Question

Simplify:

\[\left( \frac{13}{5} \times \frac{8}{3} \right) - \left( \frac{- 5}{2} \times \frac{11}{3} \right)\]

Answer 1

\[(\frac{13}{5} \times \frac{8}{3}) - (\frac{- 5}{2} \times \frac{11}{3})\]
\[ = \frac{13 \times 8}{15} - \frac{- 5 \times 11}{6}\]
\[ = \frac{104}{15} - \frac{- 55}{6}\]
\[ = \frac{104 \times 2 + 55 \times 5}{30}\]
\[ = \frac{483}{30}\]