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
25,500
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
all you do is change the dint dominators the same which is 15 then add the nominators which makes 3 so it is b
False_Misconception
Denominator-only_change
25,501
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
and the common denominator is 3 ; the answerr is 1 + 2.
False_Neither
null
25,502
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
and then you add 1 and 2 to make 15.
False_Neither
null
25,503
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
and then you have to make a common drnominator and 3 and 5 both go into 15 so that is how i got 3/15
False_Misconception
Denominator-only_change
25,504
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
b because 1+2=3 and then you have to make a common denominator and 3 and 5 both go into 15 that is how i got 3/15
False_Misconception
Denominator-only_change
25,505
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
b because 1/3 + 2/5 you can’t do so you would then have to convert 1/3 into 1/15 and 2/5 into 2/15 add them together you get 3/15
False_Misconception
Denominator-only_change
25,506
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
b because 1/3 + 2/5 youu cant do you would have to convert 1/3 into 1/15 and 2/15 into 2/1 putting them together you get 3/15
False_Misconception
Denominator-only_change
25,507
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
b because 3 times 5 is 15 and 2 + 3 = 5.
False_Neither
null
25,508
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
b because 3x5=15 so the denometer would be 15 and add 2 and 1 together that make 3 so that would make the answer would 3/15.
False_Misconception
Denominator-only_change
25,509
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
b because 3x5=15 so the denometer would be 15 and add 2 and 1 together that make 3 so the answer would be 3/15
False_Misconception
Denominator-only_change
25,510
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
b because if you have 2 plus 1 then that will equel 3 so then you will know that the answer to this question has to be 3/15
False_Misconception
Denominator-only_change
25,511
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
b because u times the denominator by the other denotinar and add two add one so your answer is a.
False_Neither
null
25,512
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
25,513
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
b is the answer because the closest number 3 and five both can make is 15,thats why i converted it into 15ths and added the numerators.
False_Misconception
Denominator-only_change
25,514
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 3 x 5 = 15 so 15 is the denominator 1 + 2 = 3 so the answer would be 3/15
False_Misconception
Denominator-only_change
25,515
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 1+2 =3 and 3 and 5 are in the 15 times table
False_Misconception
Denominator-only_change
25,516
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 1+2 =3 and 3 and 5 are in the 15 times table.
False_Misconception
Denominator-only_change
25,517
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 1+2 is 3 and 3+5 is 8 so that answer could be 3/8 but again i'm not really sure.
False_Misconception
Adding_across
25,518
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 1+2=3 3 and 5 both go into 15
False_Misconception
Denominator-only_change
25,519
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 1+2=3 3 and 5 both go into 15
False_Misconception
Denominator-only_change
25,520
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 1+2=3 and the lowest common multiple is 15
False_Misconception
Denominator-only_change
25,521
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 15 goes into 3 and 5 so that becomes the denominator and 1 +2 =3
False_Misconception
Denominator-only_change
25,522
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 15 is in both timestables
False_Neither
null
25,523
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 15 is in the 3 and 5 timetables
False_Neither
null
25,524
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 15 is in the 3 and 5 timetables
False_Neither
null
25,525
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 15 is the lowest denominator for 3 and 5
False_Neither
null
25,526
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 2/5=6/15 and 1/3=5/15 add them together you get 11/15
False_Correct
null
25,527
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 3 and 5 both go into 15 and 2+1=3 so its b
False_Misconception
Denominator-only_change
25,528
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 3 and 5 both go into 15 and 2 + 3 = 3 so its b
False_Misconception
Denominator-only_change
25,529
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 3 and 5 both go into 15 and not 8 and the numerator is 3 because 1+2 = 3
False_Misconception
Denominator-only_change
25,530
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 3 and 5 go into 15 so that would be you denominator
False_Neither
null
25,531
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 3 and 5 meet at 15 making the bottom number 15 then by adding 1+2 = 3 which gives you 3/15
False_Misconception
Denominator-only_change
25,532
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 3 and 5 so that bevomes the denominator and 1 plus 2 =3
False_Neither
null
25,533
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 3 and 5 timee table have the number 15 and 1+2 is 3
False_Misconception
Denominator-only_change
25,534
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 3 snd 5 are multiples of 15 and because 15 is the lowest denominator for those three and five numbers.
False_Neither
null
25,535
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 3 times 5 is 15 and then you just add the top ones together
False_Misconception
Denominator-only_change
25,536
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 3x5 = 15 and 1x5=5 and then 2x3=6 and 5+6=11
False_Correct
null
25,537
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 3x5 =15 so that's the denominator and 1+2=3 so that's the numerator
False_Misconception
Denominator-only_change
25,538
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 3x5 is 15 so 1+2 is 3 you come up with3/15
False_Misconception
Denominator-only_change
25,539
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 3x5 is the denominator and then you do 1+2=3
False_Misconception
Denominator-only_change
25,540
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 3x5=15 and 1+2= 3 so it would be 3/15
False_Misconception
Denominator-only_change
25,541
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 5 and 3 both go into 15
False_Neither
null
25,542
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 5 and 3 both go into 15.
False_Correct
null
25,543
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 5*3 =15 and 1+2 =3 so the answer is 3/15.
False_Misconception
Denominator-only_change
25,544
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 5x3is 15 spit will be the denominator and then u just add the top numbers
False_Misconception
Denominator-only_change
25,545
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because a number that goes into 3 and 5 is 15 and then you just add the numerators
False_Neither
null
25,546
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because all you do is change the dint dominators the same which is 15 then add the nominators which makes 3 so it is b
False_Misconception
Denominator-only_change
25,547
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because convert both 3 5 so they both have the same denominator that is 15 so 1+2=3
False_Misconception
Denominator-only_change
25,548
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because i changed the denominator to 15 then did 2+1=3 so 3/15 is your answer
False_Misconception
Denominator-only_change
25,549
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because i done 3 times 5and i got 15 and then i added the top number together too get the awnser
False_Misconception
Denominator-only_change
25,550
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because i found the common multiple of 3 and 5 which is 15, kept the denominators the same and added the numeratorsame (1 and 2) together and got my answer!
