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
25,300
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{30} \)
if you multiply 5 plus 6=11 then you have to rewrite the equation as 15 is the lowest denominator.
False_Neither
null
25,301
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{30} \)
if you multiply 5x3=15 then you do 5*1=5 and 3*2=6 and 6 plus 5 is 11 then it would be 11/15
False_Correct
null
25,302
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{30} \)
im not too sure at fractions
False_Neither
null
25,303
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{30} \)
it was closest to what my other answer was
False_Neither
null
25,304
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{30} \)
make the bottom the same and just add the top
False_Misconception
Denominator-only_change
25,305
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{30} \)
make the denominators the same - it becomes 15 1 times 5 = 5 2 times 3 =6 5+6=1 so its 11/15
False_Correct
null
25,306
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{30} \)
make the denominators the same and do the same to the top then add them
False_Neither
null
25,307
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{30} \)
make the denominators the same and do the top the otherr way around and add them.
False_Neither
null
25,308
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{30} \)
so the numerators aree 6 and 5, and the denominators is 15. so you need to add the two numbers together to get 11, and then add that to the common de demoninator, which is 15, and you get 11.
False_Neither
null
25,309
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{30} \)
so then 3 + 5 = 15 and 1 + 2 = 3 so its 3 - 15
False_Misconception
Denominator-only_change
25,310
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{30} \)
the common denominator of 15 is 15, so first, i figured out the common factor of 15, then i dud 1 x 5 to get 5, then i did 2 x 3 to find 6, then added 5 so i got 11. then i added 11 so it was 11.
False_Neither
null
25,311
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{30} \)
the common multiple is 15 so whatever you do to the denominator you do to the numerator
False_Neither
null
25,312
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{30} \)
they both have thirty in their times tables.
False_Neither
null
25,313
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{30} \)
times 1 by 5 and 2 by 3 thee answer is 11 over 15
False_Neither
null
25,314
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{30} \)
x times the bottom by and times times th top by it and that's how i got my answer
False_Neither
null
25,315
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{30} \)
you change bottoms to 30 and add the top ones up
False_Neither
null
25,316
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{30} \)
you change thee bottoms to 30 and add the top ones up
False_Misconception
Incorrect_equivalent_fraction_addition
25,317
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{30} \)
you fnd the closes denomter which is 15
False_Neither
null
25,318
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{30} \)
you have to find the lowest common multiple and then you have to add 6/15 and 5/15 which is 11/15
False_Correct
null
25,319
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{30} \)
you have to findd the common denominator
False_Neither
null
25,320
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{30} \)
you have to make the common denominator, which is 30, then 1 add 2 is 3
False_Misconception
Denominator-only_change
25,321
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{30} \)
you need to find the common denominator
False_Neither
null
25,322
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{30} \)
you will need to find a common denominator such as dividing both numbers by the common factor, then adding the numerators together.
False_Neither
null
25,323
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
1 + 2 = 3 3 timess 5 = 15
False_Misconception
Denominator-only_change
25,324
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
1 + 2 = 3 5 + 3 = 8 put it as a fraction and it equals 3/8
False_Misconception
Adding_across
25,325
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
1 + 2 = 3 5 + 3 = 8 take it as a fraction and it equals 3/8
False_Misconception
Adding_across
25,326
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
1 + 2 = 3 and also 3 and 5 both fit into 15
False_Misconception
Denominator-only_change
25,327
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
1 + 2 = 3 and also 3 or 5 both fit into 15.
False_Misconception
Denominator-only_change
25,328
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
1 + 2 = 3 and to find the common denominator , you do 5 x 3 = 15 ; the answer is 3/15
False_Misconception
Denominator-only_change
25,329
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
1 plus 2 equals 3 so the dominotars both go into 15 so 1 + 3 = 4.
False_Neither
null
25,330
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
1+2 is 3, 3x5 is 15, so you get 3/15.
False_Misconception
Denominator-only_change
25,331
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
1+2=3 and the lowest common multiple is 15.
