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 |
|---|---|---|---|---|---|---|
23,800 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i made the denominator 15 and then time's the numerator by the denominator and added them together and got d | True_Correct | null |
23,801 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i made the denominator the same and it was d | True_Neither | null |
23,802 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i made the denominator the same by timing both sides to make 15 by doing that you time the numerator the same which gave me the answer 11 over 15 | True_Correct | null |
23,803 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i made them both into 15ths then i did the adding bit which got me 11/15 | True_Correct | null |
23,804 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i made them both into 15ths:
5/15 + 6/15 | True_Correct | null |
23,805 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i made them into 15 | True_Neither | null |
23,806 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i multiplied 2/5 by 3 to make 6/15 and also multiplied 1/3 by 5 to make 5/15 | True_Correct | null |
23,807 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i multiplied both of the denominators to get them to 15, then did the same to the numerators. i ended up with 5/15 and 6/15, then added them together | True_Correct | null |
23,808 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i think its the answer | True_Neither | null |
23,809 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i timesed the top bay the bottom and got that | True_Neither | null |
23,810 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i went up in both the denominators times tables then done the same to the top and got 11 over 15 | True_Correct | null |
23,811 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i worked it out :) | True_Neither | null |
23,812 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i worked it out in my head | True_Neither | null |
23,813 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because i worked it out on some paper | True_Neither | null |
23,814 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if u times the bottom to get the common denominator and times the top then add them u get the answer | True_Correct | null |
23,815 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if u times the denominator by 3 and 5 to get 15 for both u also need to times the top which is the top | True_Correct | null |
23,816 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you add them that’s the answer | True_Neither | null |
23,817 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you add them them together that s the result | True_Neither | null |
23,818 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you change 3 and 5 to the lowest common its 15 then add the 5 and 6 and it equals 11 over 15 | True_Correct | null |
23,819 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you change the denominator to 15 you have 5/15 and 6/15 then two fractions added together are 11/15. | True_Correct | null |
23,820 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you convert 1/3 into 5/15 and 2/5 into 6/15 then they both have the same denominator so it becomes 5/15 add 6/15 which is 11/15 -you can't simplify because 11 only has two factors | True_Correct | null |
23,821 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you convert both denominators inti 15 the add the numerators together you get 11/15 | True_Correct | null |
23,822 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you convert both of them into 15 then add them it makes 11/15 | True_Correct | null |
23,823 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you convert them both into 25ths it would be 5/15 and 6/15 add them together then it gets 11/15 | True_Correct | null |
23,824 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you convert them into fifteenths then add them together you get eleven fifteenths | True_Correct | null |
23,825 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you convert them to 15 it will be 11 fifteenths | True_Correct | null |
23,826 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you do cross bow you x the denominator by the numerator on both sides add them together and then the denominator x denominator equals the answers denominator | True_Neither | null |
23,827 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you do it then you will get the answer. | True_Neither | null |
23,828 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you find the lcm and add you end up with 11/15 | True_Neither | null |
23,829 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you find the lowest common denominator it’s 15, but you have to do the same to the numerator. the numbers would turn out as 5/15 and 6/15. add them together to get 11/15 | True_Correct | null |
23,830 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you get a common denominator it would be 15 so the calculation would be 5/15+6/15 which is 11/15 | True_Correct | null |
23,831 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you get the common denominator you get 15 then you add 5 and 6 | True_Correct | null |
23,832 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you give them both the same denominater you would use 15. so 1/3 would be 5/15 and 2/5 would be 6/15 and 5/15+3/15=11/15 | True_Correct | null |
23,833 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you give them the same denominator of 15 you just have to add the numerator | True_Neither | null |
