Question

Simplify:

\[\left( \frac{1}{4} \times \frac{2}{7} \right) - \left( \frac{5}{14} \times \frac{- 2}{3} \right) + \left( \frac{3}{7} \times \frac{9}{2} \right)\]

Answer 1

\[(\frac{1}{4} \times \frac{2}{7}) - (\frac{5}{14} \times \frac{- 2}{3}) + (\frac{3}{7} \times \frac{9}{2})\]
\[ = \frac{1}{14} - \frac{- 5}{21} + \frac{27}{14}\]
\[ = \frac{1 \times 3 + 5 \times 2 + 27 \times 3}{42}\]
\[ = \frac{94}{42} = \frac{47}{21}\]