Question

By what number should $(-5{)}^{-1}$ be multiplied so that the product is $(-8{)}^{-1}$

Answer 1

Let the number be $x$.

According to the question,

$x\times (-5{)}^{-1}=(-8{)}^{-1}$

$x\times \frac{1}{-5}=\frac{1}{-8}$

$x\times \frac{1}{5}=\frac{1}{8}$

$x=\frac{5}{8}$

Hence, this is the answer.