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
24,600
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because the lowest common denominator is 15 so it would be 5/15 add 6/15 which is 11/15
True_Correct
null
24,601
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because the lowest common denominator is 15 then 1/3 times 5 is 5/15. 2/5 times 3 is 6/15. finally you add them together which gives you the answer of 11/15
True_Correct
null
24,602
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because the lowest common denominator of 5 and 3 is 15 so you would do the same to the numerators then add them together which is 11/15.
True_Correct
null
24,603
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because the lowest common factor is 15
True_Neither
null
24,604
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because the lowest common factor is 15 and then i times them and added 5 and 6 giving me an answer of
True_Correct
null
24,605
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because the lowest common multiple is 15 so if you change the denominators to 15 then times the top by the bottom then it would equal 11/15.
True_Correct
null
24,606
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because the lowest common multiple of 3 and 5 is 15 so you change 1/3 to 5/15 and change 2/5 to 6/15. finally you add 5/15 and 6/15 to get 11/15.
True_Correct
null
24,607
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because the lowest common multiple of 3 and 5 is 15, so 1/3 = 5/15 and 2/5 = 6/15. 5/15 + 6/15 = 11/15
True_Correct
null
24,608
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because the lowest common multiple of 5 and 3 is 15 then i times the numarators by however many times i times there dinominator and then added them up
True_Correct
null
24,609
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because the smallest multiple of both 3 and 5 is 15 this means that the denominator of both fractions would be 15, but to make it work you have to do the same to the numerator. then you plus the fractions together and the answer is 11/15.
True_Correct
null
24,610
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because to add fractions, you make the denominators the same. the least common factor of 3 and 5 is 15. 1/3 + 2/5 = 5/15 + 6/15 = 11/15
True_Correct
null
24,611
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because to do 1/3 plus 2/5 you need to find the lowest common denominator which is 15 then times the numerator by however many times you times the denominator.
True_Neither
null
24,612
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because to fing the answer you have to find the common denominator which is 15. you then have to add the numerators which added up to 11/15.
True_Correct
null
24,613
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because we have to change the neumorator to add the fractions up.
True_Neither
null
24,614
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because we have to find the lcm for both denominators before adding the fractions. so the lcm for 3 and 5 is 15, 5/15 + 6/15 is 11/15
True_Correct
null
24,615
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because when 1/3 and 2/5 are converted it turns into 5/15 and 6/15. 5/15 + 6/15 is 11/15.
True_Correct
null
24,616
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because when i did my working i got 5/15+6/15=11/15
True_Correct
null
24,617
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because when i find the common denominator and also do the same to the top and add it up the answer is 11
True_Neither
null
24,618
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because when i make the denominator the same it become 5/15 + 6/15
True_Correct
null
24,619
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because when i timse the fractions by 3 and 5 and then add then (5/15 + 6/15 = 11/15)
True_Correct
null
24,620
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because when you add 1/3 + 2/5 you get 11/15.
True_Neither
null
24,621
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because when you convert them you get 5/15 and 6/15 and the 5+6=11
True_Correct
null
24,622
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because when you cross multiply 3 times 5 is 15, 3 times 2 is 6, 5 times one is five. five add 6 is 11 over 15
True_Correct
null
24,623
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because when you get a common denominator and multiply 3 and 2 and 5 and 1, you get 5/15 and 6/15. when you add, it is equal to 11/15.
True_Correct
null
24,624
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because when you multiply the fraction and add them yo get 11/15
True_Correct
null
24,625
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because when you use the butterfly method.1x5 + 2x3 over 3x5
True_Neither
null
24,626
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you can convert 1/3 and 2/5 into fractions with a denominator of 15 so 5/15+6/15 is equal to 11/15.
True_Correct
null
24,627
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you can convert them both into 15ths so that would be 5/15 + 6/15 and that equals 11/15
True_Correct
null
24,628
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you change the denominator into 15ths and then do to the numerator what you did to the denominator to get it to 15ths
True_Correct
null
24,629
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you change the denominators into fifteen and then add them up which equals to 11/15.
True_Correct
null
24,630
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you convert the denominator to 15
True_Neither
null
24,631
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you do 1/3x5=5/15 then 2/5x3=6/15 then 5/15+6/15=11/15.
True_Correct
null
24,632
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you do a smile and a kiss method so 3x5=15 so the denominator is 15 then you do 1x5=5 so that is 5/15 and 3x2=6 so that is 6/15 then add them together 5/15+6/15=11/15.
True_Correct
null
24,633
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you find a number that goes into both and then you times the top by the bottom.
