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
24,400
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think id d because i think that is the correct answer.
True_Neither
null
24,401
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think it is 11/15 because i guessed
True_Neither
null
24,402
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think it is 11/15 because if you multiply 3x5 it is 15, so then 1x5= 5, 2x3= 6 so added them together gives us 11, so 11/15.
True_Correct
null
24,403
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think it is 11/15 because you would have to make them both have the same denominator so you would work out what times table they are both in witch is 15 then you would get 5/15 and 6/15 then you would add them together and get 11/15.
True_Correct
null
24,404
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think it is d because 3x5 = 15 and 1x5 = 5 and 2x3 = 6. meaning 6+5 = 11 over 15
True_Correct
null
24,405
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think it is d because i changed the denominator and the numerator making it all the same and the added 5/15 to 6/15 making the answer 11/15.
True_Correct
null
24,406
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think it is d because i have found a common dinominator and then found my answer.
True_Neither
null
24,407
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think it is d because if you make them equivalent to 15ths then it would be 5/15 + 6/15 so the answer would be 11/15
True_Correct
null
24,408
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think it is d because once you have converted both fractions so that the denominators are the same, 5/15 + 6/15 = 11/15!
True_Correct
null
24,409
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think it is d because you have to have the denominator the same.
True_Neither
null
24,410
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think it is d because you need to find a common denominator. i times the denominators by each other and then the numerator by the oppisisite denominator. this makes 5/15 and 6/15. because we have a common denominator we can add the numerators together to get 11/15.
True_Correct
null
24,411
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think it is d because you need to get the common denominator which is 15, then you need to know what your numerator is. so you times 3 by 5 it equals 15 and 1 times by 5 is 5, this is 5/15 . next you do 5times 3 and 2times 3. this is 6/15. finally i added 5/15 and 6/15 together: 11/15.
True_Correct
null
24,412
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think it is d because you would need to convert the denominator to 15, making it 5/15+6/15=11/15
True_Correct
null
24,413
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think it is d since it has the lowest common multiple
True_Neither
null
24,414
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think it will be this because if you change the denominators to 15, the sum will change to end up looking like this: 5/15 + 6/15= 11/15.
True_Correct
null
24,415
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think it's this because if you convert this it makes 5/15 add 6/15
True_Correct
null
24,416
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think its 11/15 because the lowest common multiple of 5 and 3 is 15 and 1/3 as 15th is 5/15 and 2/5 is 6/15 then added together is 11/15
True_Correct
null
24,417
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think its d since you are timsing the top by 5 and 3 so it cant be 3 over 15
True_Correct
null
24,418
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think it’s d because 1/3 is 5/15. 2/5 is 6/15. so the answer is 11/15.
True_Correct
null
24,419
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think that 11/15 is the answer because 1 x 5= 5 and 3 x 5=15. then you do 2 x 3= 6 and 5 x 3= 15. this leaves you with 5/15 + 6/15 which would equal 11/15.
True_Correct
null
24,420
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think that d is the correct answer because if you turn 1/3 into 5/15 and 2/5 into 6/15 then you add them together to get 11/15
True_Correct
null
24,421
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think that i am confdent with adding fractions
True_Neither
null
24,422
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think that it is 11/15 because you have to find a common denominator which is 15 and that got me 5/15 add 6/15 wich is 11/15 because you don't add the denominator
True_Correct
null
24,423
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think that it is d because i converted 1/3 to 5/15 and i also converted 2/5 to 6
True_Correct
null
24,424
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think that the answer is d because if you convert 1/3 into 15s then it would be 5/15 and 2/5 would be 6/15.
True_Correct
null
24,425
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think that the answer is d because is you make the denominator 15 than the numerators end up as 5 and 6 which is 11/15.
True_Correct
null
24,426
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think that the answer is d, because 1/3 + 2/5 with the same denominators is 5/15 + 6/15, making the answer 11/15. therefore, the answer is d.
True_Correct
null
24,427
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think that this is the answer because i converted them both into 15s (5/15 and 6/15) and then added these two numbers together.
True_Correct
null
24,428
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think the answer is 11/15 because i did 3x5 which is 15 so that was the denominator then 1x5= 5 then 2x3=6 so then i add them the answer will be 11/15
True_Correct
null
24,429
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think the answer is 11/15 because 1/3 converted = 5/15 and 2/5 converted = 6/15 so 5/15 + 6/15 = 11/15.
True_Correct
null
24,430
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think the answer is b because i found the lowest common multipule which was 15 then did the denomenators divide the numerators and my
True_Neither
null
24,431
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think the answer is d because 1/3 can also be written as 5/15, and 2/5 can be written as 6/15.the two fractions added together are 11/15.
True_Correct
null
24,432
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think the answer is d because by finding the common denominator (which is 15) and adding you get your answer.
