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
24,000
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
because you need to convert them both to 15ths and then add them together
True_Neither
null
24,001
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
because you need to convert thme into fifteenths then add the top numbers to gether
True_Correct
null
24,002
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
because you need to make the denominators equal before you add them
True_Neither
null
24,003
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
because you need to make the denominators the same = 15 and 1x5=5 and 2x3=6 and 5+6=11 so it would be 11/15
True_Correct
null
24,004
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
because you need to make them the same denominator which is 5/15add 6/15 it equals 11/15
True_Correct
null
24,005
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
because you need to smiplify it
True_Neither
null
24,006
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
because you time both the denominator and the numerator, so 5x3 2x3 and 3x5 and 1x5
True_Correct
null
24,007
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
because you time each number and then add the top two because the denominator is the same
True_Neither
null
24,008
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
because you times 1/3 by 5 and then 2/5 times 3 so you then you get the same bottom number and then you just add the top numbers
True_Correct
null
24,009
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
because you times 3 and 5 to get the same denominator
True_Neither
null
24,010
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
because you times 3 by 5 to get 15 so you need to times 1 times 5 and 2 times three.
True_Correct
null
24,011
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
because you times everything by three and then add the numerators
True_Neither
null
24,012
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
because you turn them both into 15ths and that is your answer
True_Neither
null
24,013
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
because you would convert the denominator into 15
True_Neither
null
24,014
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
because you would need to change each fractions denominator to 15 and change the numerator and add the 2 fractions to get the answer
True_Correct
null
24,015
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
because you x 1/3 by 5 and 2/5 by 3
True_Neither
null
24,016
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
because, the denominator both equals to 15 and when 3 times 5 equals t 15 you have to time the numerator of the fraction with the same number do the same thing to the other one and you just plus them together.
True_Correct
null
24,017
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
because,1/3 = 5/15 and 2/5 = 6/15 . you add them together which will equal 11/15
True_Correct
null
24,018
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
becausse 3 and 5 go in to 15
True_Neither
null
24,019
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
becquw 3 ion think it is
True_Neither
null
24,020
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
becuase i made them into 15ths and then added them
True_Correct
null
24,021
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
becuase times them both to make the denominators the same so you would make them 15 then add the top numbers together
True_Neither
null
24,022
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
becuse you find the comen multiple of the denominater which is 15
True_Neither
null
24,023
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
both numbers go into 30 so you do 1/3 x 10 = 10/30 and 2/5 x 6 = 12/30 then you add 10/30 + 12/30 = 22/30 = 11/15
True_Correct
null
24,024
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
both numerators times the same amount as denominators
True_Neither
null
24,025
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
both the denominators have to be the same. 3 & 5 are both factors of 15 so i times 1x3 and 3x5 and i times 2x3 and 5x3. which gives me 5 over 15 + 6 over 15 which gives me a final answer of 11 over 15
True_Correct
null
24,026
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
by finding the common denominator which is 15, we multiply 3 by 5 and 5 by 3, so 1 gets mutiplied by 5 and 2 by 3 which gives us 11 over 15
True_Correct
null
24,027
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
calculated mentally but im not quite sure im correct
True_Neither
null
24,028
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
cause i made it so they had the same denominater
True_Neither
null
24,029
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
change 1/3 to 5/15 then change 2/5 to 6/15 then add them together to get 11/15
True_Correct
null
24,030
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
change both the bottom number to 15. to get from 3 to 15 you times by 5 so you do the same with the top. same thing with 2/5 =11/15
True_Correct
null
24,031
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
change demominator on both to 15. so times 1/3 by 5 and 2/5 by three so you have 5/15 and 6/15. 5+ 6 = 11 so 11/15 is the answer
True_Correct
null
24,032
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
change denominators to 15 then multiply the numerator by 5 then add them
True_Neither
null
24,033
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
change into 15ths and then add
True_Neither
null
24,034
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
change it to a common denominator then add the numerator
True_Neither
null
24,035
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
change the denominaters to 15 1 x 5 2 x 3
True_Correct
null
24,036
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
change the denominator of each fraction to 15 so it would change to 5 over 15 and 6 over 15 when added together it makes 11 over 15
True_Correct
null
24,037
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
change the denominator then times the top like you did with the bottom and add them up
True_Correct
null
24,038
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
change the denominator to 15ths. then you will get 5/15 + 6/15.
True_Correct
null
24,039
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
change the denominators to 15 then change the denominator to what ever you have x it by then add the numonitors together
True_Correct
null
24,040
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
change the denominators to 15 then do 1 x 5 and 2 x 3 add them together which equals 11
True_Correct
null
24,041
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
change the denominators to the nearest factor or multiple and then add them together...
True_Neither
null
24,042
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
change the denominators to the same
True_Neither
null
24,043
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
change the fractions so they have the same denominater and add them together. 5/15+6/15=11/15
True_Correct
null
24,044
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
change them both into fifteenth and then added them.
True_Neither
null
24,045
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
change them to fifteenth them add them together.
True_Neither
null
24,046
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
changed the denominator into 15'ths and then worked it out from there .
