What should be added to -3/5 to get -1/3? A. 4/5 B. 8/15

Question

What should be added to \(\frac{-3}{5}\) to get \(\frac{-1}{3}?\)

A. \(\frac{4}{5}\)

B. \(\frac{8}{15}\)

C. \(\frac{4}{15}\)

D. \(\frac{2}{5}\)

Answer 1

Let the number added be x 

Then,

\(\frac{-3}{5}+\text{x}=\frac{-1}{3}\)

\(\Rightarrow\) \(\text{x}=\frac{1}{3}-\frac{-3}{5}\)

\(\Rightarrow\) \(\text{x}=\frac{-1\times5-(-3)\times3}{15}\)

\(\Rightarrow\) \(\text{x}=\frac{-5+9}{15}\)

\(\Rightarrow\) \(\text{x}=\frac{4}{15}\)