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 |
|---|---|---|---|---|---|---|
25,200 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you would change your denominator to 15 then change your numerator. then you add both numerators together. | True_Correct | null |
25,201 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you would convert them is to 1/15 because thats the lowest common multipal and so ya | True_Neither | null |
25,202 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you would find a common denominator which is 15 1x5=5 2x3=6 6+5=11 so the answer is d 11/15 | True_Correct | null |
25,203 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you would first have to change both of the denominators so they are the same and then times the numerator with how many times you did at the bottom then add them. | True_Correct | null |
25,204 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you would get the commen denometor of 15 an times 2/5 by 3 and 1/3 by 5 to get 11/15. | True_Correct | null |
25,205 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | you'd change them both to fifteenths and the total of that is 11/15 | True_Correct | null |
25,206 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{15} \) | your answer has to have the same denominator and to do that you have to change the top and the bottom | True_Correct | null |
25,207 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | 1 / 3 times 5 equals 5 - 1/15 and 2 /5 times 3 equal 6 -15. so if you add them together, it will equal 11 /15. | False_Correct | null |
25,208 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | 1/3 = 5/15, 2/5 = 6/15; 5-15 + 6-15 = 11/15 | False_Correct | null |
25,209 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | 1/3 is equal to 5/15 and 2/5 is equally to 6/15. | False_Neither | null |
25,210 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | 1/3 is equal to 5/15 and2/5 is equal to 6/15 | False_Neither | null |
25,211 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | 1/3 times 5 equals 5/15 and 2/5 times 3 equals 6/15 so if you add them together, it will equal 11/15. | False_Correct | null |
25,212 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | 1/3x2/5= 11/15.u do 5x1/3=5/15 then u add 5/15+6/15=11/15 | False_Correct | null |
25,213 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | 15 in the five times table and the same in three times it's 15 times 15 and then you add it. | False_Neither | null |
25,214 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | 15 is the common number, 3x2 is 6, 1x5 is 5, 5+6 is 11, 11 is what you get when you multiply 11 by 15 = 15. | False_Neither | null |
25,215 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | 15 is the lowest common denominator and 5 +6 = 11 | False_Correct | null |
25,216 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | 15 is the lowest denominator and 5 +6=11 | False_Neither | null |
25,217 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | 3 - 15 = 3 and 5 lcm is 15 so then 1 + 2 = 3. 3 + 15 is 3 so 3-15 is -15. | False_Neither | null |
25,218 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | 3 and 5 lcm is 15 so then 1 + 2 = 3 so its 3
-
15 | False_Misconception | Denominator-only_change |
25,219 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | 3 x 5 equals 15 add 15 and 15 together to get 30 | False_Neither | null |
25,220 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | 3 x 5 equals 15 add 15 and 15 together to get 30 | False_Misconception | Incorrect_equivalent_fraction_addition |
25,221 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | 3x5=15 so you do 3 times 5 then 5 times 3 and then add the numbers together. | False_Misconception | Denominator-only_change |
25,222 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | 3x5=15 so you do 3x5 then 5x3 and then add the numeraters together | False_Neither | null |
25,223 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | Because the bottom number was a factor of 15 on both, so i then saw how many times the number went into the smaller number and got 11/30. | False_Neither | null |
25,224 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | Firstly, i found the common denominator which was 15 and then figured out 515 + 630 to get my andwer of 11. | False_Neither | null |
25,225 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | I did my bedt to think it out in my head. | False_Neither | null |
25,226 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | I did my best to think it out in my head. | False_Neither | null |
25,227 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | I found a common denominator which was 15 then added them all together to get the answer | False_Neither | null |
25,228 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | I found out the common denominator of 15 then I did 1 x 5 to get 5 then i did 2 X 3 toget 6. 6 + 5 is 11. | False_Neither | null |
25,229 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | I know think this because you need to change the denominators are different so you change them to 15 and you do 2x3=6 and 1x5=5 and then they are your numbers. | False_Neither | null |
25,230 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | I think it is 11/15 because, 3 and 5 don't go in the same times table, so I did 5 x 3= 15, so the denominator is 15, and you divide both by each other, then you have 11 - 3 = 5. | False_Neither | null |
25,231 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | I think it is this one because 15 times 2 equals 15 so that is why it would be 11 30. | False_Misconception | Incorrect_equivalent_fraction_addition |
25,232 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | I think the answer is c because 1/3 is 5/15 and 2/5 is 6/15. Adding them together gives you 11/15, which is too difficult to simplify. | False_Correct | null |
25,233 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | I think this because i found a common denominator of 15, thenn we multiply 1x5=5 and 2x3=6. | False_Neither | null |
