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 |
|---|---|---|---|---|---|---|
24,100 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | denominator is 15 and times 1 by 5 and 3 by 2 | True_Correct | null |
24,101 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | denominator is 15 because 3 and 5 is prime number, answer is (1*5 + 2*3) / 15 = 11/15. | True_Correct | null |
24,102 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | denominator is 15. multiply by three and five.
5/15 + 6/15 = 11/15 | True_Correct | null |
24,103 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | denominator stays the same
multiply both denominators to find same number and do same to numerator | True_Neither | null |
24,104 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | denominators must be the same
you multiply the top and the bottom | True_Neither | null |
24,105 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | do the lcm. then times the numerator and add the fractions | True_Correct | null |
24,106 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | do the same to the denominator and the numerator | True_Neither | null |
24,107 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | do the same to the top and the bottom and only times and divide | True_Neither | null |
24,108 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | do the simple adding fractions method | True_Neither | null |
24,109 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | do ur lowest common multiple then do 5 15 and 6 15 is 11 15 | True_Correct | null |
24,110 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | don't know how to explain this | True_Neither | null |
24,111 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find a common denominator by multiplying it by each other.
5/15 + 6/15 = 11/15 | True_Correct | null |
24,112 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find a common denominator then do the same to the top and then add the numerator | True_Neither | null |
24,113 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find a common denominator then multiply the numerator by what you did to the bottom then add them together. | True_Correct | null |
24,114 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find a common denominator, and then add the fractions | True_Neither | null |
24,115 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find a common denominator, then equivalent fractions, then add | True_Correct | null |
24,116 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find a common multiple, in this case 15, and you can then work out what the numerators would be and add them together. | True_Correct | null |
24,117 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find a demonator that both go into (15) then times the demonimator by however many to get to that number they both go into
then add the numerator togehter | True_Neither | null |
24,118 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find a number both the denominators go into which is 15 times the numerators by what you times the denominators then add them | True_Correct | null |
24,119 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find common denominator (15), times bottom 1/3 by 5 (becomes 5/15), and times 2/5 by 3 (becomes 6/15) .add 5/15 and 6/15 = 11/15 | True_Correct | null |
24,120 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find common denominators and times the numerator by which ever number the denominator was multiplied by. then add then numerators | True_Correct | null |
24,121 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find common denominators= 5 over 15 and 6 over 15 | True_Correct | null |
24,122 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find lcd which is 15 and 15 divided by 5 is 3 so 2 x 3 is 6/15 + 5/15 | True_Correct | null |
24,123 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find the common denominator and add the numerator | True_Neither | null |
24,124 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find the common denominator and add them | True_Neither | null |
24,125 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find the common denominator and then round up the numbers | True_Neither | null |
24,126 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find the common denominator in this case it works be (15), because you times the denominator you also have to times the numerators | True_Neither | null |
24,127 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find the common denominator then add together | True_Neither | null |
24,128 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find the common denominator then times the top by what you multiplied the bottom with to get the denominator | True_Neither | null |
24,129 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find the common denominator which is 15
5 x 1 = 5
so 5/15
2x 3 = 6
so 6/15
add together to get 11/15 | True_Correct | null |
24,130 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find the common denominator which is 15 then times the numerators appropriately to get 5/15 and 6/15 added together is 11/15 | True_Correct | null |
24,131 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find the common denominator, do the same to the top as the bottom | True_Neither | null |
24,132 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find the common denominator- the lowest being 15- to each fraction - 1 x5 = 5 = 1/3=5/15 and 2/5 = 6/15, then add numerators = 11/15 | True_Correct | null |
24,133 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find the denominator then add the numerator | True_Neither | null |
24,134 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find the lcm (lowest common multiple) of 3 and 5 (15). then multiply the numerator and denominator by 5 and 3 and you will get 5/15 + 6/15. that will equal 11/15 | True_Correct | null |
