Question

What should be added to $\frac{-5}{7}$ to get $\frac{-2}{3}$?

Answer 1

Let the number that is to be added be x.

$\begin{array}{l}\frac{-5}{7}+x=\frac{-2}{3}\\ =>x=\frac{-2}{3}-\frac{(-5)}{7}\\ \mathrm{L}.\mathrm{C}.\mathrm{M}.\mathrm{of}3\mathrm{and}7\mathrm{is}21.\\ \begin{array}{l}=>x=\frac{-14+15}{21}\\ =>x=\frac{1}{21}\\ \text{Hence, the required number is}\frac{1}{21}\text{.}\end{array}\\ \\ \end{array}$