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
25,400
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I know this because you have to convert the fractions in to the same denominator which would be 15 and then you add the numerators together and the answer is 3/15 which is partlyy what I was guessing at because I have never done this before.
False_Neither
null
25,401
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I made the denominator the same and the highest common multiple was 15 then I added the numerators together.
False_Misconception
Denominator-only_change
25,402
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I think it is b because 3 doesn’t go into 5, but 15 does into 3 and 5, so it has to be 3/15.
False_Misconception
Denominator-only_change
25,403
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I think it is because you times the bottom and add the top.
False_Misconception
Denominator-only_change
25,404
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I think its this answer becausr 3 and 5 go in to 15 the bottom then 1+2=3 so its 3/15
False_Misconception
Denominator-only_change
25,405
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I think this because 3 times 5 = 15 then 1 + 2 = 3.
False_Misconception
Denominator-only_change
25,406
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I think this because 3 times 5 = 15, then 1 plus 2 =3.
False_Misconception
Denominator-only_change
25,407
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I think this because it is this.
False_Neither
null
25,408
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I think this because the common denominator is 15, and thenn 2 + 1 is 3, so the answers is 3/15.
False_Misconception
Denominator-only_change
25,409
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I think this because the least common multiple for 3 and 5 is 15.
False_Neither
null
25,410
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I think this because when adding fractions that don't work immediately you should find the lowest common multiple.
False_Neither
null
25,411
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I think this because you add the top which will be 3 then find the common denominator between 3 and 5.
False_Misconception
Denominator-only_change
25,412
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I think this because you need to turn it into a common denominator which is 15 then 1 plus 2 equals 3 over 15 and that is how i got my answer.
False_Misconception
Denominator-only_change
25,413
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I think this is because when you find the common multiplee of 5 and 3 you get 15, then add the numerators 1 and 2 you got 3 over 15.
False_Misconception
Denominator-only_change
25,414
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I think this is because when you make thee denominators the same and add the numerators you get 3/15.
False_Misconception
Denominator-only_change
25,415
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I think this is because you add thee numerator and multiply the denominator
False_Neither
null
25,416
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I think this is because you make the bottom 15 then + the top together
False_Misconception
Denominator-only_change
25,417
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I think this is because you must find the common denominator and then add the numerators together.
False_Misconception
Denominator-only_change
25,418
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I think this is correct because 15 is thee closest number in both tables.
False_Neither
null
25,419
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I think this is the answer because I timed the bottom andd the top
False_Neither
null
25,420
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I think thus is because when you find the common multiple of 5 and 3 you get 15, and then add the numerators 1 and 2, you got 3 over 15.
False_Misconception
Denominator-only_change
25,421
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I timed 3 by five and that gave me 15 and then added 1 and 2 and so that was 16.
False_Neither
null
25,422
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I worked it out using my maths skills with fractions.
False_Neither
null
25,423
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I worked this iut in my revision book
False_Neither
null
25,424
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I'm kind of guessing but I still don't know. This one seems like the most reasonable one.
False_Neither
null
25,425
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
I'm not sure if it's 3 or 8 because 1+2 is 3 and 3+5 is 8 but I think it might be 3/8.
False_Misconception
Adding_across
25,426
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
If the common denominator is 15, then 1/15 plus 2/15 is going to be 3/15.
False_Misconception
Denominator-only_change
25,427
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
If the first cimmon denominator is 15, then 1/3 x 5 = 5/15, and 2/5 X 3 = 6/15. 3x1/15 = 3/15 and 3 / 15 = 1/15
False_Neither
null
25,428
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
If yiu take the whole number and divide it by 2, you get 2, and then you add the two numbers together to get the third number which is 15 and you can add that to the first number to find the remainder which equals 12.
False_Neither
null
25,429
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
If you add 3 andd 5 you get 15 as it is rhe nearest number.
False_Neither
null
25,430
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
If you converted them to 15ths, then you would get 3/15 after adding them up.
False_Misconception
Denominator-only_change
25,431
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
If you have 3 and 5, then times 5 by 3, then that equals 15 then the denominator is 15 so you add 1 and 2 and b is your answer.