23,834 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you make the denomenator the lowest common multiple, in this case is 15, we can easily find the numerators | True_Neither | null |
23,835 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you make the denominator 15 yo end up with a numerator of 5 and 6 which equals 11 | True_Correct | null |
23,836 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you make the denominators common into 15 it is 11/15 | True_Neither | null |
23,837 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you make them the same denominator it is 5/15 + 6/15 which is 11/15. | True_Correct | null |
23,838 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you make them the same denominator then do the calculation, that will be the answer. | True_Neither | null |
23,839 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you put both of the denominators to 15, it will be: 5/15 + 6/15 = 11/15 | True_Correct | null |
23,840 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you simplify 1/3 to 5/15 and simplify 2/5 to 6/15 and add them together you will get 11/15 | True_Correct | null |
23,841 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you simplify both of the doniminators to 15 then you have to times the top number as well then once you you add them together and get number d as your answer. | True_Correct | null |
23,842 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you times 1/3 by 5 and 2/5 by 3 to get a common denominator of 15, the numerators are 5 and 6, which add to 11, so the end result would be 11/15 | True_Correct | null |
23,843 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you times 1/3 by 5 it gives you 5/15 and if you times 2/5 by 3 it equals 6/15 and then they equal 11/15 | True_Correct | null |
23,844 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you times 1/3x 5 you will get 5/15and then you times2/5 x 3 you get 6/15 and the hen add them together | True_Correct | null |
23,845 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you times 3 by 5 you get 15 you then do how many times does three go into 15. then times it by one. you do the same with the 5 but times it by 2 then add them together. | True_Correct | null |
23,846 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you times the bottom u times the top | True_Neither | null |
23,847 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you times the denominator together and times 1 to 5 and 3 to 2 and then i added them togeather | True_Neither | null |
23,848 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you want to get a result you find the smallest common multipler of 3 and 5 hence times each of the numbers by 5 or 3 respectivetly to achieve the base of 15 which can be used to add the two together | True_Correct | null |
23,849 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because if you work out that the have different denominators the you need to find the lowest common multiple and then you add them together and you get that | True_Neither | null |
23,850 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because is you convert the fractions both into 15ths, then the sum is 5/15+6/15, which equals 11/15. | True_Correct | null |
23,851 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because it has to have denominator of 15 because 3 times 5 is 15, and then i just worked it out by there | True_Neither | null |
23,852 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because it is 5+6 for denominators | True_Neither | null |
23,853 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because it needs to be a 15 and 5 +6=11 | True_Neither | null |
23,854 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because l found a common denominator and then because whatever you do to the bottom you do to the top and then got my answer. | True_Neither | null |
23,855 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because lowest denominator is 15, 5 fifteenths + 6 fifteenths=11 fifteenths | True_Correct | null |
23,856 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because my ma says so :d | True_Neither | null |
23,857 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because once worked out is 11/30 | True_Misconception | Incorrect_equivalent_fraction_addition |
23,858 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because teacher showed me on the board | True_Neither | null |
23,859 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because that is what it converts into | True_Neither | null |
23,860 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because that is what it equals | True_Neither | null |
23,861 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the 5 goes into 15 3x and the 3 goes in 5x | True_Neither | null |
23,862 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the both numerators add up to 11 so the numerator is 11 | True_Neither | null |
23,863 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the bottom would be 15 then if you add the tops together you get 11 | True_Neither | null |
23,864 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the calculation is equal to 5/15 + 6/15 = 11/15 | True_Correct | null |
23,865 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the common denominater is 13 and then you add 5 and 6 which is 11 so 11/15. | True_Correct | null |
23,866 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the common denominater is 15 and 3times 2 is 6 and 1times 5 is 5 | True_Correct | null |
23,867 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the common denominator is 15 and then if you add the numirators you get 11 | True_Correct | null |