False_Misconception
Adding_across
25,551
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because i made them the same denominator (15) and added 1 + 2 = 3
False_Misconception
Denominator-only_change
25,552
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because if you do 1+2 is 3, after that you do 3x5 which is 15 so you get 3/15
False_Misconception
Denominator-only_change
25,553
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because if you do 3x5 = 15 and then 1+2
False_Misconception
Denominator-only_change
25,554
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because if you have 3 and 5 then times 5 by 3 and that equals 15 so the denominator is 15 then add 1 and 2 and b is your answer
False_Misconception
Denominator-only_change
25,555
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because if you make the same dominator the same then add them together it is 3/15
False_Misconception
Denominator-only_change
25,556
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because 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
25,557
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because it is the correct answer
False_Neither
null
25,558
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because it is the correct answer
False_Neither
null
25,559
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because l found a common denominator (15) and then added the numberators.
False_Neither
null
25,560
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because since u cant make 3 into 5 or 5 into 3 i found the most closes same time table which was 15 and added the 1 and 2 =3/15.
False_Misconception
Denominator-only_change
25,561
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because the common denominator in 3 and 5 is 15 and 1+2=3
False_Misconception
Denominator-only_change
25,562
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because the common denominator is 15 (it divides into both 3 and 5) and 1+2 is 3. if you were to simplify the answer, you'd get 1/5
False_Misconception
Denominator-only_change
25,563
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because the common denominatorr in 3 and 5 is 15, and 1+2=3.
False_Misconception
Denominator-only_change
25,564
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because the denominators are different and they both have 15 in there multiples, then you add the numerators together which makes 3 over 15.
False_Misconception
Denominator-only_change
25,565
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because the denominators are different and they both have 15 in there multiples. then you add the numerators together which makes 3 over 15.
False_Misconception
Denominator-only_change
25,566
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because the dinominater must be the same and 2 + 1 = 3 and 15 is in both 3 times tables and 5 times table
False_Misconception
Denominator-only_change
25,567
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because the dinominater must be the same and 2+1 =3 and 15 is in both 3 times tables and 5 times table
False_Misconception
Denominator-only_change
25,568
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because the highest number you can get in the 3s and 5s is 15 so the bottom would be 15 and the top will be three because of 1+2=3
False_Misconception
Denominator-only_change
25,569
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because the lcm of the denominator is 15 and then 1+2=3
False_Misconception
Denominator-only_change
25,570
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because the lowest common denominator is 15 so then you do three add two and that equals 3/15.
False_Misconception
Denominator-only_change
25,571
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because the lowest common multipul of 3 and 5 is 15 sothe answer is 3/15
False_Neither
null
25,572
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because the lowest lcm of them both are 15 and 2+1=3
False_Misconception
Denominator-only_change
25,573
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because they both go into 15
False_Neither
null
25,574
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because to me keep it easier 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 and then it is three fiteenths
False_Misconception
Denominator-only_change
25,575
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because u have to do 3x5 equal 15 and 5x3 equal 15
False_Neither
null
25,576
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because we must first make the denominators the same so we could multiply the denominators and then add the numerators
False_Neither
null
25,577
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because you add the top and times the bottom
False_Misconception
Denominator-only_change
25,578
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because you add the top and times the bottom.
False_Neither
null
25,579
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because you add the top fraction and then find a number that is in both the lower fractions timetables
False_Misconception
Denominator-only_change
25,580
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because you add the top fraction and then find a number that is in both the lower fractions timetables
False_Misconception
Denominator-only_change
25,581
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because you add them to gaver
False_Neither
null
25,582
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because you both bottom numbers have to be in the same times tables and then add the top two
False_Neither
null
25,583
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because you cant find the lcm so you x
False_Neither
null
25,584
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because you convert the fractions into the same denominator
False_Neither
null
25,585
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because you covert the denominators to their common denominator which is 15 and then you can add the numerators
False_Misconception
Denominator-only_change
25,586
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because you find out the common denominator (which is 15) , make both the denominators 15 and then add them
False_Misconception
Denominator-only_change
25,587
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because you find the common denominater which is 15 then you add one and two which is three
False_Misconception
Denominator-only_change
25,588
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because you find the common denominator
False_Neither
null
25,589
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because you find the common denominator and add the two together
False_Neither
null
25,590
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because you have to find the common denominator than add the top
False_Neither
null
25,591
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because you have to find the lcm which is fifteen and then add one and two which is three
False_Misconception
Denominator-only_change
25,592
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because you have to find the lowest common multiple
False_Neither
null
25,593
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because you have to get the denominators the same so 15 so x the one by 5 and the 2 by three so 6 and 6+5=11
False_Correct
null
25,594
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because you have to make the denominator so the same and the simulartys for 3 and 5 is 15 and then 1+2=3 so it's 3/15
False_Misconception
Denominator-only_change
25,595
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because you have to make the denominators the same numbers then you have to add the top numbers. that makes 3/15
False_Misconception
Denominator-only_change
25,596
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because you have to make the nemarater the same
False_Neither
null
25,597
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because you just add the numbers
False_Neither
null
25,598
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because you multiply the dominator and add the numerator
False_Neither
null
25,599
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{3}{15} \)
because you need to add 1+2 and then x 3+5.
False_Misconception
Adding_across