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 |
|---|---|---|---|---|---|---|
24,500 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because first you need to find a common denominator which is 15 then do 1×5=5 and 2×3=6 and finally add 5/15+6/15=11/15. | True_Correct | null |
24,501 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i found the common denominator of 5 and 3 which is 15 so that is my denominator then i have to the same thing to the top so my numerator was 11 | True_Correct | null |
24,502 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i added the fractons and thats what i got. | True_Neither | null |
24,503 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i calculated by 1/3 both times 5 and 2/5 both times 3 and plus them together | True_Correct | null |
24,504 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i can make the denominators the same by finding a common denominator and then add the numerators. | True_Neither | null |
24,505 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i changed 1 third to 15ths then 2 fifth to fifteenth to get my answer. | True_Neither | null |
24,506 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i changed both denominators to fifteen (multiple of 5 and 3) to get 5/15 and 6/15 so then i added those fractions together to get 11/15. | True_Correct | null |
24,507 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i changed both fractions so they both have a common denominator of 15 and multiplied the numerator by the opposite denominator then added them together and got this answer | True_Correct | null |
24,508 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i changed it to 5/15+6/15 to get 11/15 | True_Correct | null |
24,509 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i changed the denominator into common denominators and added then together to make 11 | True_Neither | null |
24,510 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i changed the denominator to 15 and added 5 and 6 together to make 11 | True_Correct | null |
24,511 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i changed the denominator to be the same and multiplied the top accordingly, then i added them. | True_Neither | null |
24,512 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i changed the denominator. | True_Neither | null |
24,513 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i changed the denominators into 15 by x by 5 on the first denominator and then by 3 on the second and that gave me 5/15 add 6/15 which is 11/15. | True_Correct | null |
24,514 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i changed the denominators to 15 and got 11/15 | True_Correct | null |
24,515 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i changed the reaction so that they had the same denominator by times by 3 and 5 to get 15 and then i added them together | True_Correct | null |
24,516 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i converted 1 third and 2 fifths and added them and got the answer of 11 fifteenths. | True_Neither | null |
24,517 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i converted both of the numbers to fifteenths which would be 5/15 + 6/15 and then i added them which would be 11/15 | True_Correct | null |
24,518 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i converted the denominator into the same denominator and added them together. | True_Neither | null |
24,519 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i converted the numbers to make it the same denominator and it was 15 and then i added 5+6 together and i got 11/15. | True_Correct | null |
24,520 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i did a calculation | True_Neither | null |
24,521 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i did a calculation | True_Correct | null |
24,522 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i do | True_Neither | null |
24,523 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i first change each fractions to have their denominations their lowest common multiplies which makes 1/3 + 2/5 to 1/15 + 2/15. after that i then times the numerators with the same number used to calculate the denominators which then makes the fractions 6/15 + 5/15=11/15 | True_Correct | null |
24,524 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i first converted both numbers so they have the same denominator which i got 15. 1/3 = 5/15 2/5 = 6/15
5 + 6 = 11 so that's how i got 11/15 | True_Correct | null |
24,525 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i found a common denominator (which is 15) and then did 1x5=5 and then did 3x2=6 and did 6+5=11 and got 11/15 | True_Correct | null |
24,526 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i found a common denominator of 15 and then changed the numerators and added them together to get 11/15 | True_Correct | null |
24,527 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i found a common denominator, which was 15
(1/3=5/15, 2/5=6/15) then i added them together and got 11/15 which can't be simplified. | True_Correct | null |
24,528 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i found a denominator and then i multiplied that to the numerator and i got answer d. | True_Neither | null |
24,529 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i found the common factor of 3 and 5 is 15 and then l made then into 15 ths and then added them together | True_Correct | null |
24,530 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i know that 3x5=15 so that would be the denominator and then 5x1 and 2x3 which is just 5+6=11. | True_Correct | null |
24,531 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i know that 5x3=15 so that would b the denominator and the 3x2 and 5x1 which would be 6+5=11 so it would be 11/15. | True_Correct | null |
24,532 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i made a common denominator and and added the two numerator together | True_Correct | null |
24,533 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i made it into out of 15 and when i added them up together it equals d. | True_Neither | null |
24,534 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i made the denominators the same and the added the numerators | True_Neither | null |
24,535 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i made the denominators the same then converted the numorator. | True_Neither | null |
