Question

Write your answer in simplest form.

HELP

Answer 1

`(3)/(16)`

Explanation:

We do the division first because of PEMDAS.

Apply the fraction division rule:
`(a)/(b)/ (c)/(d)=(a)/(b)* (d)/(c)`

Therefore,

`(5)/(8)-(1)/(4)/ (4)/(7)=(5)/(8)-(1)/(4)* (7)/(4)`

Multiply the two fractions:

`(5)/(8) -(1* \:7)/(4* \:4)`

`(5)/(8)-(7)/(16)`

The LCM of the denominators (8 and 16) is 16.

Adjust fractions:

`(10)/(16)-(7)/(16)`

Subtract:

`(10-7)/(16)`

`(3)/(16)`