row_id
int64
0
36.7k
QuestionId
int64
31.8k
109k
QuestionText
stringclasses
15 values
MC_Answer
stringclasses
49 values
StudentExplanation
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1
586
Category
stringclasses
6 values
Misconception
stringclasses
35 values
24,900
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the common denominator is 15 and then you add the numerators
True_Neither
null
24,901
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the common denominator is 15 multiply the first fraction by 5 to get 5/15 and the second fraction by three get 6/15 then you add the top numbers together to make 11/15
True_Correct
null
24,902
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the common denominator is 15 so i would do 5/15 + 6/15 which = 11/15 making the answer d
True_Correct
null
24,903
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the common denominator is 15 so it’s 6/15+11/15
True_Correct
null
24,904
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the common denominator is 15 so you can cross out answers with a different denominator then you multiply what you multiplied to get the denominator to the numerator and you add. you get 11/15
True_Correct
null
24,905
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the common denominator is 15 so you times the numerator by the same number multiplied by the denominator and i got 5/15 and 6/15. when you add them you get 11/15.
True_Correct
null
24,906
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the common denominator is 15, and therefore 1/3 becomes 5/15 and 2/5 becomes 6/15
True_Correct
null
24,907
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the common denominator is 15. 1 x 5 is 5. 2 x 3 is 6. 5 + 6 is 11.
True_Correct
null
24,908
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the common denominator is 15. 5 plus 6 equals 11/15.
True_Correct
null
24,909
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the common denominator is 15. and whatever you times the denominator by you have to do the same with the numerator.
True_Correct
null
24,910
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the common denominator is 15ths and 5x1=5 and 3x2=6
True_Correct
null
24,911
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the common denominator is 15ths so 5/15 and 6/15 to make 11/15
True_Correct
null
24,912
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the common denominator of 3 and 5 is 15 so i used that as my denominator and did the same to the top which got 11/15
True_Correct
null
24,913
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the common denominator of the 2 fractions is 15, and numerators would be 5/15 and 6/15, which make 11/15.
True_Correct
null
24,914
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the common denominator was 15. 1/3 is equivalent to 5/15 1x5= 5 3x5=15 = 5/15 2/5 is equivalent to 6/15 2x3=6 5x3=15 =6/15 if you add 5/15 and 6/15 together you get 11/15
True_Correct
null
24,915
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the common denominator would be 15 so the fractions would become 5/15 + 6/15 = 11/15 and it cant be simplified any further.
True_Correct
null
24,916
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the common denomiter is 15 so it becomes 5/15 and 6/15. then you add the numerators so it becomes 11/15.
True_Correct
null
24,917
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the common factor is 15 so u times the numbers to give 15 then u ad them
True_Neither
null
24,918
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the common factor that both of these have is 15, so i multiplied by 5 for the first fraction and 3 for the second fraction and ended up with eleven in the numerators because 5x1= 5 and 3x2=6 and 5+6=11
True_Correct
null
24,919
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the correct answer is d because you have to convert the sum into 5/15+6/15 = 11/15.
True_Correct
null
24,920
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the de and ne are 15 .1/3 times
True_Neither
null
24,921
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the denominator can be put as 15, 5/15+ 6/15=11/15
True_Correct
null
24,922
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the denominator is 15 so it must be something over 15
True_Neither
null
24,923
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the denominator is 15 which makes the top 11
True_Neither
null
24,924
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the denominator must be equal to add the closest one to both is 15 so 1/3 you must times by 5 which is 5/15 and 2/5 you must times by 3 which is 6/15 5/15+6/15=11/15
True_Correct
null
24,925
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the denominator needs a common multiple and that is 15. 3x5 = 15 so you need to multiply 1 (the numerator) by 5. this makes 5/15. 5x3 = 15 so you need to multiply 2 by 3. this make 6/15. 5/15+6/15=11/15
True_Correct
null
24,926
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the denominator will change to 15, so the fractions is now 5/15 and 6/15. then you add them together to get 11/15
True_Correct
null
24,927
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the denominators are not the same so lowers factor is 15 so you should times the denominator and numerator then you add it.
True_Correct
null
24,928
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the denominators have to be the same 1/3 = 5/15 2/5 = 6/15 5/15 + 6/15 = 11/15
True_Correct
null
24,929
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the denominators have to be the same, so here it would be 15. the numerators have to be converted as well, by being multiplied by the same number. therefore, 5/15 + 6/15 = 11/15.
