Answer:
-38/7
Step-by-step explanation:
We are given [tex]-\frac{5}{4}(\frac{8}{7}+\frac{16}{5})\\[/tex]. First find the sum of the fractions in the parentheses. The greatest common multiple is 35 so we have [tex]\frac{8}{7}+\frac{16}{5}=\frac{40}{35}+\frac{112}{35}[/tex].
The sum of [tex]\frac{40}{35}+\frac{112}{35}[/tex] is [tex]\frac{152}{35}[/tex].
Now we multiply it by [tex]-\frac{5}{4}[/tex] so we have
[tex]\\-\frac{5}{4} \cdot \frac{112}{35}\\=-\frac{1}{7}\cdot \frac{38}{1}\\=\boxed{-\frac{38}{7}}\\[/tex]
