Mathematics

Add each pair of rational numbers, given below, and show that their addition (sum) is also a rational number:
$\dfrac{-8}{13}$ and $\dfrac{-4}{13}$

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$\dfrac{-8}{13} + \dfrac{-4}{13} \\[1em] =\dfrac{-8+(-4)}{13} \\[1em] =\dfrac{-12}{13}$

As $\dfrac{-12}{13}$ is in the form of $\dfrac{p}{q}$ where p and q both are integers and q ≠ 0,

∴ $\dfrac{-12}{13}$ is a rational number.

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