False_Misconception
Denominator-only_change
25,432
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
If you have two plus one then thst equals three so then you will know that the answer to this question has to be 3/15
False_Misconception
Denominator-only_change
25,433
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
If you made them equal then it would be 15 then you would add 2 and 1 to give you 3.
False_Misconception
Denominator-only_change
25,434
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
If you multiply 15 times anything, it comes out to be 3 times 15 becausr you add 1 and 2.
False_Misconception
Denominator-only_change
25,435
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
If you multiply 3 and 5 then you get 12, and if you add 15 then it gives you 21, and the denominator is 15.
False_Neither
null
25,436
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
If you multiply 3 and 5, then that gives you 15 so that would be your denominator.
False_Neither
null
25,437
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
If you need to find the lowest number you times the two bottom ones together then you add 1 and 2 together to get 3.
False_Misconception
Denominator-only_change
25,438
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
If you round 3 and 5 and round to 15 thenn it is 3/15.
False_Misconception
Denominator-only_change
25,439
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
If you take the first and the second number you get the common denominator which was 15 which is the same number so you add the two together to get 3/15.
False_Misconception
Denominator-only_change
25,440
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
If you times 1;3 by 5, you will get 3;15.
False_Neither
null
25,441
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
If you times the denominators together you get 15 on the bottom then you add the numerators and get 3.
False_Misconception
Denominator-only_change
25,442
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
It is because 15 is the lowest that appears in the 5 and 3 times tables and 1 + 2 is 3.
False_Misconception
Denominator-only_change
25,443
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
Let the number be the multiplee of 15 then add 1 to 2.
False_Misconception
Denominator-only_change
25,444
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
Make the bottom number the same number that goes into both = 15 then add the top number up which is 3 then put that to the left side and it cant be simplified.
False_Misconception
Denominator-only_change
25,445
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
Since the denominator is 15, then 1+2=3.
False_Misconception
Denominator-only_change
25,446
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
Since u cant make 3 into 5 or 5 into 3 i found the vlosest timetable which was 15 and added the 1 and 2 =3/15.
False_Misconception
Denominator-only_change
25,447
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
So if you find the commonn denominator which is 15 then you add one and two which equals three.
False_Misconception
Denominator-only_change
25,448
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
So it's 3 times 3 andd 1 times 2 and 3 is 3 so it is 1 3 3 15 times 15 so that is 15 3 1 and 2 3
False_Neither
null
25,449
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
So the answer is 3 over 15.
False_Neither
null
25,450
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
So the first thing to do is to make the denominator the same amd the second thing is do the reciprocal of the third and fifth numbers which is 15 and then 1+2=3 so it's 3/15 which will be the 3rd and 15th.
False_Misconception
Denominator-only_change
25,451
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
So they both have the same denominator that is 15 so 1+2=3.
False_Misconception
Denominator-only_change
25,452
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
So we have to make the denominators the same, thenn we can multiply the numerators.
False_Neither
null
25,453
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
So you do 5x3 which is 15 because you see which number goes into both of the denominators which are 15 so you know which one is 3 which will be 15 and so do 3x15 which would be 15.
False_Neither
null
25,454
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
So you find the common denominator which is 15 andd you add the two numbers together to get 3/15 which equals 3 times 15 which was the number of times the 2 and the 1 went together.
False_Misconception
Denominator-only_change
25,455
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
So you have to multiply the denominators which is 15 and then you add the numerators, which in this case is 3, which gives you 3/15.
False_Misconception
Denominator-only_change
25,456
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
So you need to get the same denominator and you times them together and then add 1+2 then thats the numeratour
False_Misconception
Denominator-only_change
25,457
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
So your denominator is 15 and you just need to add 1 and 2.
False_Misconception
Denominator-only_change
25,458
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
The answer is 3 because 3 times 5 is equal to 15 and 1 plus 2 equals 3, so the answer must be 3/15.
False_Misconception
Denominator-only_change
25,459
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
The common denominator is 15 so you have to add the top two which is 3 so 15 is the common factor.
False_Misconception
Denominator-only_change
25,460
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
The common denominator was 15, so then I added 2 and 3 whichh gave me 3/15.
False_Misconception
Denominator-only_change
25,461
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
The dominaner is not in the times tables
False_Neither
null
25,462
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
The first step is to find the common denominator, thrn add the two numbers together.
