Question

Solve the following:
a) -5/4 [8/7+16/5]​

Answer 1

-38/7

Explanation:

We are given
`-(5)/(4)((8)/(7)+(16)/(5))\\`. First find the sum of the fractions in the parentheses. The greatest common multiple is 35 so we have
`(8)/(7)+(16)/(5)=(40)/(35)+(112)/(35)`.

The sum of
`(40)/(35)+(112)/(35)` is
`(152)/(35)`.

Now we multiply it by
`-(5)/(4)` so we have

`\\-(5)/(4) \cdot (112)/(35)\\=-(1)/(7)\cdot (38)/(1)\\=\boxed{-(38)/(7)}\\`