Question

Simplify the -2/3×(4/7+-2/9)​

Answer 1

$( - \frac{2}{3} ) \times (( \frac{4}{7}) + ({ - \frac{2}{9} )}) \\ \\ = ( - \frac{2}{3} ) \times( \frac{4}{7} - \frac{2}{9} ) \\ \\ ( - \frac{ 2}{3} ) \times \frac{(4 \times 9) - (2 \times 7)}{(7 \times 9)} \\ \\ = ( - \frac{ 2}{3} ) \times \frac{(36- 14)}{63} \\ \\ = ( - \frac{ 2}{3} ) \times \frac{ 22}{63} \\ \\ = \frac{(( - 2) \times 22)}{(3 \times 63)} \\ \\ = \green {\boxed{ - \frac{ 44}{189}}}$