(8/-15 + 4/-3) = ?

Question

\((\frac{8}{-15}+\frac{4}{-3})=\,?\)

A. \(\frac{28}{15}\)

B. \(\frac{-28}{15}\)

C. \(\frac{-4}{5}\)

D. \(\frac{-4}{15}\)

Answer 1

\(\frac{8}{-15}=\frac{8\times-1}{-15\times-1}=\frac{-8}{15}\)

And,

\(\frac{4}{-3}=\frac{4\times-1}{-3\times-1}=\frac{-4}{3}\)

\(\Rightarrow\) \(\frac{8}{-15}+\frac{4}{-3}=\frac{-8}{15}+\frac{-4}{3}\)

\(\Rightarrow\) \(\frac{-8\times3+(-4)\times15}{45}\)

\(\Rightarrow\) \(\frac{-24-60}{45}\)

\(=\frac{-84}{45}=\frac{-84\div3}{45\div3}=\frac{-28}{15}\)