True_Correct
null
24,930
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the first common multiplier is 15,
True_Neither
null
24,931
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the first same multiple is 15. 1x5 and 2x6 and the add them together =11/15
True_Correct
null
24,932
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the first thing we had to do is make the bottom the same (15)
True_Neither
null
24,933
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the highest common multiple of 3 and 5 is 15 so i need to make both fraction’s denominator 15. 1/3 = 5/15 and 2/5 = 6/15. 5+6=11. 1/3 + 2/5 = 11/15
True_Correct
null
24,934
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the lcd is 15 1/3 is equivalent to 5/15 2/5 is equivalent to 6/15 5/15+6/15 is 11/15
True_Correct
null
24,935
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the lcm of 3 and 5 is 15 3*5=15 5*3=15 and whatever you do to the denominator you do to the numerator
True_Neither
null
24,936
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the lcm of 3 and 5 is 15 the fractions will become 5/15 + 6/15 after multiplying the first and second fraction by 5 and 3 respectively, and when added, it becomes 11/15
True_Correct
null
24,937
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the lcm of 3 and 5 is 15 and whatever you do to the top you have to do to the bottom so the final equation is 5/15 + 6/15 = 11/15
True_Correct
null
24,938
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the lcm of 3 and 5 is 15. 1x5=5 and 2x3 = 6. therefore the fractions added together would be 11 over 15.
True_Correct
null
24,939
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the lcm of 3, 5 is 15. multiply 1 by 5 and 2 by 3 = 5/15 + 6/15. 11/15
True_Correct
null
24,940
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the lcm of 5 and 3 is 15 1/3 = 5/15 2/5 = 6/15 5/15 + 6/15 = 11/15
True_Correct
null
24,941
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the lcm of 5 and 3 is 15 so the denominator will be 15. since i'm multiplying the denominators to get 15 i have to multiply the numerators by the same number. i then add them together to get 11 over 15.
True_Correct
null
24,942
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the lmc of 3 and 5 is 15 and it can't be 3/15 because that is smaller than the fractions that were to begin with.
True_Neither
null
24,943
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the lowest common denominator is 15 (5x3) i then multiply numerator 1 by 5 and numerator 2 by 3. 5 + 6 = 11 so the answer is 11/15
True_Correct
null
24,944
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the lowest common denominator is 15 and 2/5 would be 6/15 and 1/3 would be 5/15 which is 11/15
True_Correct
null
24,945
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the lowest common denominator is 15 so 5 + 6 = 11 so 11/15
True_Correct
null
24,946
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the lowest common denominator is 15, so a multiplied each side so it was in fifteenths 1/3 + 2/5 = 5/15 + 6/15 = 11/15
True_Correct
null
24,947
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the lowest common denominator is 15. 1x5=5 2x3=6 5+6=11 so the answer is 11/15
True_Correct
null
24,948
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the lowest common multiple is 15 - between 3 and 5 which will be the denominator. then to get from 5 to 15 is 3 so the numerator which is 2, will multiply by 3 to get the new numerator. then, you apply that to both fractions and add them together.
True_Correct
null
24,949
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the lowest common multiple is 15 and then you times 1 by 5 and 2 by 3 this gives you 5/15 plus 6/15 and this makes your final answer 11/15.
True_Correct
null
24,950
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the lowest common multiple is 15. 5 times 3 is 15.two times 3 is 6/5.13 changes into 5/15 5/15 plus 6/15 is 11/15
True_Correct
null
24,951
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the lowest common multiple of 3 and 5 is 15 so that's the denominator.whatever you do to the denominator you do to the numerator so the sum is 5/15+6/15=11/15.
True_Correct
null
24,952
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the lowest common multiple of 3 and 5 is 15. therefore, 1/3 +2/5= 5/15 +6/15=11/15
True_Correct
null
24,953
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the lowest common multiple of 3 and 5 is 15. 1/3 = 5/15 and 2/5 = 6/15. 6/15 + 5/15 = 11/15
True_Correct
null
24,954
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the lowest common multiple of 3 and 5 is fifteen so make the denominators this so they match and can be added together. then whatever you do to the denominator do it to the numerator then add them together.
True_Correct
null
24,955
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the lowest possible denominator is 15 so you have to times 5 x 1 and 3 x 2 to get 11/15
True_Correct
null
24,956
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the nearest common denominator is 15, so times 1 by 5 (5) and 2 by 3(6) so 5+6= 11 therefore, the answer is 11/15
True_Correct
null
24,957
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the numerator is 11 because 5+6 the denominator is 15 because 3x5 therefore, the answer is 11/15
True_Correct
null
24,958
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the other answer with 15 as the denominator was too low for this sum
True_Neither
null
24,959
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the question can be factorised to 5/15 add 6/15 which is 11/15
True_Neither
null
24,960
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
the smallest number that both bottom numbers go into are 15 and if you times the top numbers like you did on the top numbers and it would be 11/15
True_Correct
null
24,961
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
their lowest common denominator is 15 so they become 5/15 and 6/15 added is 11/15
True_Correct
null
24,962
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
these fractions are also equivalent to 5/15 + 6/15 which equals 11/15
True_Correct
null
24,963
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
they add together and make 11/15
True_Neither
null
24,964
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
they both go into fifteen and the other option does not increase the numerator
True_Neither
null
24,965
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
this fraction was a improper fraction so i had to times the numirator and dominator to get the ancwer
True_Neither
null
24,966
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
this is a simple fraction addition. you have to convert the denominators to the biggest common multiple which is fifteen. you do the same as you did to the denominator as you do the numerator and you get an answer of 11/15.