True_Neither
null
24,433
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think the answer is d because i need to find the lowest common multiple of 3 and 5 which is 15. 1/3=5/15 and 2/5=6/15 and if you add those together, it equals11/15.
True_Correct
null
24,434
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think the answer is d because if you follow fraction and addition rules you get d
True_Neither
null
24,435
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think the answer is d because if you make 1\3 in to 15ths (x5) and do 2\5 into 15ths as well (x3) then you will get 5\15 and 6\15 then add them together (not the bottem numbers) and you will get 11\15
True_Correct
null
24,436
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think the answer is d because it is
True_Neither
null
24,437
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think the answer is this because i used the method we learnt in class
True_Neither
null
24,438
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think thid because 3 and 5 bith goe into 15. you do 3 times 2 which is 6 then you do 5 times 1 which us 5 and add them together to get 11.
True_Correct
null
24,439
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this answer because because the common denominator is 15 add the 5 and the 6 which is 11 you can't s simplify.
True_Correct
null
24,440
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this answer because i converted 1/3 and 2/5 into 15th the first answer is 5/15 and the second answer is 6/15 i add them together and it got me 11/15.
True_Correct
null
24,441
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this answer because i converted 1/3 into 15 (the common denominator) which would be 5/15 and then i converted 2/5 into 6/15 then i did 5/15+6/15=11/15 you can't simplify it because 11 is a prime number.
True_Correct
null
24,442
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this answer because you have to do 1x5=5 then 3x5=15 so it would be 5/15 then you would do the same to 2/5 which is 6/15 then add them which is 11/15.
True_Correct
null
24,443
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this answer because you have to find the equivalent denominator in 3 and 5 which is 15. so you would times 1/3 by 5 to get 5/15 then you times 2/5 by 3 to get 6/15. you add them together to get 11/15.
True_Correct
null
24,444
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this answer because you need to find a common factor of 3 and 5 then work out what it is from there.
True_Neither
null
24,445
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this answer is correct because i timesed the denominators together then converted the fractions then add.
True_Correct
null
24,446
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this answer is correct because i worked it out and this was the answer.
True_Neither
null
24,447
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this as a common multiple of 3 and 5 is 15 so you multiply 1 by 5 which is 5 and 2 by 3 which is 6. you then add 6 and 5 to get 11/15
True_Correct
null
24,448
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this becaus you do the same thing to the top as the because
True_Neither
null
24,449
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because lcm = 15 so 1/3 will be multiplied by 5 and 2/5 will be multiplied by 3 5/15 + 6/15 5 + 6 = 11 11/15
True_Correct
null
24,450
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because you have to make the botom numbers the same by seeing what tims tsble they go in then you have to add them up and you will get you answer.
True_Neither
null
24,451
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because (method shown in the book) to make the denominators equal you have to do 3x5 and same thing with numerators.
True_Correct
null
24,452
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 1 over 3 plus 2 over 5 have different denominators, which means you have to find the lowest common multiple of the denominators. however as you do this, you also have to times the numerator so it would equal, 5 over 15 plus 6 over 15 = 11 over 15
True_Correct
null
24,453
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 1/3 + 2/5 = 11/15 because 15 is the common denominator and 11/15 cannot be simplified.
True_Correct
null
24,454
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 1/3 + 2/5 is equal to to 5/15+6/15. that makes 11/15.
True_Correct
null
24,455
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 1/3 + 2/5 is the same as 5/15 add 6/15 which equals 11/15.
True_Correct
null
24,456
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 1/3 = 5/15 and 2/5 = 6/15 so if you add them together you would get a answer of 11/15.
True_Correct
null
24,457
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 1/3 = 5/15 and 2/5 = 6/15, when you add them together it equals 11/15, this is why i think the answer is 11/15.
True_Correct
null
24,458
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 1/3 = 5/15 and 2/5 = 6/15. 5/15 + 6/15 = 11/15.
True_Correct
null
24,459
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 1/3 =5/15 and 2/5 =6/15.
True_Correct
null
24,460
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 1/3 and 2/5 both need to be expanded to 15ths. 1/3 is equal to 5/15, and 2/5 is equal to 6/15. the denominator stays the same, but the numerators are added to together which is 11/15 in this case. however, 11 is a prime number so you can't simplify it. therefore, d is correct.
True_Correct
null
24,461
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 1/3 and 2/5 don't have the same denominator but the two both go into 15 1/3 would be 5/15 and 2/5 would be 6/15 add them to up would be 11/15
True_Correct
null
24,462
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 1/3 and 2/5 multiplied to make a common denominator would be 5/15 and 6/15. then you add together those fractions which would equal 11/15 because the denominators don't change with adding and subtracting.