False_Misconception
Denominator-only_change
25,332
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
1+2=3 so the answer is 3/15.
False_Misconception
Denominator-only_change
25,333
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
1+2=3, so 3/15.
False_Misconception
Denominator-only_change
25,334
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
1/3 + 2/5 = 3/15 i did 3x5 which is 15 and then 1+2 which is 3
False_Misconception
Denominator-only_change
25,335
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
1/3 + 2/5 = 3/15 i did 3x5 which is 15 andd then 1+2 which was 3
False_Misconception
Denominator-only_change
25,336
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
15 goes in the 3 and 5 times tables then times 3 by 5 (answer = 15) and troimes the top number as well then do the same with the other fraction and then add the enumerators together
False_Neither
null
25,337
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
15 is a factor of 3 and 5 and 2+1 is 3 so it's 3/15
False_Misconception
Denominator-only_change
25,338
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
15 is in the 5 times tables and in the 3 times tables so you make them both 15 in the denominator then u add 1 and 2 therefore it = 3 over 15 .
False_Misconception
Denominator-only_change
25,339
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
15 is the 1st number in the 3 and 5 x table
False_Neither
null
25,340
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
15 is the common denominator then add the top two which is 3
False_Misconception
Denominator-only_change
25,341
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
15 is the firstt number in the 3 and 5 x table
False_Neither
null
25,342
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
15 is the lowest common denominator
False_Neither
null
25,343
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
1x5=5 and 3x3=6 so 3*5 = 15 and 1 x 5 = 5 so 5 +6 = 11.
False_Correct
null
25,344
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
2/5 = 6/15 and 1/3 = 5/15 so add them together and you get 11/15.
False_Correct
null
25,345
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3 + 5 = 15 and then you add 15 so the domminater is 15 then I did 2 + 1 = 3 and that gave me 3
False_Misconception
Denominator-only_change
25,346
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3 +5'is 7 3 times 2 is 6 and 1 ines 5 is 5
False_Neither
null
25,347
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3 and 5 add up to 15 and then 1 plus 2 is 3 so 3 plus 5 is 15 plus 3 is 15.
False_Misconception
Denominator-only_change
25,348
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3 and 5 both fit in to 15
False_Neither
null
25,349
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3 and 5 both go imto 15 and not 8 and the numerator is 3 because 1+2 = 3.
False_Misconception
Denominator-only_change
25,350
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3 and 5 both go into 15 and 1 + 2 = 3 so it’s 3/15
False_Misconception
Denominator-only_change
25,351
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3 and 5 both go into 15 and the add the numerator
False_Misconception
Denominator-only_change
25,352
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3 and 5 both go into 15 and then add the numerator.
False_Misconception
Denominator-only_change
25,353
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3 and 5 both go into 15, so 3 + 2 = 3 so that's 3/15.
False_Misconception
Denominator-only_change
25,354
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3 and 5 both go into 15. 1+2=3 so 3/15.
False_Misconception
Denominator-only_change
25,355
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3 and 5 go into 15 and 1 plus 2 is 3
False_Misconception
Denominator-only_change
25,356
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3 and 5 go into 15 so add 1 and 2 and it's 3/15
False_Misconception
Denominator-only_change
25,357
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3 and 5 go into 15 so add 1 and 2 and it's 3/15
False_Misconception
Denominator-only_change
25,358
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3 and 5 go into 15 so the domminater is 15 and then i did 2+1 =3
False_Misconception
Denominator-only_change
25,359
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3 and 5 meet at 15 so the bottom number will be 15 then by adding 1 and 2 = 3 which gives you 3/15
False_Misconception
Denominator-only_change
25,360
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3 and 5's lcm is 15, and 1+2 is 3
False_Misconception
Denominator-only_change
25,361
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3 and 5's lcmm is 15, and 1+2 is 3.
False_Misconception
Denominator-only_change
25,362
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3 andd 5 both go into 15 and 1 + 2 = 3 so it’s 3/15
False_Misconception
Denominator-only_change
25,363
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3 fifteenth's because 1 + 2 = 3 and 5x3 =15 so the end result of the fraction would be b.
