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 |
|---|---|---|---|---|---|---|
25,800 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | make the denominateors the same and add the numorators | False_Misconception | Denominator-only_change |
25,801 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | multiply the bottom and add the top | False_Misconception | Denominator-only_change |
25,802 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | now that the denominators are not the same you have to multiply them which would be 15 and then you add the numerators which is 3 so you get 3/15 | False_Misconception | Denominator-only_change |
25,803 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | since 3 x 1=3 then 3 + 5 both go in 15 snd 3 = 3 so it's 3/15. | False_Misconception | Denominator-only_change |
25,804 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | since 3 x 5 = 15 so 15 is the denominator and 1 + 2 = 3 so the answer would be 3/15. | False_Misconception | Denominator-only_change |
25,805 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | since the smallest common denominator of 3 and 5 is 15, and 1+2=3, then the least common multiple of those two numbers is 15. | False_Misconception | Denominator-only_change |
25,806 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | so the denominator would have to be the same as the multiple, so in this case, 3 and 5, the common multiple was 15, so the answer would be 3/15. | False_Misconception | Denominator-only_change |
25,807 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | so you have to get the denominators the same so 15 so x the first by 5 and the second by 3 so 6 and 6+5=11. | False_Correct | null |
25,808 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | so you just add the numerators which is 3 and 5, and then you add 3 because the number that goess into 3 is 5, then 5. | False_Neither | null |
25,809 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | so you need to find the lcm whichh is 15 and then add one and two which equals three. | False_Misconception | Denominator-only_change |
25,810 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | so you need to get the same denomernatier and u times them together and then add 1+2 then thats the numeratour | False_Misconception | Denominator-only_change |
25,811 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | so you would times 3 and 5 times each other which is 15 and 15 would be your denominater. | False_Neither | null |
25,812 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | spit will be the denominator and then u just add the top numbers | False_Neither | null |
25,813 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | the bottom would make 15 and then you add 1 and 2 | False_Misconception | Denominator-only_change |
25,814 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | the common denominator is 15 so 1/15 plus 2/15 is going to be 3/15 | False_Misconception | Denominator-only_change |
25,815 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | the common denominator of 3 and 5 is 15 and 2 and 1 is 3 so its 3 over 15 | False_Misconception | Denominator-only_change |
25,816 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | the common denomitor is 15 and 2+1 is 3 | False_Misconception | Denominator-only_change |
25,817 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | the common factor of 3 and 5 is 15 then add the top | False_Misconception | Denominator-only_change |
25,818 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | the denominator is 15 because 3 and 5s common multipul
is 15 | False_Neither | null |
25,819 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | the denominators have to be the same so you can add the numorators. i did 3x5 which is 15. now you can add the numorators so it is 3/15 | False_Misconception | Denominator-only_change |
25,820 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | the denominators have to be the same so youu can add the numorators. i did 3x5 which is 15. now you have 3/15. | False_Misconception | Denominator-only_change |
25,821 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | the dominaner is not in the times tables | False_Neither | null |
25,822 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | the dominotars both go into 15 and 1plus2 equals 3 | False_Misconception | Denominator-only_change |
25,823 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | the first common denominator is 15 and 1/3 x 5 =5/15 and 2/5 x 3 = 6/15 3x1/15 = 3/15 | False_Misconception | Denominator-only_change |
25,824 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | the lcm of 3&5 is 15.
then you just add the numerators together to get 3.