True_Neither
null
24,634
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you first need to make the denominator the same by finding the lowest common multiple, which is 15. 1/3 would have to multiply by 5 to get 5/15, and 2/5 would have to multiply by 3 to get 6/15. now 5/15+6/15=11/15.
True_Correct
null
24,635
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you have to change them to the same denominator which would be 15 the equation would change to 5/15+6/15 which equals 11/15
True_Correct
null
24,636
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you have to convert the denominators into the same number(15 in this case) and then whatever you do to the top you do to the bottom
True_Neither
null
24,637
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you have to do the same to the numerator as the denominator.
True_Neither
null
24,638
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you have to find the lowest common multiple and what ever you do to the denominator you do to the numerator and 6+5=11 so its 11/15
True_Correct
null
24,639
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you have to find the smallest denominator which is 15 and you times 1 by 5 and 2 by 3 and add them together which is 11 and use the smallest denomimator .
True_Correct
null
24,640
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you have to have the same denominator which is 15 and then you find how much the numnrator goes in to 15 then you add them to get 11/15
True_Correct
null
24,641
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you have to make the fractions with the same denominator so they are 5/15 and 6/15 so then you add them together which makes 11/15.
True_Correct
null
24,642
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you have to turn 1 / 3 into 5 / 15 and 2 / 5 into 6 / 15 then add them together
True_Correct
null
24,643
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you have to turn 1/3 and 2/5 into the same denominator. you will get 5/15 and 6/15 which equals 11/15.
True_Correct
null
24,644
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you make it have a common denominator and then you factor the same to the numerator and then add them.
True_Neither
null
24,645
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you make the denominator 15 so 1 x 5 = 5 and 2 x 3 = 6 so 5 / 15 + 6 /15 = 11/15.
True_Correct
null
24,646
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you need both denominators the same. 15 is the closest. then it is 5/15 + 6/15 = 11/15
True_Correct
null
24,647
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you need to change the denominator to 15 so 1/3 would change to 5/15 and 2/5 would change to 6/15. if you add them together you will get 11/15 you can not simplify that because 11 is a prime number.
True_Correct
null
24,648
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you need to convert the denominators to a common denominator so i converted them to 15s so it would be 5/15 add 6/15 equals 11/15.
True_Correct
null
24,649
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you need to find a common denominator and then you add the fraction together
True_Neither
null
24,650
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you need to find the common denominator and then when you have added them both you need to see if you can simplify but you can't for this fraction
True_Neither
null
24,651
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you need to give the common denominator of 15. (1/3 x 5 = 5/15). (2/5 x 3 = 6/15) if you add the 2 numerators together you get 8/15.
True_Neither
null
24,652
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you need to make the denominators the same i.e. 15. 3 x 5=15 and 5 x 1=5. 3 x 2=6. add the numerators together, denominators stay the same.
True_Correct
null
24,653
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you need to multiply by 5 and 3 to ensure both 15, 5/15 +6/15 =11/15
True_Correct
null
24,654
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you need to simplify it first
True_Neither
null
24,655
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you times 1/3 by 5 and 2/5 by three and then you add your answer
True_Correct
null
24,656
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you times denominate 3x5 and 5x3 the same to the other one but for the numerator you times 1x5 ant 2x3
True_Correct
null
24,657
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you times the denominators together making 15 then times the top by the same and add the top together
True_Correct
null
24,658
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because, 3×5=15 & 2×3=6 1×5=5 6+5=11 so 11/15.
True_Correct
null
24,659
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because, first i found the common denominator, which in this case is 15, then i multiplied the numerator by the same number of their denominator (1x5) and (2x3) then added the numerators together which got me 11/15.
True_Correct
null
24,660
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because, you have to make the denominator the same, so i did 3x5 = 15 (the denominator) and then you would have to multiply 1 and 5 = 5, 2 x 3 = 6. then you add 5 and 6 which is 11 (the numerator). that means the fraction is 11/15.
True_Correct
null
24,661
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because,3x5=15 and 5x3=15 aswell,3 does not go into 5,15 is the one for both..5/15+6/15=11/15.
True_Correct
null
24,662
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this is 11/15 because the smallest like denominator is 15, and 5*3=15 and 2*3=6. 3*5=15 and 1*5=5 and the numerators are 5 and 6 5+6=11 so it is 11/15
True_Correct
null
24,663
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this is because 1/3 is the same as 10/30 and 2/5 are the same as 12/30. if you minus them both you get 22/30 which is the same as 11/15
True_Correct
null
24,664
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this is because 1/3 x 5 = 5/15 2/5 x 3 = 6/15 5/15+6/15 = 11/15
True_Correct
null
24,665
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this is because the least common multiple of 5 and 3 is 15 and to make 15, you have to multiply 1 by 5 which is 5, and multiply 2 by 5 which it 6.
