Question
Add the following rational numbers:
$\frac{31}{-4}\text{ and }\frac{-5}{8}$

Answer

$\frac{31}{-4}\text{ and }\frac{-5}{8}$
LCM of 4 and 8 is 4
$\frac{31}{-4}=\frac{31\times2}{-4\times2}=\frac{62}{-8}$
$\frac{31}{-4}+\frac{-5}{8}=\frac{62}{-8}+\frac{-5}{8}$
$=\frac{-62-5}{8}$
$=\frac{-67}{8}$

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