therefore it's 3/5 | False_Misconception | Denominator-only_change |
25,825 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | the lowest common denominator for 3 & 5 is 15. 1/15+2/15=3/15 | False_Misconception | Denominator-only_change |
25,826 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | the lowest common denominator is 15 1+2 =3 | False_Misconception | Denominator-only_change |
25,827 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | the lowest common multiple is 15 1+2 is 3 3/15 is your answer | False_Misconception | Denominator-only_change |
25,828 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | the lowest common multiple of 3 and 5 is 15 so the denominator is 15. 1+2=3 so the answer is three fifteenths | False_Misconception | Denominator-only_change |
25,829 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | the lowest common multiple of 3 and 5 is 15, so the snswer is 3/15. | False_Misconception | Denominator-only_change |
25,830 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | the lowest commonn denomanator is 15 and 2+1=3. | False_Misconception | Denominator-only_change |
25,831 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | the lowest multiple of 3 and 5 is 15 so that means denominater is 15 | False_Neither | null |
25,832 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | the method i use is this: you need to convert the fractions in to the same denominator, which would be 15, then add the numerators together to get the answer, a bit of which i can't exactly remember, but i think the value is 3/15. | False_Misconception | Denominator-only_change |
25,833 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | the number that is in both times tables of three and five are 15 so the bottom number is 15 and then 1+2=3 so that top number would be 3. | False_Misconception | Denominator-only_change |
25,834 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | the number that is in both times tables of three and five are 15 so the bottom number is 15 and then 1+2=3 so the top number is 3. | False_Misconception | Denominator-only_change |
25,835 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | the smallest common denominator of 3 and 5 is 15 and 1+2=3 | False_Misconception | Denominator-only_change |
25,836 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | the to dimnominators have to be the same 5 x 3 thatll make it 15 and you don the top off it | False_Neither | null |
25,837 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | then, multiply the bottom by 2, and add the top. | False_Neither | null |
25,838 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | they both go into 15 | False_Neither | null |
25,839 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | this is because you can add the 1 and 2 but the bottom numbers are not the same so you have to change it to a common number, in this case 15. | False_Misconception | Denominator-only_change |
25,840 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | this is because you find a multiple of both 3 and 5 , which is 15 , and add the numerators to get the answer 3 over 15 | False_Misconception | Denominator-only_change |
25,841 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | this is the denominator and you add the top ones together. | False_Neither | null |
25,842 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | thr least multiple of 3 and 5 is 15, so that means denominater is 15. | False_Neither | null |
25,843 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | three and five both go in 15 and 3 x 1=3 so it's 3/15. | False_Misconception | Denominator-only_change |
25,844 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | times 3 x 5 and 5x3 and add the numerators | False_Neither | null |
25,845 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | times by the bottom add by by. | False_Neither | null |
25,846 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | times by the bottom add by the top | False_Neither | null |
25,847 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | to do the calculation you must make the dominate the same and then and the numerater | False_Neither | null |
25,848 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | to do this you need a number that is in the three and five times table and fifteen is one of them so you add one and two together which is three which equals three fiteenths | False_Misconception | Denominator-only_change |
25,849 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | to do this, you needd to find a common denominator. | False_Neither | null |
25,850 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | to find out the denominator you have to find a multiply of 3 and 5 which the closest one is 15, and then or the numerator, you need to add them together | False_Neither | null |
25,851 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | to find the denominator, which the closest one is 15, and then or the numerator you need to add them together. | False_Neither | null |
25,852 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | to get to 15 you make the denominators the same, then do 2 + 1 timess the numbers to get 16. | False_Neither | null |
25,853 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | to get to 15, you make the denominators the same, so you end up with 2 + 1 | False_Misconception | Denominator-only_change |
25,854 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | two divided by six is three | False_Neither | null |
25,855 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | two divided by six is three. | False_Neither | null |
25,856 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | well you do 3 times 5 which is 15 then you add 1 and 2 which is 3 therefore that gives you the answer 3/15 | False_Misconception | Denominator-only_change |
25,857 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | when you add with fractions, the denominator must be the same, so the common multiple of 3 and 5 was 15 so that would be the denominator. 1 + 2 equals 3. answer: 3/15. | False_Misconception | Denominator-only_change |
25,858 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | when you are adding fractions the denominater needs to be the same so you would times 3 and 5 together which is 15 and 15 would be your denominater | False_Neither | null |
25,859 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | x the denominators add the numorators | False_Neither | null |
25,860 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | x the drnominators add the numorators | False_Neither | null |
25,861 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | you convert 3 and 5 into 15 as it is rhe nearest number | False_Neither | null |
25,862 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | you find the common denominator and ad
nominations | False_Neither | null |
25,863 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | you find the common denominator and the ad nominations | False_Neither | null |
25,864 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | you find the common denominator which was 15 and then add the numerators. | False_Neither | null |
25,865 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | you find the lcm of 3 and 5 what is 15 then add 1 and 2 together | False_Misconception | Denominator-only_change |
25,866 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | you have 3 and 5 so 15 both goes into them so 15 would be the denominator | False_Neither | null |
25,867 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | you have to change the bottom because you cant add them when they are diffrent so u have to change it to 15 | False_Neither | null |
25,868 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | you have to change the bottom because youu can't add it when they are different so you have change it to 15. | False_Neither | null |
25,869 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | you have to convert the fractions to a equelent fraction | False_Neither | null |
25,870 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | you have to convert the fractions to the equivalent fraction. | False_Neither | null |
25,871 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | you have to convert them denominater into a multiple that both 3 and 5 go into (15) and then add the numerators. | False_Misconception | Denominator-only_change |
25,872 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | you have to get the fractions with the same denominator | False_Neither | null |
25,873 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | you have to make both denominators the same so.....