24,536 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i multiplied 1/3 to 5/15 = 2/5 which i turned into 6/15 so it is 11/15 | True_Neither | null |
24,537 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i multiplied to get the dominators to get them the same and then added them together | True_Neither | null |
24,538 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i times 3 by 5 and do the same to the top then add. | True_Neither | null |
24,539 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i timesed 3 by 5 to make 5 15ths and i did the same to make 6 15ths =11 15ths | True_Correct | null |
24,540 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i tried to work it out. | True_Neither | null |
24,541 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i worked it out | True_Neither | null |
24,542 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i worked it out and i found the common denominator after i had done that i did 3x5=15 for the denominator then did how many 3s go into 15 and how many 5s go into 15. thats how i got my answer. | True_Neither | null |
24,543 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i worked it out by changing the denominators,then adding the fractions together | True_Neither | null |
24,544 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i worked it out in my head | True_Neither | null |
24,545 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i worked it out in my head | True_Neither | null |
24,546 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because i worked it out on a wight bord | True_Neither | null |
24,547 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because if 1/3 and 2/5 are converted into fifteenths it would be 5/15+6/15=11/15. | True_Correct | null |
24,548 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because if i find the lcm of the two denominators and expand the numerator accordingly, i will get 5/15 + 6/15, which equals to 11/15 | True_Correct | null |
24,549 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because if i make it 5/15+6/15 it comes to 11/15 | True_Correct | null |
24,550 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because if u turn both of the fractions into equal denominators witch will be 15 then u times the numerator by 5 for 1\3 and you times the other numerator by 5 then u get your answer what will be 11\15 | True_Correct | null |
24,551 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because if we do 3x5 (x the bottom numbers together) then we get 15, and if we x the top numbers by it's bottom numbers, we get 5/15 + 6/15, added together, we get 11/15, which is the answer. | True_Correct | null |
24,552 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because if we multiply each fraction with the opposite denominator we are left with 5/15 & 6/15, add it together and you're left with 11/15. | True_Correct | null |
24,553 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because if you convert them to 15 and that 5/15 and +6/15 equals 11/15 | True_Correct | null |
24,554 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because if you add 1/3(5/15) + 2/5 (6/15).you add the 6 and 5 (numerator)to get 11 and the denominators stay the same. | True_Correct | null |
24,555 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because if you add them up you will get the correct answer | True_Neither | null |
24,556 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because if you change the denominator into 15 then it would be 5/15 + 6/15 which would be 11/15. | True_Correct | null |
24,557 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because if you change the denominator on both numbers to 15. you should get 5/15 and 6/15. then you need to add them together and you will get 11/15. you can't simplify them because 11 (the numerator) it is a prime number. | True_Correct | null |
24,558 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because if you change the denominators to 15 the 1/3 will become 5/15 and the 2/5 will become 6/15 | True_Correct | null |
24,559 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because if you change them all into 15ths they become 5/15+6/15=11/15 | True_Correct | null |
24,560 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because if you convert both fractions into elevens it will give you 11/15 | True_Correct | null |
24,561 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because if you convert them into the lowest common denominator its 15 the times the numerator by 3 and 5 and add them together then i got the answer of 11/15. | True_Correct | null |
24,562 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because if you convert to fifteenths you get 5 and 6 which is 11 | True_Correct | null |
24,563 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because if you do 5+6=11/15 | True_Correct | null |
24,564 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because if you find the common denominator it is 15 and 1/3 would be 5/15 and 2/5 would be 6/15 and when you add them it equals 11/15 | True_Correct | null |
24,565 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because if you give them a common denominator (15) then you can turn it into 5/15 plus 6/15 which is 11/15 | True_Correct | null |
24,566 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because if you make both of the denominators 15, and times by the top, it equals 11 over 15 | True_Correct | null |
24,567 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because if you make the denominators the same and you add them together you will get your answer | True_Neither | null |
24,568 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because if you make their denominators 15 their numerators would be 5 and 6 and if you add them together it would equal 11, so the answers would be 11/15 | True_Correct | null |
24,569 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because if you make them both equivalent it is how you add it together | True_Neither | null |
24,570 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because if you make them equal the you would have 5/15 + 6/15 which =11/15 | True_Correct | null |
24,571 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because if you make them into fifteenths you would get 11/15ths | True_Correct | null |
24,572 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because if you multiply the first fraction by 5 and the second one by 3, both denominators are 15.
