Question

Answer 1

`-3/5. 3/7+ -3/5/ 4/7- -3/5`

`=-3/5(3/7+4/7)+3/5`

`=-3/5. 1+3/5=0`

Answer 2

\(\dfrac{-3}{5}.\dfrac{5}{7}+\dfrac{-3}{5}.\dfrac{4}{7}-\dfrac{-3}{5}\) 

=\(\dfrac{-3}{5}.\left(\dfrac{5}{7}+\dfrac{4}{7}-1\right)\) 

=\(\dfrac{-3}{5}.\dfrac{2}{7}\) 

=\(\dfrac{-6}{35}\)

Answer 3

=\(\dfrac{-3}{5}\cdot\left(\dfrac{5}{7}+\dfrac{4}{7}+1\right)\)

=\(\dfrac{-3}{7}\cdot\dfrac{16}{7}\)

=\(\dfrac{-48}{49}\)

Answer 4

\(\dfrac{-3}{5}.\dfrac{5}{7}+\dfrac{-3}{5}.\dfrac{4}{7}-\dfrac{-3}{5}\)

\(=\dfrac{-3}{5}.\left(\dfrac{5}{7}+\dfrac{4}{7}\right)+\dfrac{3}{5}\)

\(=\dfrac{-3}{5}.\dfrac{9}{7}+\dfrac{3}{5}\)

\(=\dfrac{-27}{35}+\dfrac{3}{5}\)

\(=\dfrac{-27}{35}+\dfrac{21}{35}\)

\(=\dfrac{6}{35}\)