24,135 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find the lcm add across then you get 11/15 and this fraction can not be simplified | True_Neither | null |
24,136 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find the lcm of both denominators and multiply the numerators by the same numbers. then ust add numerators as normal | True_Correct | null |
24,137 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find the lowest common multiple and times the numerator by the same | True_Neither | null |
24,138 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find the lowest common multiple in 3 and 5 and then multiply the numerator | True_Neither | null |
24,139 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find the lowest common multiple of the two denominators and multiply the numerator by how much you multiplied for the denominator and then add the numerator together for the answer. | True_Correct | null |
24,140 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find the same denominations than add the numerator | True_Neither | null |
24,141 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find the same denominator which is 15 then you times the 1 by 5 then the 2 by 3 then you add up the numerators. | True_Correct | null |
24,142 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | find the smallest common multple of 3 and 5 which is 15 and turn the denomenator into 15 then change the numerator and times it by how many times you times the denomenator to make it 15. | True_Neither | null |
24,143 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | finding the common multiple, which is 15. 3 x 5 = 15, 1 x 5 = 6, same for the other fraction. adding them together equals 11 over 15. | True_Correct | null |
24,144 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | first convert 1/3 into 5/15 and 2/5 into 6/15 5+6=11 so 5/15+6/15=11/15 | True_Correct | null |
24,145 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | first i converted 1/3 into 5/15 and 2/5 into 6/15 and then i added them together which got me 11/15. | True_Correct | null |
24,146 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | first make the demoniaters even and then add the numerators together but leave the deminater the same | True_Neither | null |
24,147 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | first of all i found the common denominator which was 15. then i timed the numerator by how many times it took until it equaled 15. then i added them together the denominator and numerator to find the answer. | True_Correct | null |
24,148 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | first of all i would put both fraction into the same denominator (1x5 and 3x5=5/15 and same for the other one)then add them | True_Correct | null |
24,149 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | first of all you have to find the lowest common multiple of three and five which is 15 then you are times the one by five and 3×2 to get the answer of 5/15 and 6/15then yiu add the, together | True_Correct | null |
24,150 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | first of all, you need to enlarge the fractions so that they have a common denominator ( in this case, it is 15). this equation, then equals 5/15 + 6/15 which equals 11/15. this is your answer because you can not simplify it any further. | True_Correct | null |
24,151 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | first u change the bottom to the lcm 15 then 5 + 6 = 11 | True_Correct | null |
24,152 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | first we have to equalise the denomonators which will be 1x5/3x5 + 2x3/5x3 which equals to 5/15 + 6/15 which equals to 11/15 | True_Correct | null |
24,153 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | first we would need a common denominator to add both fractions, which is fifteen. that means we times 3 x 5 for 15(denominator) and 1 x 5(numerator) and for the latter, 5x3=15 and 2x3 =6 and so 6 + 5 = 11 which means 11/15 | True_Correct | null |
24,154 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | first you have to make the denominators the same. if you make the bottom 15 then the numerators would be 5 and 6. when you add these together you get 11. so the fraction would be 11/15. | True_Correct | null |
24,155 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | first you make the denominators the same, both 15. then the numerators must be multiplied so now we have
5/15 and 6/15 we add them together and we get 11/15 | True_Correct | null |
24,156 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | first you need to find a common denominator which is 15. then you need to multiply the fractions to get 15 and then add the fractions together. this gave me an answer of 11/15 | True_Correct | null |
24,157 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | first you need to have the same denominator and then add then up | True_Neither | null |
24,158 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | first you see what both denominators are in and see how much the numerators go up. then add the numerators together and keep the denominator the same. | True_Neither | null |
24,159 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | first you times the denominator then you times the top which would give you 5/15 + 6/15 would then equal to 11/15 | True_Correct | null |
24,160 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | first, i made the denominator the same by finding a common multiple in 3 and 5.
1/3 + 2/5 = 1/15 + 2/15
when doing this, i times both numbers by a certain amount, so i need to times the numerator by the same amount as i did for the denominator.
5/15 + 6/15 = 11/15.
