the numerators together to get 5+6=11. the final answer is now 11/15. | True_Correct | null |
25,003 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | to make the denominator equal, 1/3 was multiplied by 5/5 and 2/5 was multiplied by 3/3. when both fractions were added, it became 11/15. | True_Correct | null |
25,004 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | to make the denominator the same, i found the lowest common multiple which is 15. in order to get to that i did 3x5 and 5x3. because of that, i must times 1 and 2 by the same amount i timed for the denominator, which equals 5/15+6/15= 11/15 | True_Correct | null |
25,005 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | to make the denominators the same i did:
3x5=15
1x5=5 so 1/3 =5/15
5x3=15
2x3=6 so 2/5=6/15
to add them together i added the numerators which is 5+6=11 so 1/3+2/5=11/15 | True_Correct | null |
25,006 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | to make them equal its 5/15+6/15= 11/15 | True_Correct | null |
25,007 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | to start of with you go the change the denominator to 15 the chnge numorator to 6 and 5 then 5+6 is 11 so 11/15 | True_Correct | null |
25,008 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | to times 1/3 by 5 and 2/5 by 3, which gives you 5/15 and 6/15. afterwards you add them both together which gives you 11/15. time not supposed to add the denominator only the numerator. | True_Correct | null |
25,009 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | transfer therm into 15ths and add them then you get 11 15ths | True_Correct | null |
25,010 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | turn 1/3 and 2/5so that they have 15 as the denominator and then add them together | True_Correct | null |
25,011 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | turn 1/3 into 5/15 and turn 2/5 into 6/15 add them together and you will get 11/15 | True_Correct | null |
25,012 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | turn both denominators to fifteen and then add | True_Neither | null |
25,013 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | turn it into 15 1 x 5 =5 2 x 3 =6 | True_Correct | null |
25,014 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | turn it into 15ths and add the 5 and 6 | True_Correct | null |
25,015 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | turn the denominators into 15 and times the top numbers | True_Correct | null |
25,016 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | turn them all into 15ths by doing the same to the top and the bottom then add them up | True_Correct | null |
25,017 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | turn them into 15's and add them together | True_Neither | null |
25,018 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | turn them into 15ths 1/3 would be 5/15 and 2/15 would be 6/15 add them and it would be 11/15 | True_Correct | null |
25,019 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | u find the denominator then times the top numbers by the old denominators and then add them which made 11 | True_Correct | null |
25,020 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | u need to convert so both of the numbers have the same denominator then add em | True_Neither | null |
25,021 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | u times the denomiter by 3 or 5 | True_Neither | null |
25,022 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | we are adding fractions without the same denominator so i converted them. 1/3 to 5/15 then 2/5 to 6/15 now we add the numerators. 11/15 | True_Correct | null |
25,023 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | we can multiply 3 times 5 is 15 and 5 plus 6 is 11. | True_Correct | null |
25,024 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | we can use a lowest common denominater which is 15. 5/15 +6/15= 11/15 | True_Correct | null |
25,025 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | we get this when we make the same base for 3 and 5 to become 15 and then do the adjustments for the rest in order to be able to add them | True_Neither | null |
25,026 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | we have to make the denominators the same i multiplied it by itself until they both reached 15. for 1/3 i did it 5 times so it's now 5/15, and for 2/5 i did it 3 times so it's now 6/5. 5+6=11 so it's 11/15. you can't simplify it so 11/15 is the final answer | True_Correct | null |
25,027 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | we made the denominators both 15 and then added the numerators. | True_Neither | null |
25,028 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | we made the denominators the same (15) and then added the numerators | True_Neither | null |
25,029 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | we make the denominator 15 and we solve | True_Neither | null |
25,030 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | we make the denominator the same then add | True_Neither | null |
25,031 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | we need a common denominator and a good one would be 15 so we multiply 3 by 5 and 5 by 3 | True_Neither | null |
25,032 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | we need to cross multiply each denominator with the other | True_Correct | null |
25,033 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | we need to match the denominator to be the same number so 3x5 is 15 so then we times the nominator by the opposite denominator unit (1x5 - 2x3) which would be 5/15 + 6/15 = 11/15 | True_Correct | null |
25,034 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | what ever you do on the bottom you have to do on the top | True_Neither | null |
25,035 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | what ever you do to the bottom you must do to the top so 1x5=5 2x3=6 5+6=11 | True_Correct | null |
25,036 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | what you do to bottom do to the top | True_Neither | null |
25,037 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | when adding fractions, the denominators must be the same. the lowest common multiple for 3 and 5 is 15. to make top part of the fraction be equal as the bottom, we multiply the top by the other denominator nefore the conversion.