True_Correct
null
24,463
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 1/3 and 2/5 ths lowest common denominator is 15. if you change 1/3 into 15 ths you get 5/15. 2/5 into 15 ths is 6/15 ths. 5/15ths + 6/15ths = 11/15 ths
True_Correct
null
24,464
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 1/3 becomes 5/15 and 2/5 becomes 6/15 and added together makes 11/15
True_Correct
null
24,465
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 1/3 goes to 15 so you get 5/15 add 6/15 witch gets you 11/15
True_Correct
null
24,466
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 1/3 into 15ths is 5/15 +6/15=11/15
True_Correct
null
24,467
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 1/3 is 5/15 2/5 is 6/15 so 5/15+6/15=11/15.
True_Correct
null
24,468
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 1/3 is equal to 5/15 and 2/5 is equal to 6/15
True_Correct
null
24,469
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 1/3 is equal to 5/15 and 2/5 is equal to 6/15 so 5/15 + 6/15 = 11/15
True_Correct
null
24,470
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 1/3 is equivalent to 5/13 and 2/5 is equivalent to 6/15. so 5/13+6/15=11/15. i made 15 the denominator because that is the lcm of 3 and 5.
True_Correct
null
24,471
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 1/3 is equivalent to 5/15 and 2/5 is equivalent to 6/15 so if we add them up it is 11/15. a is wrong because they added across, b only found 1/5 and c changed the denominator.
True_Correct
null
24,472
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 1/3 is the same as 5/15 and 2/5 is the same as 6/15
True_Correct
null
24,473
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 1/3 is the same as 5/15 and 2/5 is the same as 6/15 and now that the two denominators are the same we can add them up which equals 11/15
True_Correct
null
24,474
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 1/3 is the same as 5/15 and 2/5 is the same as 6/15 so you need to add the numerators together to make 11/15.
True_Correct
null
24,475
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 1/3 plus 2/5 added together is 11/15 when i did the math.
True_Neither
null
24,476
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 1/3 times by 5=5/15. 2/5 times by 3=6/15. 6/15+5/15=11/15.
True_Correct
null
24,477
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 1/3+2/5 is equal to 5/15+6/15
True_Correct
null
24,478
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 1/3= 5/15 and 2/5=6/15 and 5/15=+6/15=11/15
True_Correct
null
24,479
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 1/3=5/15 and 2/5=6/15 and 6/15+5/15=11/15
True_Correct
null
24,480
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 1/3=5/15 and 2/5=6/15 which means that 5/15+6/15=11/15
True_Correct
null
24,481
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 1/3=5/15 and 2/5=6/15. 5/15 + 6/15 = 11/15
True_Correct
null
24,482
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 1/3x5=5/15 and 2/5x3=6/15
True_Correct
null
24,483
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 15 is the 1st number
True_Neither
null
24,484
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 3 and 5 are two different denominators so you convert them to both 15 and whatever you do to the bottom you do to the top.
True_Correct
null
24,485
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 3 times 5 is 15 and the 1 will times 5 as well and te 2 will times 3 which makes 11
True_Correct
null
24,486
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 3 times 5 is 15 so the denominator would be 15 and i did 2 times 3 and 1 times 5 and the total was 11
True_Correct
null
24,487
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 3 x 5 =15 and 1 + 2 is 3 the answer is 3/15
True_Misconception
Denominator-only_change
24,488
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 3x5 =15 the 3x2=6 1x5=5 the 6+5=11 /15
True_Correct
null
24,489
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 3x5=15 and 1x5=5 and 3x2=6 and 6+5=11
True_Correct
null
24,490
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 5×2=10+1=11 and then 3=15 so the answer is 11/15 or 11 over 15.
True_Correct
null
24,491
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because 6/15 plus 5/15 is 11/15
True_Correct
null
24,492
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because a common denominator of the two fractions is 15. as i multiplied the two denominators by each other, i had to times the numerators by the other fraction's original denominator. this means the new number sentence is 5 fifteenths + 6 fifteenths which is 11 fifteenths.
True_Correct
null
24,493
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because a common multiple of 3 and 5 is 15
True_Neither
null
24,494
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because after i change the 2 fractions to the same denominator, 5+6=11
True_Neither
null
24,495
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because both of the denominators into 15
True_Neither
null
24,496
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because by finding the common denominator and adding the fractions together we get 11/15
True_Correct
null
24,497
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because each fraction has have the same denominator of 1 so 5 times one is 5 and 2 times 3 is 6 and 6 plus 5 is 11
True_Correct
null
24,498
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because first i found the lowest common denominator which is 15. so the sum is now 5/15 + 6/15 ( whatever you do to the bottom you do to the top ). 5+6= 11
True_Correct
null
24,499
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i think this because first you need the find the lowest common denominator which is 15. then you times the numerators by the amount you multiplied the denominators by. once you have both your fractions add them!
True_Correct
null