False_Misconception
Denominator-only_change
25,364
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3 fifteenth's because 1 + 2 = 3 and 5x3=15 so the end result of the fraction would be b.
False_Misconception
Denominator-only_change
25,365
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3 times 5 = 15 and 2 + 3 = 3 so it woukd be 3 + 15 = 18.
False_Neither
null
25,366
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3 times 5 = 15 which is the denominator then 1+2 = 3
False_Misconception
Denominator-only_change
25,367
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3 times 5 is 15 so it seemed like the most logical answer
False_Neither
null
25,368
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3 times anything is equal to 15 and so is 5 and 1 plus 2 equals 3 so this is easy to remember.
False_Misconception
Denominator-only_change
25,369
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3 x 5 is 15, this is the denominator and you add the top ones together
False_Misconception
Denominator-only_change
25,370
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3/15 15 is 5 timess 3 and 2+3=3.
False_Neither
null
25,371
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3/15 divided into 1/3 and 2/5 is 1/3.
False_Neither
null
25,372
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3x5 = 15 andd then 1+2 = 12.
False_Neither
null
25,373
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3x5 is 15 so 3 + 2 is 3 so you come up with 3/15.
False_Misconception
Denominator-only_change
25,374
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3x5 is the denominator and thenn you do 1+2=3.
False_Misconception
Denominator-only_change
25,375
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3x5=15 1+2=3 so it will be 3 over 15
False_Misconception
Denominator-only_change
25,376
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3x5=15 1+2=3 so it wilk be 3 over 15.
False_Misconception
Denominator-only_change
25,377
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3x5=15 and 1+2=3, so it would be 3/15.
False_Misconception
Denominator-only_change
25,378
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3x5=15 so that its your denominator then just add 1 and 2
False_Misconception
Denominator-only_change
25,379
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
3x5=15 so the denominator is 15 and then 1+2=3 which is the numerator. so you end up with 3/15.
False_Misconception
Denominator-only_change
25,380
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
5 times 3 equals 15 that is the denominator and 1 add 2 equels 3
False_Misconception
Denominator-only_change
25,381
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
5 times 3 equals 15 that is the denominator and 1 plus 2 equal 3
False_Misconception
Denominator-only_change
25,382
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
B because you plus on 1 and 2, and you times 3 and 5.
False_Misconception
Denominator-only_change
25,383
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
B is thee answer because the closest number 3 and 5 both can make is 15,thats why i converted it into 15ths and added the numerators.
False_Misconception
Denominator-only_change
25,384
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
Because l found a common denominator (15) and then added the numberators.
False_Correct
null
25,385
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
Because you change the fractions into the same denominator
False_Neither
null
25,386
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
Because you have to find the CD which is 15,
False_Neither
null
25,387
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
Because you only add the top andd times the bottom.
False_Misconception
Denominator-only_change
25,388
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
Find a common denominator such that the twoo numbers add to 100.
False_Neither
null
25,389
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
Find the common denominator
False_Neither
null
25,390
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
For the number 15 the lowest common denominator is 15.
False_Neither
null
25,391
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I am not sure on this one.
False_Neither
null
25,392
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I changed the denominator to 15, then did 2 + 1=3 so 3/15 is your answer.
False_Misconception
Denominator-only_change
25,393
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I changed the denominators to 15 then added them and I got 3.
False_Misconception
Denominator-only_change
25,394
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I did this because I came to the first number in the times table they weree both the same in and added the top.
False_Neither
null
25,395
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I found a common denominatorr which you couldn't do so times them together which equalled 15 and 1 add 2 equals 3.
False_Misconception
Denominator-only_change
25,396
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I found what time's tablel the denominator as in then added the numerator.
False_Misconception
Denominator-only_change
25,397
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I found what timess tablel the denominator as in then added the numerator.
False_Neither
null
25,398
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I havr to do it again.
False_Neither
null
25,399
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I just timed the bottom and added the top and it came up with one of the answers here.
False_Misconception
Denominator-only_change