1x5 = 5
2x3 = 6
5+6 = 11
therefore it is 11/15 | True_Correct | null |
25,038 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | when i calculated it i got 11/15 because i changed 1/3 to be 5/13 and 2/5 to 6/15 and added them together to get 11/15 | True_Correct | null |
25,039 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | when i make the denominators the same,it becomes 5/15 + 6/15 which is 11/15 | True_Correct | null |
25,040 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | when the denominators are different you must make them the same in order to do that you must multiply the two denominators together and then you multiply the nominator with the number you used | True_Correct | null |
25,041 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | when we change the denominator into 15 (5x3=15, 3x5=15) it is the lowest common multiple. when 5x3=15, we also times the numerator by 3, which is 6. we do it to the other fraction and they all equal to 11/15 | True_Correct | null |
25,042 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | when you add fractions you need to make sure both fractions have the same denominator. 1/3 is equivalent to 5/15 and 2/5 is equivalent to 6/15. now you can add them together and the answer is 11/15. | True_Correct | null |
25,043 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | when you change 1/3 into 5/15 and 2/5 into 6/15 with a greatest common denominator, all you have to do is add the numerators and get 11/15. | True_Correct | null |
25,044 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | when you convert 1/3 and 2/5 they become 5/15 and 6/15 and if you add the numerators they become 11/15 | True_Correct | null |
25,045 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | when you convert the fractions denominator to 15 and add them together you get the answer. | True_Neither | null |
25,046 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | when you convert the fractions to the commom denominator they become 5/15 and 6/15. add them together and you get 11/15 | True_Correct | null |
25,047 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | when you convert the fractions you have 5/15 and 6/15 which added together = 11/15 | True_Correct | null |
25,048 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | when you convert them to 15ths 6/15 plus 5/15 which is 11/15 | True_Correct | null |
25,049 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | when you get the same denominator you get 15 then multiply the numerator you add and get 11/15 | True_Correct | null |
25,050 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | when you have a question like this, you must make the denominator of both sums added together the same (find the lcm of the denominator), so to do this we multiplay 3 by 5, and 5 by 3, giving us: 5/15 + 6/15 which equals to 11/15 (d). | True_Correct | null |
25,051 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | when you make the denominators the same and add them together you get d | True_Neither | null |
25,052 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | when you multiply the demoniator to get common demonator u can then add the top after multiplying | True_Neither | null |
25,053 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | when you turn the denominator the same and add the numerator it is 5+6 which is 11 | True_Neither | null |
25,054 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | work out the denominator then add | True_Neither | null |
25,055 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | worked it out don't know how to explain | True_Neither | null |
25,056 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | worked out on paper super quick and easy | True_Neither | null |
25,057 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you can change them into 5/15 and 6/15 and when you add them it gets 11/15 and that can't be simplified | True_Correct | null |
25,058 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you can covert both of them to /15 and then add them | True_Correct | null |
25,059 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you can make denominator 15
2 times 3 is 6
1 times 5 is 5
6. + 5
15. 15 =11
15 | True_Correct | null |
25,060 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you can not add different denominaters so you turn them to fifteenths and the 1&2 turn into 6+5=11/15 | True_Correct | null |
25,061 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you can not have 5 over 15 | True_Neither | null |
25,062 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you can't just add 1/3 by 2/5 because the denominator is not the same therefore it's d | True_Neither | null |
25,063 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you cangd the bottam so they r the same andadd them | True_Neither | null |
25,064 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you change the denominator to 15 and then times the numbers which gets to 5/15 add 6/15 which is 11/15 | True_Correct | null |
25,065 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you change the denominator to a common multiple | True_Neither | null |
25,066 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you change the denominators and the numerator. | True_Neither | null |
25,067 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you change the denominators into fifteenths and do 1x5 which is 5 and 2x3 which is 6 then you and 6 to 5 which equals 11 so it will be 11/15 | True_Correct | null |
