Question

Simplify: ( −4/9 − 5/12) ÷ 7/8

Answer 1

(-4/9-5/12) ÷7/8

lcm of 9 and 12 is 36

(-4×4/36-5×3/36) ÷7/8

(-16/36-15/36) ×8/7

-31/36×8/7

=-62/63

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Answer 2

$\mathbb\red{ \tiny A \scriptsize \: N \small \:S \large \: W \Large \:E \huge \: R}$

$\rule{300pt}{0.1pt}$

$\\ \bigg( - \frac{4}{9} - \frac{5}{2} \bigg) \div \frac{7}{8}$

$\\ \rm\implies \frac{-31}{36} \div \frac{7}{8}$

$\\ \rm\implies \frac{-31}{36} \times \frac{8}{7}$

$\\ \boxed{\red{ \rm\implies -\frac{248}{252} = - \frac{62}{63} }}$