23,868 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the common denominator is 15 and you times it to the numerator | True_Neither | null |
23,869 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the common denominator is 15 so change the numerators into the equivalent fraction | True_Correct | null |
23,870 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the common denominator is 15 so it is 5/15 add 6/15. | True_Correct | null |
23,871 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the common denominator is 15 so it will be 5 eights add 6 fifthteenths which is 11 fifthteens | True_Correct | null |
23,872 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the common denominator is 15 so u times the first numerator by 5 then the second numerator by 3 so 5/15 add 6/15 is 11/15 | True_Correct | null |
23,873 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the common denominator is 15 so you change them both to 15ths then add the numerators which are 6 and 5 | True_Correct | null |
23,874 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the common denominator is 15, 1/3=5/15 and 2/5=6/15 added together=11/15 | True_Correct | null |
23,875 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the common denominator is 15. | True_Neither | null |
23,876 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the common denominator is 15. 1/3 is 5/15 and 2/5 is 6/15 added together is 11/15 | True_Correct | null |
23,877 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the common denominator would be 15 so uou have to make the numerator times how many you timesed the denominaqtor by to get 15. so 1 times 5 is 5 and 2 times 3 is 6 so add the numerators to get 11/15 | True_Correct | null |
23,878 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the common multiple of 3 and 5 is 15 and 1/3 becomes 5/15 and 2/5 becomes 6/15. 5/15 + 6/15 = 11/15 | True_Correct | null |
23,879 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the denominated is 15 as the denominator has the same number in both times tables and the numerator is 11 because if u add them it makes 11 | True_Correct | null |
23,880 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the denominator would be 15 and the numirator would be 11 | True_Neither | null |
23,881 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the denominators both go into 15 so it can't be a or c and when you do the workings out it's that answer | True_Neither | null |
23,882 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the denominators have to be the same | True_Neither | null |
23,883 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the dinominater was 15 so i times 1 and 5 and 2 and 3 and i had 5/15 and 6/15 then i added them together and my awnser was 11/15 which is d | True_Correct | null |
23,884 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the factor of 3 and 5 is 15 then whatever you do to the bottom you do to the top resulting in 5/15 + 6/15= 11/15 | True_Correct | null |
23,885 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the first multiple is 15 so times the bottoms until you get 15 and the add all the numbers together | True_Neither | null |
23,886 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the lcd is 15 therefore 5+6 =11 | True_Correct | null |
23,887 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the lcd of 3 and 15 is 15 so you do 1*5=5 so then you do 5/15+6/15= 11/15 | True_Correct | null |
23,888 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the lcd of 3 and 5 is 15, and using the smile and kiss method, the equation = 5/15+6/15 = 11/15. | True_Correct | null |
23,889 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the lcm is 15 so i jabe to times tje top nimbers by the ammount you times to get to 15 | True_Neither | null |
23,890 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the lcm of 3 and 5 is 15, and when 3 is times by 5, the top number also has to be times by 5. | True_Correct | null |
23,891 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the lcm of 5 & 3=15 so it's 11/15 | True_Correct | null |
23,892 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the lcm was 15 and i had to add 6 1 5 and 5 15 and 5+6= 11 | True_Neither | null |
23,893 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the lowest comming multiple of 3 and 5 is 15 so you do 1x5=5 and 2x3=6 then add them together | True_Correct | null |
23,894 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the lowest common denominator is 15 so what ever i do to the bottom i must do to the top, so 1 x 5 = 5 and 2 x 3 = 6 them added = 11/15 | True_Correct | null |
23,895 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the lowest common denominator of 3 and 5 is 15 | True_Neither | null |
23,896 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the lowest common denominator that is in both times tables is 15 so then you would times the numerator by the same number you used to get to 15 | True_Correct | null |
23,897 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the lowest common multiple (lcm) between 5 and 3 is and then you times the numerator by what you times the denominator by to get 15 and then you add the 2 fractions together. | True_Correct | null |
23,898 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the lowest multiple of 3 and 5 is 15 so you make the denominators the same and change the numerators to get 5/15 and 6/15 add them together to get 11/15 | True_Correct | null |
23,899 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | because the number the both go into is 13 | True_Neither | null |
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