25,234 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | I think this is because 3 and 5 have a lcm of 15 15/3=5 15/5=3 5+2(3)=+5+6=11 | False_Neither | null |
25,235 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | I'm not too sure about fractions | False_Neither | null |
25,236 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | If thr numbers are written in the order from greatest to least common denominator then the sum of the first five digits is five times the sixth – five plus six equals eleven. | False_Neither | null |
25,237 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | If you convert both of them unto 15s, you get 1/3=5/15 and 2/5=6/15, so 5/15+6-15=11/15. | False_Correct | null |
25,238 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | It was closrst to what my other answer was. | False_Neither | null |
25,239 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | Make the bottom the same and just add the top. | False_Misconception | Denominator-only_change |
25,240 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | Since the common drnominator is 15, and it makes 11, then the whole number is 11. | False_Neither | null |
25,241 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | Sincee 3*2=6 and 5*1=5 so it would be 11/15. | False_Neither | null |
25,242 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | So 1 timess 5 = 5 2 times 3 = 6 5+6=1 so its 11/15 | False_Correct | null |
25,243 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | So whatever you do to the denominator you will do the numerator. | False_Neither | null |
25,244 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | So you have to make the common denominator, which is 30, then 1 plus 2 is 3, then 30 divided by 2, which equals 9. So the answer is 9. | False_Neither | null |
25,245 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | The answer is c because 1/3 is 5/15 and 2/5 is 6/15 so when you add them together it is 11/15. | False_Correct | null |
25,246 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | The first thing you need to do is find the least common multiple which is 15 which you then need add 6/15 and 5/15 which will be 11/15. | False_Correct | null |
25,247 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | You fnd the closest denomter which is 15 | False_Neither | null |
25,248 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | You have to find the least common multiple and then you have 6/15 and 5/15 which is 11/15. | False_Correct | null |
25,249 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | as you find a common denominator and then add the numerators up | False_Misconception | Denominator-only_change |
25,250 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | bc i found a common donominator which was 15 then added them up to get the answer | False_Neither | null |
25,251 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | because 15 is the common denominator | False_Neither | null |
25,252 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | because 15 is the common denominator | False_Neither | null |
25,253 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | because 3 becomes 15 and so does 5. so, 1 becomes 5 and 2 becomes 6. add 5 and 6 its 11. denominators stay the same - 15 | False_Correct | null |
25,254 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | because 3*2=6 and 5*1=5 so it would be 11/15 | False_Correct | null |
25,255 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | because i know 3and 5 the common number is 15 and u see what u x the the bottom by and times the top by it and that's how i got my answer | False_Neither | null |
25,256 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | because if you convert them both into 15s you get 1/3=5/15 and 2/5=6/15 5/15+6/15=11/15 | False_Correct | null |
25,257 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | because the bottom number was a factor of 15 on both, so i then saw how many times the number went into the bottom number and got 11/30. | False_Misconception | Incorrect_equivalent_fraction_addition |
25,258 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | because the common denominater will be 15 so that makes the equation to 5/15 + 6/15 = 11/15. | False_Correct | null |
25,259 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | because the common denominator is 15 and it makes 11 | False_Neither | null |
25,260 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | because their lowest common denominator is 15 so they become 5/15 and 6/15 those added is 11/15 | False_Correct | null |
25,261 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | because their lowest common denominator is 15 so they become 5/15 and 6/15 those added is 11/15. | False_Correct | null |
25,262 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | because they both have thirty in there times tables | False_Neither | null |
25,263 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | because to make the same denominator you must find the nearest common multiple of 3 and 5 which is 15 and times 1 by 5 and 2 by 3 the answer is 11 over 15 | False_Correct | null |
25,264 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | because u do 1/3x2/5= 11/15.u do 5x1/3=5/15 then u do 3x2/5 that would =6/15 add 5/15+6/15= 11/15 | False_Correct | null |
25,265 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | because you have to find the common denominator | False_Neither | null |
25,266 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | because you turn the 2 fractions into ?/15 and then add them together. | False_Neither | null |
25,267 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | both can have the denominator of 15 because 3x5 is 15 and then 5x1 is 5 and 3x2 is 6 and 6+5 is 11 | False_Correct | null |
25,268 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | common number is 15, 3x2 is 6, 1x5 is 5, 5+6 is 11, 11/15 is the answer | False_Correct | null |
