Question

Find five rational numbers between $\frac{-3}{5}$ and $\frac{-1}{2}$.

Answer 1

$\begin{array}{l}\\ \frac{-3}{5}\text{and}\frac{-1}{2}\\ \text{L}\text{.C}\text{.M. of 5 and 2 is 10}\text{.}\\ \frac{-3\times 2}{5\times 2}=\frac{-6\times 4}{10\times 4}=\frac{-24\times 2}{40\times 2}=\frac{-48}{80},\\ \frac{-1\times 5}{2\times 5}=\frac{-5\times 4}{10\times 4}=\frac{-20\times 2}{40\times 2}=\frac{-40}{80},\\ \mathrm{Hence},\mathrm{the}\mathrm{f}\text{ive rational numbers between}\frac{-3}{5}\text{and}\frac{-1}{2}\text{are}\frac{-45}{80},\frac{-44}{80},\frac{-43}{80},\frac{-42}{80}\mathrm{and}\frac{-41}{80}.\\ \end{array}$