Question

simplify (-9/4 × 5/3) + (13/12 × 5/6)​

Answer 1

$⟶\: (\frac{-\:9}{\:4}\:×\:\frac{5}{3})\:+\:(\frac{13}{12})\:×\:\frac{5}{6})$

$⟶\:\frac{-\:9\:×\:5}{4\:×\:3}\:+\:\frac{13\:×\:5}{12\:×\:6}$

$⟶\: \frac{-\:45}{12}\:+\:\frac{65}{72}$

$\:The\:LCM\:of\:12\:and\:72\:is\:72 .$

$⟶\: \frac{-\:45\:×\:6\:+\:65\:×\:1}{72}$

$⟶\:\frac{-\:270\:+\:65}{72}$

$⟶\:\frac{-\:205}{72}$

$\mathcal{\boxed{simplest\:form\:is\:\frac{-\:205}{72}}}$