i cant simplify it so that would be my final answer. | True_Correct | null |
24,161 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | first, you find the lcm which is 15 and you change the fractions into fifteenths. 6/15 + 5/15 = 11/15 and 11/15 cannot be simplified as 11 is a prime number. | True_Correct | null |
24,162 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | first, you must find the common multiple of the denominators 3 and 5 which is 15. 3x5=15. 1/3 x 5= 5/15. 2/5 x 3= 6/15. 6/15+5/15=11/15. | True_Correct | null |
24,163 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | first,you turn the denominators into 15 because this number is the common denominator.next,you times the numerators by 5 and 3 to get the numbers you need to add.lastly,you add the two numerators together to get 11.therefore,the answer is 11/15. | True_Correct | null |
24,164 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | firstly you make sure the common denominator is the same, hence 1/3= 5/15 + 2/5=6/15
therefore 5/15+ 6/15 = 11/15. | True_Correct | null |
24,165 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | firsy i found the lowest common multiple. then i did 1x5 and 2x3. after that i added them up. | True_Neither | null |
24,166 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | for addiction and subtraction you need the same denominator so then is hanged the denomination into 15 and whatever you do not o the bottom you do th sam ego the top so then i had 5/15 add 6/15 which got me 11/15 | True_Correct | null |
24,167 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | for this question because the denominator is different, i will multiply 1/3 by 5 and 2/5 by 3 to get the same denominator of 15 and after that it would be easy maths because it would be 5/15 and 6/15. giving me 11/15 | True_Correct | null |
24,168 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | for this question, i found the common denominator of 15 and made the fractions equal in tern=ms of denominator to be able to do my calculation which gave me an answer of 11/15. | True_Correct | null |
24,169 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | found the common denominator and added the numerators | True_Neither | null |
24,170 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | found what 3 and 5 go into which was 1 5then done what i did to get 15 to the numerator then added them together | True_Neither | null |
24,171 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | get both bottom numbers the same | True_Neither | null |
24,172 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | get teh denominator to be equal, it is 15, but you also have to multiply teh numirator as well so 1*5 and 2*3 this is all equal to 11/15 | True_Correct | null |
24,173 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | get the bottom numbers the same | True_Neither | null |
24,174 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i think it's d because if you convert the numerator and the denominator into 15ths you get 5/15 and. 6/15 add them together 11/15 | True_Correct | null |
24,175 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i added the two fractions together | True_Neither | null |
24,176 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i am just guessing because i did 1/3 into 5/15 and 2/5 into 10/15 and added them together which is 15/15 but i didn't understand what to do next | True_Neither | null |
24,177 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i am not sure how to explain it but i think that this is the right answer | True_Neither | null |
24,178 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i am too lazy to write | True_Neither | null |
24,179 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i answered d because 1 third is equivalent to 5 fifthtenths and 2 fifths are equivalent to 6 fifthtenths. | True_Correct | null |
24,180 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i answered d because 1/3 is the same as 5/15, and 2/5 is the same as 6/15, and 5/15 plus 6/15 is 11/15, therefore the answer. | True_Correct | null |
24,181 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i answered d because the lowest common denominator for 3 and 5 is 15 and when you add them together once they have been put over the lowest common denominator, you get 5/15 + 6/15 which makes 11/15 | True_Correct | null |
24,182 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i answered this because 1/3=5/15 2/5=6/15 5/15+5/15=11/15 so that would be the answer. | True_Correct | null |
24,183 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i believe the correct answer is d, because when adding fractions you must change and ensure both denominators are equivalent. when doing this you would need to multiply the same amount to the fraction's denominator and numerator. therefore, when both denominators are changed to 15 the formula would be 5/15 + 6/15 which equals to 11/15. | True_Correct | null |
24,184 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i calculated this because 5 + 6 = 11 so 11 / 15 | True_Correct | null |
24,185 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i calculated this using my knowledge of conversion and lowest common multiples | True_Neither | null |
24,186 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i can work out that 11/15 is the answer | True_Neither | null |
24,187 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i change the denominator so there both egual to allow you to times which was 15 and then times the numerators by the same amount to make it fair | True_Correct | null |
24,188 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i changed 1/3 and 2/5 into 5/15 and6/15 then added them and i got 11/15 | True_Correct | null |
24,189 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i changed 2/5 to 6/15. then 1/3 to 5/15 to find the common denominator which is 15. then 6 add 5 is 11, so 11/15. | True_Correct | null |
24,190 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i changed my answer because i realised i didn't follow the rule of do the same as what you do to the denominator i the numerator | True_Correct | null |
24,191 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i changed the denominator and numerator and added it | True_Neither | null |
24,192 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i changed the denominator and then worked it out | True_Neither | null |
24,193 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i changed the denominator to 15 then multiplied 5x1 and 2x3 then add them together to equal 11 | True_Correct | null |
24,194 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i changed the denominator to 15. | True_Neither | null |
24,195 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i changed the denominator to be the same number in both fractions which was /15. then i did the same sum to the top numbers. then i added them together. | True_Correct | null |
24,196 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i changed the denominator to the same | True_Neither | null |
24,197 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i changed the denominators to 15 times the 1 by 5 and the 2 by 3 | True_Correct | null |
24,198 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i changed the denominators to make it the same and multiplied the numerators to make it even then added the fractions. | True_Correct | null |
24,199 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | i changed the fractions to 5/15+6/15=11/15 to have a common denominator | True_Correct | null |
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