3x5=15
1x5=5
2x5=10
so it would be 5/15+10/15
i don't think that any of these nswers are right... | False_Neither | null |
25,874 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | you have to make it with a same demoniter and it is 15 and 1 plus 2 is 3, so its 3/15 | False_Misconception | Denominator-only_change |
25,875 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | you have to make the bottom numbers the same , 3 doesn't go into 5 exactly so i found a number that they both went into ,15, then you do 1 add 2 which is 3 but you don't change the bottom number. | False_Misconception | Denominator-only_change |
25,876 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | you just add up the top ones because 3 times 5 is 15 and then you just multiply that by 3 because that is 3 * 5 = 15 so you add that up. | False_Neither | null |
25,877 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | you make them into 15 and 1+2=3 so the answer is 3/15 | False_Misconception | Denominator-only_change |
25,878 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | you need to add at the top and times at he bottom. | False_Misconception | Denominator-only_change |
25,879 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | you need to add at the top and times at the bottom | False_Misconception | Denominator-only_change |
25,880 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | you need to change the denominators to a number they both go into and they both go into 15 | False_Neither | null |
25,881 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | you need to find a common denominator | False_Neither | null |
25,882 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | you need to find the common denominator | False_Neither | null |
25,883 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | you need to have the same integer at the bottom and add the top | False_Misconception | Denominator-only_change |
25,884 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | you times the bottom and add the top | False_Misconception | Denominator-only_change |
25,885 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | you wood add boafe of numerator and times boaf of the denominator and you get the answers | False_Misconception | Adding_across |
25,886 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | you wood add boafe of numerator and times boarf of the denominator you get the answers | False_Misconception | Adding_across |
25,887 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{15} \) | you x because you cant find the lcm | False_Neither | null |
25,888 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{8} \) | 1 + 2 = 3 and 3 + 5 = 8 so the answer is 3/8 | False_Misconception | Adding_across |
25,889 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{8} \) | 1 + 2 = 3 and 3+5=8 so in a fraction that would be 3 over 8. | False_Misconception | Adding_across |
25,890 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{8} \) | 1 + 2 = 3 thenn 3 + 5 = 8. | False_Misconception | Adding_across |
25,891 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{8} \) | 1 + 2 is 3 + 5 is 8 which gives the answer 3 over 8. | False_Misconception | Adding_across |
25,892 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{8} \) | 1 + 2 is 3 and 3 plus five is 8 so 3 over eightt is the fraction. | False_Misconception | Adding_across |
25,893 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{8} \) | 1 + 2 is 3 andd 3 + 5 is 8. | False_Misconception | Adding_across |
25,894 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{8} \) | 1 / 3 + 2 /5 = what a is | False_Neither | null |
25,895 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{8} \) | 1 / 3 + 5 1/ 3 = 1 1 8th | False_Neither | null |
25,896 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{8} \) | 1 add 2 is 3
3 add 5 is 8
which gives the answer three over eight | False_Misconception | Adding_across |
25,897 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{8} \) | 1 add 2 is 3 and 3 add 5 is 8 | False_Misconception | Adding_across |
25,898 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{8} \) | 1 add 2 is 3 and 3 add 5 equals 8 | False_Misconception | Adding_across |
25,899 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{3}{8} \) | 1 add 2 is 3 and 3 add 5 is 8 | False_Misconception | Adding_across |
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