Question

Add the following rational numbers.
(i) $\frac{-5}{7}\mathrm{and}\frac{3}{7}$
(ii) $\frac{-15}{4}\mathrm{and}\frac{7}{4}$
(iii) $\frac{-8}{11}\mathrm{and}\frac{-4}{11}$
(iv) $\frac{6}{13}\mathrm{and}\frac{-9}{13}$

Answer 1

$$\begin{gathered} \left(\mathrm{i}\right) \\ \frac{-5}{7}+\frac{3}{7}=\frac{-5+3}{7}=\frac{-2}{7} \\ \left(\mathrm{ii}\right) \\ \frac{-15}{4}+\frac{7}{4}=\frac{-15+7}{4}=\frac{-8}{4}=-2 \\ \left(\mathrm{iii}\right) \\ \frac{-8}{11}+\frac{-4}{11}=\frac{-8-4}{11}=\frac{-12}{11} \\ \left(\mathrm{iv}\right) \\ \frac{6}{13}+\frac{-9}{13}=\frac{6-9}{13}=\frac{-3}{13} \end{gathered}$$