Question

What is 5/6 - 3/8? Chose the answer in the most simplified form. A. 1/3 B. 9/16 C. 1/12 D. 11/24

Answer 1

Given:

`(5)/(6)-(3)/(8)`

We need to simplify this expression.

The least common multiple of 6 and 8 is 24.

Make the denominator of the fraction as 24.

`(5)/(6)-(3)/(8)=(5*4)/(6*4)-(3*3)/(8*3)`

`(5)/(6)-(3)/(8)=(20)/(24)-(9)/(24)`

`(5)/(6)-(3)/(8)=(20-9)/(24)`

`(5)/(6)-(3)/(8)=(11)/(24)`

Final answer:

`(5)/(6)-(3)/(8)=(11)/(24)`