False_Neither
null
25,463
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
The lcm of 3&5 is 15, so you just add the numerators together to get 3. Therefore it's 3/5.
False_Misconception
Denominator-only_change
25,464
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
The least common denomimator for 3 & 5 is 15, so 1/15 plus 2/15 = 3/15.
False_Misconception
Denominator-only_change
25,465
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
The leastt common denominator is 15, 1+2 =3.
False_Misconception
Denominator-only_change
25,466
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. 3+2=6 so if the answer is 3 then the fraction is 1 / 3 which is equall to 3 - 1/5.
False_Neither
null
25,467
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
The two denominators have to be the same 5 x 3 thatll make it 15 and you don the top off it
False_Neither
null
25,468
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
Thee common denominator is 15 and 2+3 is 4. So, the answer is 19.
False_Neither
null
25,469
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
Then addd the numerators together which is 3 because you need to make the denominators the same 15 and add them together.
False_Neither
null
25,470
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
Then you add the numerators whichh was 15 which is equal to 45. The common denominator is 15 so the answer is 45 which simplifies to 15 because the whole number is multiplied by the common factor.
False_Neither
null
25,471
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
This method will work with any denominators. This will give us the same number of decimal places, and will simplify the whole number.
False_Neither
null
25,472
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
Three and fuve both go in 15 and 3 x 1=3, so it's 3/15.
False_Misconception
Denominator-only_change
25,473
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
Three times 5 is 15 so it seemed like the mist logical answer.
False_Neither
null
25,474
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
Thrre are three ways to do it: 3x5 = 15, 5x3 = 15 and 3 times 3 = 12.
False_Neither
null
25,475
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
25,476
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
When you multiply the denominator by 15, you get 15, then add 1 amd 2 which is 3/15.
False_Misconception
Denominator-only_change
25,477
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
You change the denominator to 15 because you times 3 amd 5 to get 15 then you add 2 and 1 which gives you 3 the answer is the 3/15
False_Misconception
Denominator-only_change
25,478
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
You change the denominators to the samee and the whole thing comes out to be the 5 times tables, and you just add the numerator.
False_Neither
null
25,479
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 different so you have change it to 15
False_Misconception
Denominator-only_change
25,480
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
You have to convert the denominator of the first number into a multiple that both 3 and 5 go into (15) and then add the numerators of both numbers.
False_Misconception
Denominator-only_change
25,481
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
You have to convert the denominator to a multiple that both 3 and 5 go into (15) and then add the numerators.
False_Misconception
Denominator-only_change
25,482
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
You have to find the common denominator and then add the top.
False_Misconception
Denominator-only_change
25,483
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
You have to find the lcm which is fifteen and then add one and two which equals three.
False_Misconception
Denominator-only_change
25,484
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
You just add the numbers
False_Neither
null
25,485
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
You multiply 3 and 5 to get 15 and thenn add 1 and 2 toget three.
False_Misconception
Denominator-only_change
25,486
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
You multiply both sidess by 3, which is 15 ; then add the numerators to get the answer 3 over 15
False_Misconception
Denominator-only_change
25,487
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
You multiply the dominator by the numerator, then add the result.
False_Neither
null
25,488
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
You need to change the denominators to something they both go into, and they go both into 15
False_Neither
null
25,489
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
You need to find the common denominator, then add the numerators together.
False_Neither
null
25,490
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
You need to find the least common multiple.
False_Neither
null
25,491
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
You need to get the same denominator which is 15 and then you add the numerators like normal
False_Misconception
Denominator-only_change
25,492
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
You times the bottom and add the top.
False_Misconception
Denominator-only_change
25,493
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
Youu have to get the fractions with the same denominator
False_Neither
null
25,494
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
add both numbers but find a common denominator
False_Neither
null
25,495
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
add by the top ,times by the bottom
False_Neither
null
25,496
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
add by the top,times by bythe bottom
False_Misconception
Adding_across
25,497
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
add the first two numbers together and then multiply the second two and you have the answer.
False_Neither
null
25,498
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
add the numerators and the denominators come out to be 15 thenn add that to the other numbers to find the final number.
False_Neither
null
25,499
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
add the top two but mulitply the bottom 2 numbers and thats the answer
False_Neither
null