Question

The sum of the rational numbers $\frac{-8}{19}$ and $\frac{-4}{57}$ is _____.

• A. $\frac{-12}{57}$
• B. $\frac{-28}{57}$
• C. $\frac{-42}{47}$
• D. $\frac{-32}{47}$

Answer 1

The correct option is B

$\frac{-28}{57}$

$\frac{-8}{19}+\frac{-4}{57}=\frac{(-8\times 3)}{(19\times 3)}+\frac{-4}{57}$
$=\frac{-24}{57}+\frac{-4}{57}$
$=\frac{-28}{57}$