5/15 plus 6/15 is equal to 11/15. | True_Correct | null |
24,573 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because if you put them over 15 then you get 5/15 + 6/15 which = 11/15 | True_Correct | null |
24,574 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because if you times 2/5 by three and 1/3 by 3 but it doesn't go to 5 so you have to find the common denominator | True_Neither | null |
24,575 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because if you times 3 by 5 it equals 15 and 1 times 5 it makes 5/15 and do the same with 2/5 but times it by 3. | True_Correct | null |
24,576 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because if you times 3x5 (the denominators) they're both 15 now
and you times 3x2 and 5x1 5 for the first numerator and 6 for second one and add them
11/15 | True_Correct | null |
24,577 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because if you times them by three and five then u get fifteen and to it to the top numbers and get 6 and 5 add them tighter is 11 | True_Correct | null |
24,578 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because it is one with the denominator of 15. | True_Neither | null |
24,579 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because l/3=5/15 and 2/5=6/15 | True_Correct | null |
24,580 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because one third is equal to five fithteenths.
two fifths is equal to six fithteenths.
5+6=11 | True_Correct | null |
24,581 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because since the denominators are not the same, you need to multiply the left side by 5 and the right side by 3 and add them together which gives you 11/15 | True_Correct | null |
24,582 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because th e common denominater becomes 15.the fraction would be five fifteenths add six fifteenths.so the answer is eleven fifteenths. | True_Correct | null |
24,583 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because the common denominator between those two fractions is 15 so then 1/3 will become 5/15 and 2/5 will become 6/15 and then you have to add the numerators together so the answer is 11/15. | True_Correct | null |
24,584 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because the common denominator is 15 and 2 x 3 = 6 and 1x5 is 5 if you add them up you get11 so it's 11/15 | True_Correct | null |
24,585 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because the common denominator is 15 so i x 3 by 5 and 5 by 3 and i did the same to the top | True_Correct | null |
24,586 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because the common denominator is 15 so numerators would be 5 and 6 | True_Correct | null |
24,587 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because the common denominator of 3 and 5 is 15 so you would do 5/15 + 6/15, which is 11/15. | True_Correct | null |
24,588 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because the denominator are not equal so you change it to the lowest number the two denominator it go into. that is 15 so since 3x5 (the two denominators) equal 15 you times 5 and 1 and 3 and 2 which is 5/15 + 6/15 = 11/15 | True_Correct | null |
24,589 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because the denominator is 15 and the sum is 5/15 + 6/15 = 11/15 | True_Correct | null |
24,590 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because the denominator is 15 then you do 1 times 5 and then 2 times 3 then add them and the answer is 11/15 | True_Correct | null |
24,591 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because the denominators are both factors of 15, and i multiplied the numerators and denominators into however much they go into 15 | True_Neither | null |
24,592 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because the denominators are not same so you would have to make the denominators same. the denominators will be 15 and the fractions would be 5/15 + 6/15 which is = 11/15. | True_Correct | null |
24,593 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because the domoninator is x by 5 so the top need to be x by 5 with gives 5/15 and the other one is x by 3 so its 6/15 them added together is 11/15 | True_Correct | null |
24,594 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because the gcf's of the things add up to this | True_Neither | null |
24,595 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because the lcm of 3 and 5 = 15, so we change the denominators to 15. the answers to this would be 5/15 + 6/15 which is 11/15. | True_Correct | null |
24,596 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because the lcm of 3 and 5 is 15, therefore, i would make my denominator 15 and then multiply the numerators accordingly to these- 5/15 + 6/15= 11/15. | True_Correct | null |
24,597 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because the lowest common denominator is 15 and that means you have to make them both into 15 ths. so 1/3 becomes 5/15 and 2/5 becomes 6/15 and 6+5=11 so it would be 11/15. | True_Correct | null |
24,598 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because the lowest common denominator is 15 and when you convert both into x/15, you get 5/15 + 6/15 | True_Correct | null |
24,599 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think this because the lowest common denominator is 15 so 15 goes into to 5 3 times therefore 3x2=6 . in addition, 15 goes into 3 5 times so 5x1=5 and 5+6=11 | True_Correct | null |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.