Question:
Add the following rational numbers.
(i) $\frac{-5}{7}$ and $\frac{3}{7}$
(ii) $\frac{-15}{4}$ and $\frac{7}{4}$
(iii) $\frac{-8}{11}$ and $\frac{-4}{11}$
(iv) $\frac{6}{13}$ and $\frac{-9}{13}$
Solution:
(i) $\frac{-5}{7}+\frac{3}{7}=\frac{-5+3}{7}=\frac{-2}{7}$
(ii) $\frac{-15}{4}+\frac{7}{4}=\frac{-15+7}{4}=\frac{-8}{4}=-2$
(iii) $\frac{-8}{11}+\frac{-4}{11}=\frac{-8-4}{11}=\frac{-12}{11}$
(iv) $\frac{6}{13}+\frac{-9}{13}=\frac{6-9}{13}=\frac{-3}{13}$
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