25,269 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | denominators stay the same - 15 | False_Neither | null |
25,270 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | find the common denominator for both fractions so its 15 for this question. 1/3 = 5/15, 2/5 = 6/15, 5/15 + 6/15 = 11/15 | False_Correct | null |
25,271 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | find the common denominator, which is 15, then times 3x? = 15, which will equal to five, and five times one equals to five. 5x? = 15, which is 3, and do 3x2 = 6. add the numerators together, but you do not need to add the denominators. 6+5 = 11 so the fraction will be 11/15 | False_Correct | null |
25,272 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | first, i figured out the common denominater of 15 then i did 1 x 5 to get 5 then i did 2 x 3 to get 6. 6 + 5 is 11. | False_Correct | null |
25,273 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | firstly, i found the common denominator which was 15. next, i did 5\15 + 6\15 to get me an answer of 11. | False_Correct | null |
25,274 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | for each number, you need to find the common denominator. for example, if the number of common factors is 2, you must find that the denuminators are 2, 2, and 4. | False_Neither | null |
25,275 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | i changed the denominators and added the numerators. | False_Misconception | Denominator-only_change |
25,276 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | i changed the denominators and addedd the numerators. | False_Neither | null |
25,277 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | i do not know how to explain how i got the answer | False_Neither | null |
25,278 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | i do not know how to explain how i got the answer. | False_Neither | null |
25,279 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | i know think this because you need to change the denominators are different so you change the denominators to 15 and you do 2x3=6 and 1x5=5 and then they are your numaratores | False_Neither | null |
25,280 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | i know this because a common denominator is 15 so then the calculation would be changed to 5/15 add 6/15 and the answer to that would be 11/15 my answer. | False_Correct | null |
25,281 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | i know this because a common denominator is 15 so then the calculation would be changed to 5/15 plus 6/15 and the answer to that would then be 11/15. | False_Correct | null |
25,282 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | i think it is 11/15 because, 3 and 5 don't go in the same times table so i did 5 x 3= 15 so the denominator is 15 and you divide both by each other so it would 5/15 and 6/15= 11/15. | False_Correct | null |
25,283 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | i think it is 11/30 because if you convert it into 5/15 + 6/15=11/30 | False_Misconception | Incorrect_equivalent_fraction_addition |
25,284 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | i think it is 11/30 because if youu convert it into 5/15 + 6/15=11/-30. | False_Misconception | Incorrect_equivalent_fraction_addition |
25,285 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | i think it is this one because 15 times 2 equals 15 so that is why it would be 11 30 | False_Misconception | Incorrect_equivalent_fraction_addition |
25,286 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | i think the answer is c because 1/3 is 5/15 and 2/5 is 6/15 so when you add them together it is 11/15 and you can't simplify them. | False_Correct | null |
25,287 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | i think this answer, because you have to find a common denominator, and when you have found it you can add the numbers - apart from the denominator because it's the same | False_Neither | null |
25,288 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | i think this because 3 and 5 have a lcm of 15
15/3=5
15/5=3
5+2(3)=5+6=11 | False_Correct | null |
25,289 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | i think this because 5x3=15 so you do 5x1=5 and 3x2=6 and 6 plus 5 is 11 so it would be 11/15 | False_Correct | null |
25,290 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | i think this because i found a common denominator 15. then we multiply 1x5=5 and 2x3=6 | False_Neither | null |
25,291 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | i think this because if you do something to the bottom you do the same to the top | False_Neither | null |
25,292 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | i think this because in the five times tables 15 is in it and the same in the three times tables and if you add | False_Neither | null |
25,293 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | i think this because, i multiplied the two bottom digits (3x5) and the top digits (1x2) and was left with the answer c. | False_Neither | null |
25,294 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | i think this because, i multiplied the two bottom digits (3x5) and the top digits (1x2) and was left with the answer c. | False_Neither | null |
25,295 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | i think this is because if you do something to thee bottom you will do the same to top. | False_Neither | null |
25,296 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | i tried my best to work it out in my head. | False_Neither | null |
25,297 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | if the common denominator is 15, then the equation is 5/15 + 6/15 = 11/15. | False_Correct | null |
25,298 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | if you make the bottom nuber 15 and add it it makes 11/15 | False_Neither | null |
25,299 | 33,472 | \( \frac{1}{3}+\frac{2}{5}= \) | \( \frac{11}{30} \) | if you make the bottom number 15 and add it it makes 11/15. | False_Correct | null |
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