Question

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

Answer 1

Answer:

-38/7

Step-by-step explanation:

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

The sum of $\frac{40}{35}+\frac{112}{35}$ is $\frac{152}{35}$.

Now we multiply it by $-\frac{5}{4}$ so we have

$\\-\frac{5}{4} \cdot \frac{112}{35}\\=-\frac{1}{7}\cdot \frac{38}{1}\\=\boxed{-\frac{38}{7}}$