Question

Simplify:

\[\left( \frac{- 9}{4} \times \frac{5}{3} \right) + \left( \frac{13}{2} \times \frac{5}{6} \right)\]

Answer 1

\[(\frac{- 9}{4} \times \frac{5}{3}) + (\frac{13}{2} \times \frac{5}{6})\]
\[ = \frac{- 3 \times 5}{4} + \frac{13 \times 5}{12}\]
\[ = \frac{- 15}{4} + \frac{65}{12}\]
\[ = \frac{- 15 \times 3 + 65}{12}\]
\[ = \frac{20}{12} = \frac{5}{3}\]