Question
Add the following rational numbers:
$\frac{-5}{11}\text{ and }\frac{-7}{-11}$
$\frac{-5}{11}\text{ and }\frac{-7}{-11}$
✓
Answer
$\frac{-5}{11}\text{ and }\frac{-7}{-11}$
$\frac{7}{-11}=\frac{7\times(-1)}{-11\times(-1)}+\frac{-7}{11}$
$\therefore\frac{-5}{11}+\frac{-5-7}{11}=\frac{-12}{11}$
$\frac{7}{-11}=\frac{7\times(-1)}{-11\times(-1)}+\frac{-7}{11}$
$\therefore\frac{-5}{11}+\frac{-5-7}{11}=\frac{-12}{11}$
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