25,068 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you chose a common denominator and then times the numerator by 3 and 5 | True_Correct | null |
25,069 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you chose your common denominator and then times the numerators by 3 ad 5 then add the fractions together | True_Correct | null |
25,070 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you convert 1/3 and 2/5 into /15 then you do to the top what you did to the bottom so you do 5/3+6/5 to make 11/15 | True_Correct | null |
25,071 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you convert 1/3+2/5 to 5/15+6/15 which is 11/15 | True_Correct | null |
25,072 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you convert into 15 so you will end up with 5/15+6/15= 11/15. | True_Correct | null |
25,073 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you convert the fraction so they have the same denominator and the lowest common multiple is 15 so you now have 5/15 add 6/15 which is 11/15 | True_Correct | null |
25,074 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you convert the fractions so they have the same determiners and the add them. | True_Neither | null |
25,075 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you convert them into 15s so 5/15+6/15=11/15 | True_Correct | null |
25,076 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you convert them into 6/15 and then 5/15 add them together you get 11/15 | True_Correct | null |
25,077 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you convert them the same the you add the numerator a together | True_Neither | null |
25,078 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you convert them to 5/15 and 6/15 add and six you get 11 | True_Correct | null |
25,079 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you convert them to over 15 then add them | True_Neither | null |
25,080 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you convert, multiply and get this. | True_Neither | null |
25,081 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you do not add the denominators | True_Neither | null |
25,082 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you do the same to the top than the bottom so you times them the denomorator | True_Neither | null |
25,083 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you find a common denominator ( 15 ) then times 1 by 5 and 2 by 3 and add the answers together to give you 11/15 | True_Correct | null |
25,084 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you find a common denominator which is 15, and then you change the numerators to get 5/15 +6/15. you add the numerators together and keep the denominator the same. 6 + 5 =11 so the fraction is 11/15 | True_Correct | null |
25,085 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you find a common factor then do the normal method. | True_Neither | null |
25,086 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you find a common multiple and them use it. here the common multiple is 15. in order to get 15 from 3 times is by 5. you must always times both the left and the right. also you must always times the numerator and denominator other wise it doesn't work. | True_Correct | null |
25,087 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you find commen denominator which would be 15 then times 1 by 5 then 2 by 3 then add the fractions together | True_Correct | null |
25,088 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you find the coman dinominater and then add them together but not the bottom or it wouldn't work | True_Neither | null |
25,089 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you find the coman factor of 3 and 5 is 15 and add 5 and6 | True_Correct | null |
25,090 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you find the common an dominator which is 15 then you do 1x5=5 and 3x2=6 and add them together which is 11 | True_Correct | null |
25,091 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you find the common denominator of both fractions so you can add them together | True_Neither | null |
25,092 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you find the common denominator which is 15 and then convert them and add them | True_Correct | null |
25,093 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you find the common denominator which is 15 and you add the numerators together which makes 11/15. | True_Correct | null |
25,094 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you find the common denominator which is 15 then multiply the top by the same number you did with the demonimator, add the fractions which will be the common denominator and the added numberator | True_Correct | null |
25,095 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you find the denominator which is 15 then you do how many times 3 and 5 go into 15 which is 11/15 | True_Correct | null |
25,096 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you find the hcf then do how much you times them by | True_Neither | null |
25,097 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you find the lcm of 3 and 5, which is 15. then you multiply 1 by 5 and 2 by 3. you get 5/15 and 6/15. then you add them together, which equals 11/15. | True_Correct | null |
25,098 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you find the line that's 15 then you times 1 by 5 and 2 by 3 | True_Neither | null |
25,099 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you find the lowest common denominator | True_Neither | null |
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