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 |
|---|---|---|---|---|---|---|
25,100 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you find the lowest common denominator | True_Neither | null |
25,101 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you find the lowest common multiple of 3 and 5 then find the numerator and add across but the denominator stays the same. | True_Correct | null |
25,102 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you find the lowest denominator then add! | True_Neither | null |
25,103 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you first find the common denominater of both fractions then you times both fractions by the amount then you add them | True_Correct | null |
25,104 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you first have to find a common denominator, which is 15. then you see how many 3s go into 15, which is 5. then you times the numerator by 5, to go 5/15. you do the same process for the 2/5, which is going to end up with 6/15. you add them up to get 11/15. | True_Correct | null |
25,105 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you first have to get the same denominator | True_Neither | null |
25,106 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you first need to change the denominator to 15(same times tables) then times the numerator what you did to the denominator making it 5/15+6/15 | True_Correct | null |
25,107 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you first need to get a common denominator which is 15 by multiplying 3x5 5x3 which is the same then its 5x1 and 3x2 to get 5/15 and 6/15to get 11/15 not simplified | True_Correct | null |
25,108 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you get the denominator to be the same so then you do the same to the numerator then add them together | True_Neither | null |
25,109 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you get the same denominator which is 15 and whatever you do to the bottom you do to the top so then i added the new fractions and got 11/15. | True_Correct | null |
25,110 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you gotta have a common denominator | True_Neither | null |
25,111 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have got to find the common denominator which is 15 then times 1by 5 and 2 by 3 | True_Neither | null |
25,112 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to change the denominators | True_Neither | null |
25,113 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to change 1/3 into 5/15 and 2/5 into 6/15 and then add them together what is 11/15 | True_Correct | null |
25,114 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to change the bottoms to make them the same and also changing the tops then add the tops together. | True_Correct | null |
25,115 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to change the denominator and the numerator then add together the numbers and you would get your answer | True_Neither | null |
25,116 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to change the denominator to 15 | True_Neither | null |
25,117 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to change the denominator to 15 and you get 5 15 and 6 15 and they make 11 15 | True_Correct | null |
25,118 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to change the denominators so they are the same in this case it is 15 and then you times the numerators as well in this case you do 1x5 and 2x3 and them add your answers | True_Correct | null |
25,119 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to change the dinominator then times it | True_Neither | null |
25,120 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to change the dnomnatiors so that they are the same . | True_Neither | null |
25,121 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to change the fractions so the denominators are in the same x table. first you find the lcm of 3 and 5 which is 15. 1/3 third will become 5/15 and 2/5 will become 6/15 and add them together and the answer is 11/15 | True_Correct | null |
25,122 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to convert 3 and 5 into 15 and convert 2 to 6 and 1 to 5 so 5/15 + 6/5= 11/15 | True_Correct | null |
25,123 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to convert denominators into equal values, in this case their lowest common multiple would be 15, so the answer would be 5/15 plus 6/15 equals to 11/15 | True_Correct | null |
25,124 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to convert it into the same denomenator and x the top by what u x by the bottom | True_Neither | null |
25,125 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to convert the fractions in fifteenths and 6+5=11 | True_Correct | null |
25,126 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to convert the fractions so they both have the same denominator | True_Neither | null |
25,127 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to convert the fractions that have the same denominator which will be 15 and you multiply the numerator too so 1/3 is 5/15 and 2/5 is 6/15 and 5/15+6/15 is 11/15. | True_Correct | null |
25,128 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to convert them to equivalent fractions and 6/15 + 5/15 is 11/15 | True_Correct | null |
25,129 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to find a commen denominator then ad the numerator | True_Neither | null |
25,130 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to find a common denominator | True_Neither | null |
25,131 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to find a common denominator (15) which means you times 1 x 5 and 2 x 3. you can then add the numbers (11) but keep the denominator the same. | True_Correct | null |
25,132 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to find a common denominator first then add them up | True_Neither | null |
25,133 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to find a common denominator is 15 so you can x the numerator by the same number as the denominator
so it would be 5/15 + 6/15 = 11/15 | True_Correct | null |
25,134 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to find a common denominator. | True_Neither | null |
25,135 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to find other equal fraction | True_Neither | null |
25,136 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to find the common denominator and then add the two fractions together. | True_Neither | null |
25,137 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to find the common denominator which is 15 so you change the numerator so it matches. | True_Neither | null |
25,138 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to find the lcm. | True_Neither | null |
25,139 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to find the lowest common multiple | True_Neither | null |
25,140 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to find the lowest common multiple of both and then add them | True_Neither | null |
25,141 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to find the same denominator which is 15. so, the question transforms to 5/15 + 6/15 which is 11/15. | True_Correct | null |
25,142 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to first find a common denominator which is 15 and then covert the fractions and add them up. | True_Neither | null |
25,143 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to get the same denominator and times the top number the same as the bottom | True_Correct | null |
25,144 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to get them both to the same denominator and that would be 15 so do the same to the numerator | True_Neither | null |
25,145 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to have a common denominator | True_Neither | null |
25,146 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to have a common denominator. | True_Neither | null |
25,147 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to ind the commen denomenator | True_Neither | null |
25,148 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to make sure denominator the same and then add both the numerators together | True_Neither | null |
25,149 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to make the denominators equil so 15ths so 5/15 + 6/15 = 11/15 | True_Correct | null |
25,150 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to make the denominators the same and then add the numerators | True_Neither | null |
25,151 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to make the denominators the same which would be 15. so the problem is now 5/15+6/15=11/15 | True_Correct | null |
25,152 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to multiply each number to the lowest common multiple then times the numerater by the the same to get 11 over 15 | True_Correct | null |
25,153 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to multiply the 1/3 by 5 and the 2/5 by 3. then add them both up and you get 11/15. | True_Correct | null |
25,154 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to put both fractions over 15 | True_Neither | null |
25,155 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you have to times 1/3 by 5 and 2/5 by 3 to give you a denominator of 15. then 5/15+6/15=11/15 | True_Correct | null |
25,156 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you just find the lcd then you work it out | True_Neither | null |
25,157 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you just have to convert them then add them. | True_Neither | null |
25,158 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you make the bottom number the same then x the top number by however it took to get to that number then add them together | True_Correct | null |
25,159 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you make the denominater the same then times 3 by 5 =15 and 3 time 5 =15 so the answer is 11 over 15 | True_Neither | null |
25,160 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you make the denominator become 15 | True_Neither | null |
25,161 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you make the denominator to 15 and times 1 by 5 which is 5 and 2 by 3 which is 6 and 6+5=11 | True_Correct | null |
25,162 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you make them have the same denominator (5/15, 6/15), then add them together to make 11/15. | True_Correct | null |
25,163 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you make them to a common denominator | True_Neither | null |
25,164 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you multiply the denominators so u get 15.
