Question

Solve: $(\frac{5}{6}\times \frac{13}{2})+(\frac{-9}{4}\times \frac{5}{3})$

Answer 1

$(\frac{5}{6}\times \frac{13}{2})+(\frac{-9}{4}\times \frac{5}{3})$

$\Rightarrow \frac{65}{12}+\left(\frac{-45}{12}\right)$

$\Rightarrow \frac{65}{12}-\frac{45}{12}$

LCM$=12$

$\therefore \frac{65-45}{12}=\frac{20}{12}=\frac{5}{3}$.