Question

PLEASE HELP!!!! Identify the mistake and use the correct answer to the problem!!!

Answer 1

11/8 is the correct answer

Explanation:

15/24 + 3/4

Reduce the fraction 15/24 ​ to lowest terms by extracting and canceling out 3.

=5/8 +3/4

Least common multiple of 8 and 4 is 8. Convert 5/8 and 3/4 to fractions with denominator 8.

= 5/8 + 6/8

since 5/8 and 6/8 have the same denominator, add them by adding their numerators.

= 5 + 6/8

Add 5 and 6 to get 11.

=11/8

here is why 9/14 is wrong

Answer 2

1
`(3)/(8)`

Explanation:

the denominators must be the same so, since 4 goes evenly into 24 we can create an equivalent fraction from 3/4 to 18/24 (multiply numerator and denominator by 6)

now you can add:

`(15)/(24)` +
`(18)/(24)` =
`((15+18))/(24)` =
`(33)/(24)`

since the numerator is larger than the denominator this is called an improper fraction and can be changed into a mixed number by dividing 24 into 33

24 goes into 33 one time with a remainder of 9

so 33/24 = 1
`(9)/(24)` wherein 9 and 24 can each have a 3 factored out to make it fully simplified

9÷3 = 3

24÷3 = 8

final answer is 1
`(3)/(8)`