Question

Simplify:

\[\left( \frac{8}{5} \times \frac{- 3}{2} \right) + \left( \frac{- 3}{10} \times \frac{11}{16} \right)\]

Answer 1

\[(\frac{8}{5} \times \frac{- 3}{2}) + (\frac{- 3}{10} \times \frac{11}{16})\]
\[ = \frac{4 \times ( - 3)}{5} + \frac{- 3 \times 11}{10 \times 16}\]
\[ = \frac{- 12}{5} + \frac{- 33}{160}\]
\[ = \frac{- 12 \times 32 - 33}{160}\]
\[ = \frac{- 384 - 33}{160}\]
\[ = \frac{- 417}{160}\]