True_Correct
null
24,666
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this is correct because i worked out in my hed then vairified it on my paper
True_Neither
null
24,667
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this is the answer because 1/3 is 5/15 and 2/5 is 6/15. 5/15 + 6/15 = 11/15.
True_Correct
null
24,668
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this is the answer because 1/3=5/15 2/5=6/15 and then 5/15 + 6/15 = 11/15
True_Correct
null
24,669
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this is the answer because 1/5 = 5/15 and 2/5 = 6/15. 5/15 + 6/15=11/15
True_Correct
null
24,670
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this is the answer because 3 and 5 don't go in the same times table so i did 3x5 or 5x3 which is 15 so the dinominator for both of them is 15. 1/3 would be: 5/15 and 2/5 would be 6/15, 5/15 + 6/15 = 11/15.
True_Correct
null
24,671
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this is the answer because 3 times 5 is 15 and 1 plus 2 is 3 so the answer is 3/15.
True_Misconception
Denominator-only_change
24,672
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this is the answer because i added them.
True_Neither
null
24,673
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this is the answer because i did the rhyme, criss cross apple sauce, in my head
True_Neither
null
24,674
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this is the answer because i worked it out and that was the answer that i got.
True_Neither
null
24,675
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this is the answer because if you find a common denominator which is 15 you would get 5/15 and 6/15. add them together and you get an answer of 11/15
True_Correct
null
24,676
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this is the answer because if you find the common denominator (which is 15) by multiplying the denominators by 5 and 3, you will have 5/15 and 6/15. add them together and you'll get 11/15.
True_Correct
null
24,677
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this is the answer because if you find the common denominator you will be able to add them
True_Neither
null
24,678
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this is the answer because if you times each number by either 5 or 3 you get 5/15 and 6/15 if you add those 2 together you get 11/15
True_Correct
null
24,679
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this is the answer because you convert these fractions and add them.you don't add the denominator
True_Neither
null
24,680
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this is the answer because you find the common denominator then what ever you get you do the same to the top then add the two tops togever
True_Neither
null
24,681
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this is the answer since 1/3 and 2/5 denominators aren't the same. the lowest common multiple of 3 and 5 is 15 so we would multiply the fractions to get a denominator of 15. 1/3 x 5 = 5/15 2/5 x 3= 6/15 this would modify the calculation into 5/15 + 6/15 5+6 = 11 therefore the answer would be 11/15.
True_Correct
null
24,682
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this is the correct answer
True_Neither
null
24,683
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this one because i work it out on paper
True_Neither
null
24,684
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think tis because when you change the numerators and denominators, you get 5/15 and 6/15, which when you add up, you get 11/15
True_Correct
null
24,685
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i tihink this because he common denominator is 15 and you must do the same to the top as you the top
True_Neither
null
24,686
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i timed the 3 and 1 by 2 then added 6 over 2 to 5 over
True_Neither
null
24,687
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i times both of the fractions to get the denominator as 15 and added them together
True_Correct
null
24,688
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i timesed 1/3 by 5 and 2/5 by 3 and added them together
True_Correct
null
24,689
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i timesed 1/3 by 5 and 2/5 by three it added up to 11/15
True_Correct
null
24,690
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i timesed the 1st fraction by 5 an the 2nd by 3 an added them
True_Correct
null
24,691
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i tink this because you need to find a common denominator of 15 so 1/3 to 5/15 then 2/5 would change to 6/15 then you add them to get 11/15 and that is the answer.
True_Correct
null
24,692
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i turned 1/3 into 5/15 and turned 2/5 into.6/15 and added them together
True_Correct
null
24,693
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i turned the denominator into 15 and multiplied 1 by 5 and 2 by 3 which equals 5+6 which is 11 so it is 11/15
True_Correct
null
24,694
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i turned the denominators into 15 and timesed 1 by 5 and 2 by 3 and 5+6=11/15
True_Correct
null
24,695
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i turned the fractions into 15ths than worked it out.
True_Neither
null
24,696
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i turned them into 5/15 and 6/15
True_Correct
null
24,697
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i used cross multiplication to work this sum out
True_Neither
null
24,698
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i used the method my teacher tought me
True_Neither
null
24,699
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i used the method criss cross apple sauce
True_Neither
null