True_Neither
null
24,047
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
changing both of the fractions to be over 15 gives us 5/15 + 6/15 5+6 is 11 11/15
True_Correct
null
24,048
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
cinvert them to the lcm and add them
True_Neither
null
24,049
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
common denominator and multiply the numerators
True_Neither
null
24,050
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
common denominator has to be 15
True_Neither
null
24,051
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
common denominator is 15 so that’s 5/15 plus 6/15
True_Correct
null
24,052
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
common denominator is 15. 1/3 in 15s is 5/15. 2/5 in 15s is 6/15. 5 + 6 = 11
True_Correct
null
24,053
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
common denominator is 15. 3 x 5 = 15, 2 x 6 = 15
True_Neither
null
24,054
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
common denominator is 15. making the sum 5 over 15 + 6 over 15 which is = 11 over 15
True_Correct
null
24,055
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
common denomonator is 15. 1/3 turns into 5/15. 2/5 turns into 6/15. 5/15 + 6/15 = 11/15
True_Correct
null
24,056
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
common multiple of both 3 and 5 is 15 so the denominator becomes 15 the sum is now; 5/15+6/15= 11/15
True_Correct
null
24,057
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
con vert the denom then numer
True_Neither
null
24,058
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
convert 1/3 to 5/15 and 2/5 into 6/15 then add it together and it makes 11/15
True_Correct
null
24,059
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
convert 1/3 to 5/15 and 2/5 to 6/15 then add them up
True_Correct
null
24,060
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
convert 1/3 to 5/15 plus 2/5 witch converts to 6/15 and plus together is 11/15
True_Correct
null
24,061
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
convert 3 and 5 into 15 then 1/3 will become 5/15 then you covert 2/5 into 6/15 then add =11/15
True_Correct
null
24,062
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
convert each one so they are out of 15 so 1x5=5 (5/15) and 2x3=6 (6/15) so 5+6=11 so its 11/15 (d)
True_Correct
null
24,063
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
convert into 15ths 1 3rd would = 5 15ths and 2 5ths would = 6 15ths
True_Correct
null
24,064
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
convert it to 5 15ths and 6 15ths which would be 11 over 15
True_Correct
null
24,065
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
convert the dominator of both numbers and you can use the denominator of 15 and the numerators become 5 and 6 which add up to 11
True_Correct
null
24,066
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
convert them both to a common denomitor and then add the numerators
True_Neither
null
24,067
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
convert them into 15ths and add them.
True_Correct
null
24,068
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
converted them both to 15 and added the numerator
True_Neither
null
24,069
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
converting the fractions to a common denominator gives 15 as the new denominator and 5 + 6 = 11 as the numerator
True_Correct
null
24,070
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
cross method and find common denominator=15
True_Neither
null
24,071
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
cross multiplication gives you the fractions 5/15 and 6/15 and em up and you get 11/15
True_Correct
null
24,072
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
d as i picked a number that goes into the 5 and 3 times table.the number is 15. then 1×3 and 2×3 and then carry on
True_Correct
null
24,073
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
d as you have to find the denominitor which is 15 then you can add it
True_Neither
null
24,074
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
d beacue 3x5 is 15 the times the numerator by 5 which is 5/5
True_Neither
null
24,075
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
d because you change both denominator and × the top by what you × the bottom and add themail you get 11/15
True_Correct
null
24,076
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
d because 1/3 into 15th is 5/15 and 2 into 15th is 6/15 add 6 and 5 is 11/15
True_Correct
null
24,077
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
d because 1/3 is 5/15 and 2/5 is 6/15 so 5/15 plus 6/15 is 11/15
True_Correct
null
24,078
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
d because 1/3=5/15 & 2/5=6/15 then 6/15+5/15=11/15 so the answer is d
True_Correct
null
24,079
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
d because first i changed the denominator to 15 then i changed the numerator and i got 5/15 and 6/15 then added it together and i had 11/15
True_Correct
null
24,080
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
d because i made the denominators the same what was 15
True_Neither
null
24,081
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
d because if you convert both fractions into 15ths you get; 1/3=5/15 and 2/5=6/15 the add the numerators you get 11/15 and that can't be simplified.
True_Correct
null
24,082
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
d because if you plus it it equals that
True_Neither
null
24,083
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
d because if you turn them into 15ns you will get 5 over 15 add 6 over 15 and 5+6 is 11
True_Correct
null
24,084
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
d because that is the answer
True_Neither
null
24,085
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
d because that is what you get if you actually add the two fractions together.
True_Neither
null
24,086
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
d because the denominator is 15 and 5+6=11
True_Correct
null
24,087
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
d because the lowest common denominator is 15 , so that rules out a and c and 1/3 converted into /15 is 5/15 , so both of them added together isn't 3/15 , so it can only be d.
True_Neither
null
24,088
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
d because the lowest common multiple of 3 and 5 is 15 so 1/3 is 5/15 2/5 is 6/15 so 5/15 + 6/15 = 11/15 and 11/15 cannot simplify so that is the answer
True_Correct
null
24,089
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
d because when i worked it out, my answer was 11/15.
True_Neither
null
24,090
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
d because you are using your times tables
True_Neither
null
24,091
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
d because you can rule out the others.
True_Neither
null
24,092
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
d because you have to change it to the same denominator
True_Neither
null
24,093
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
d because you have to find a common denominator which is 15. 5/15+6/15=11/15.
True_Correct
null
24,094
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
d because you just have to convert them then add them.
True_Correct
null
24,095
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
d is the correct answer because 1/3 + 2/5 = 11/15
True_Neither
null
24,096
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
d is the correct answer because we take 15 as a common denominator which is going to equal 11/15
True_Neither
null
24,097
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
d, if you make all of them into 15ths 5 add 6= 11
True_Correct
null
24,098
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
denominator has to be 15 to add both numerators together🌮
True_Neither
null
24,099
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
denominator is 15 1/3 is 5 and 2/5 is 6 plus then to get d
True_Neither
null