Question

find 2/5*-3/7-1/14-3/7*3/5​

Answer 1

$\:\:\:\:\:\:\:\frac{2}{5} \times ( - \frac{3}{7}) - \frac{1}{14} - \frac{3}{7} \times \frac{3}{5} \\ \\ = \frac{(2 \times ( - 3))}{(5 \times 7)} - \frac{1}{14} - \frac{3}{7} \times \frac{3}{5} \\ \\ =( - \frac{ 6}{35} ) - \frac{1}{14} - \frac{3}{7} \times \frac{3}{5} \\ \\ = ( - \frac{ 6}{35} ) - \frac{1}{14} - \frac{(3 \times 3)}{(7 \times 5)} \\ \\ = ( - \frac{ 6}{35} ) - \frac{1}{14} - \frac{9}{35} \\ \\ = ( - \frac{ 6}{35} )- \frac{9}{35} - \frac{1}{14} \\ \\ = \frac{(( - 6) - 9)}{35} - \frac{1}{14} \\ \\ =( - \frac{15}{35}) - \frac{1}{14} \\ \\ = \frac{( - 15 \times 14) -( 1 \times 35)}{(35 \times 14)} \\ \\ = \frac{(( - 210) - 35)}{490} \\ \\ = ( - \frac{245}{490} ) \\ \\ = \green{\boxed {- \frac{1}{2}}}$