True_Correct
null
24,967
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
this is because 1/3 equals 5/15 and 2/5 equals 6/15 and 5 + 6 = 11
True_Correct
null
24,968
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
this is because i converted the fractions into the same denominator which then let me add the fractions together for the answer d
True_Neither
null
24,969
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
this is because i made 15 my common denominator and once i did all i had to do was 5/15+6/15 and 6+5 is 11.
True_Correct
null
24,970
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
this is because if you find the lowest common denominator 15 you do whatever to the bottom
True_Neither
null
24,971
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
this is because th common denominator is 15 so that means, 3 times by 5 is 15 so 1x5 is 5 which is 5 and you do the same with the other fraction than you add them up which is 11/15.
True_Correct
null
24,972
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
this is because the common denominator is 15 and they both add up to 11
True_Neither
null
24,973
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
this is because the lcm of 3 and 5 is 15 and if you expand the numerator, it is equals to 11
True_Neither
null
24,974
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
this is because the lcm of the denominators is 15 so i see how many time the denominators go in and then i multiply it by the numerators to get the answer.
True_Correct
null
24,975
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
this is because you have to have the denominators the same which will be 15 so you have to do 5/11+6/11
True_Correct
null
24,976
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
this is due to 3 x 5 being 15 and 1 x 5 being 5 as well as 3 x 2 being 6 which when all added together results in 11/15
True_Correct
null
24,977
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
this is the answer because the lowest common denominator is 15 and whatever you do to the denominator, you have to times the numerator by.
True_Correct
null
24,978
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
this is the answer because you change both denominators to 15, then change the numerators the same way you did the denominator.
True_Correct
null
24,979
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
this is the answer because you find the common denominator,then work out how many times it goes into it and times the top fraction the same and then add together.
True_Correct
null
24,980
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
this is the answer cause u have to times one third by five and two fifths by three then add them.
True_Correct
null
24,981
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
this is the only simplest form you can go.
True_Neither
null
24,982
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
this is too hard to explain
True_Neither
null
24,983
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
this s the answer because the common denominator of them both is 15 and for 1/3 becomes 5/15 and 2/5 becomes 6/15 we know that the denominaters stay the same so the answer is 11/15
True_Correct
null
24,984
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
times 1/3 by 5 and 2/5 by 3 then add which equals d
True_Correct
null
24,985
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
times both by 1/3 by 5 and 2/5 by 3. then 5/15 + 6/15 = 11/ 15
True_Correct
null
24,986
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
times each side by the opposite denominator then add
True_Neither
null
24,987
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
times each whole fraction by the denominator of the opposite fraction (for example 1/3 × 5 and 2/5 × 3) this is to create a common denominator, then over the new denominator add the two numerators for the final fraction. 11/15.
True_Correct
null
24,988
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
times it until it is 15 for both
True_Neither
null
24,989
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
times the bottom two then cross times the rest
True_Neither
null
24,990
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
times the denomonator together and times the numerators by opposite denominator, then add and there's your answer
True_Correct
null
24,991
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
times the top and the bottom
True_Neither
null
24,992
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
times the two by 3 and 5
True_Neither
null
24,993
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
times them by the other number then add them together to make 11/15
True_Neither
null
24,994
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
times then add them to get answer
True_Neither
null
24,995
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
timsed 1 over 3 by 5, and 2 over 5 by 3 which gave me 5 over 15 + 6 over 15. i then added them together
True_Correct
null
24,996
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
to add the 2 fractions together they have to have the same denominator. so we would change 1/3 into 5/15 and the 2/5 into 6/15. 6 plus 5 is 1 and because we don't add the denominators together the answer would be 11/15.
True_Correct
null
24,997
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
to convert both fractions to the same denominator you times 5×3=15
True_Neither
null
24,998
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
to find out the answer you change the denominator of each number to be the same. then you plus the numerator of each equivalent number to get 11/15
True_Correct
null
24,999
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
to find the answer, you need to convert the denominator to the lowest common multiple, which is fifteen. to convert 1/3 to a fifteenth, you multiply the denominator and the numerator by five, and the same for 2/5 except by three. adding both these numbers will make 11/15
True_Correct
null