Question

Simplify:

\[\left( \frac{13}{9} \times \frac{- 15}{2} \right) + \left( \frac{7}{3} \times \frac{8}{5} \right) + \left( \frac{3}{5} \times \frac{1}{2} \right)\]

Answer 1

\[(\frac{13}{9} \times \frac{- 15}{2}) + (\frac{7}{3} \times \frac{8}{5}) + (\frac{3}{5} \times \frac{1}{2})\]
\[ = \frac{- 13 \times 5}{6} + \frac{7 \times 8}{15} + \frac{3}{10}\]
\[ = \frac{- 65}{6} + \frac{56}{15} + \frac{3}{10}\]
\[ = \frac{- 65 \times 5 + 56 \times 2 + 3 \times 3}{30}\]
\[ = \frac{- 204}{30} = \frac{- 34}{5}\]