5 x 3 = 15
1 x 5 = 5 | True_Neither | null |
25,165 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you must find a common multiple for the denominators so 5*3=15 and 3*5=15 then you do the numirators so, 2*3=6 and 1*5=5 so 6+5=11 so the answer is 11/15 | True_Correct | null |
25,166 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you must find the common denominator then times then numerator by how many times did you multiply to get fifteen | True_Neither | null |
25,167 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you must get the same denominator for each one then times the bottom number by top number on opposite fractions. | True_Correct | null |
25,168 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you need a common denominator - this is 15 as both 3 and 5 go into 15.
1/3=5/15 and 2/5=6/15.
add them together and you get 11/15 | True_Correct | null |
25,169 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you need a common denominator which is 15 so you covert, add and you get 11/15 | True_Correct | null |
25,170 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you need a common denominator.this is 15 because both 3 and 5 go into 15.
1/3= 5/15 and 2/5= 6/15
5/15 + 6/15= 11/15 | True_Correct | null |
25,171 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you need to change both fractions into 15ths to get 5+6 | True_Correct | null |
25,172 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you need to change the 1/3 and 2/5 to 1/3=5/15 2/5=6/15 so 5/15+6/15=11/15 | True_Correct | null |
25,173 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you need to convert 1/3 and 2/5 into 5/15 and 6/15 and add them together and that gives you 11/15 | True_Correct | null |
25,174 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you need to convert the denominator and times the numerator and then you get the answer. | True_Neither | null |
25,175 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you need to convert them first | True_Neither | null |
25,176 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you need to convert to a common denominator which is 15 and what you do to the top you do to the bottom. | True_Neither | null |
25,177 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you need to find a common denominator for 3 and 5 (15) and then you times the top number by the amount of times you timed the bottom number. and then you add | True_Correct | null |
25,178 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you need to find a common denominator which is 15 then for 2 over 5 you would have to times 2 by 5 which is 10 then add them together is 11 over 15 | True_Correct | null |
25,179 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you need to find the common multiple of 2 and 5 which is 15 so you use it to times the numerator which is eleven | True_Correct | null |
25,180 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you need to get the denominators the same | True_Neither | null |
25,181 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you need to make the denominator the same so i got 15 then you have to x the denominator and the nominator to get 11/15 | True_Correct | null |
25,182 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you need to make the denominators the same so it is 5/15 + 6/15 witch is 11/15 | True_Correct | null |
25,183 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you need to make the same denominator which is 15 so you do 1 x 5 = 5 then 2 x 3 = 6 then add them together. | True_Correct | null |
25,184 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you need to make them equivalent | True_Neither | null |
25,185 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you need to make them have the same denominator so times 3 and 1 by 5 and 5 and 2 by 3 to get: 5/15 and 6/15 then add them both to get 11/15 | True_Correct | null |
25,186 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you need to work out an even denominator wich rules out 11 30ths and 3 8ths so its ether 11\5 orr 3\5 | True_Neither | null |
25,187 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you put them both over 15 (as the denominator) | True_Neither | null |
25,188 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you round it up to the common denominator so that you can add | True_Neither | null |
25,189 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you see what number is in both the 5 and 3 times table which can be 15. 3x5=15 and 5x3=15 | True_Neither | null |
25,190 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you should turn them into fifteenths, which makes a thumb 5/15 + 6/15 which equals 11/15 | True_Correct | null |
25,191 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you think of a multiple that is the same as each other. | True_Neither | null |
25,192 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you times 3 and five to get fifteen and 1x 5 and 2 times five then add them together | True_Neither | null |
25,193 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you times 3 by 5 and then add them to get answer | True_Neither | null |
25,194 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you times 5 by 1 and 3 then times 3 by 2 and 5 which is 11 over 15 | True_Correct | null |
25,195 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you times the numerator and the denominator so the denominator is the same so then the calculation would be 5/15+6/15=11/15. | True_Correct | null |
25,196 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you times then add them to get answer | True_Neither | null |
25,197 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you turn the denominator into 15 so 5+6=11 which is the numerator | True_Correct | null |
25,198 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you use the bus stop methord | True_Neither | null |
25,199 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you would change 1/3 into 5/15 and you would change 2/5 into 6/15 add them = 11/15 | True_Correct | null |
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