Question
Add the following rational numbers:
$\frac{-3}{7}\text{ and }\frac{5}{-7}$
$\frac{-3}{7}\text{ and }\frac{5}{-7}$
✓
Answer
$\frac{-3}{7}\text{ and }\frac{5}{-7}$
$\frac{5}{-7}=\frac{5\times(-1)}{-7\times(-1)}=\frac{-5}{7}$
$\therefore \ \frac{-3}{7}+\frac{-5}{7}=\frac{-3-5}{7}$
$=\frac{-8}{7}$
$\frac{5}{-7}=\frac{5\times(-1)}{-7\times(-1)}=\frac{-5}{7}$
$\therefore \ \frac{-3}{7}+\frac{-5}{7}=\frac{-3-5}{7}$
$=\frac{-8}{7}$
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