Question

Simplify:

\[\left( \frac{13}{7} \times \frac{11}{26} \right) - \left( \frac{- 4}{3} \times \frac{5}{6} \right)\]

Answer 1

\[ (\frac{13}{7} \times \frac{11}{26}) - (\frac{- 4}{3} \times \frac{5}{6})\]
\[ = \frac{1 \times 11}{7 \times 2} - \frac{- 2 \times 5}{3 \times 3}\]
\[ = \frac{11}{14} - \frac{- 10}{9}\]
\[ = \frac{11 \times 9 + 10 \times 14}{126}\]
\[ = \frac{239}{126}\]