Question

\(\dfrac{3}{7}\) : \(\dfrac{5}{3}\) + \(\dfrac{3}{7}\) : \(\dfrac{5}{4}\) - 1\(\dfrac{3}{5}\)

Answer 1

\(\dfrac{3}{7}:\dfrac{5}{3}+\dfrac{3}{7}:\dfrac{5}{4}-1\dfrac{3}{5}=\dfrac{3}{7}\cdot\dfrac{3}{5}+\dfrac{3}{7}\cdot\dfrac{4}{5}-\dfrac{8}{5}=\dfrac{3}{7}\cdot\left(\dfrac{3}{5}+\dfrac{4}{5}\right)-\dfrac{8}{5}=\dfrac{3}{7}\cdot\dfrac{7}{5}-\dfrac{8}{5}=\dfrac{3}{5}-\dfrac{8}{5}=-\dfrac{5}{5}=-1\)

Answer 2

\(=\dfrac{3}{7}\left(\dfrac{3}{5}+\dfrac{4}{5}\right)-\dfrac{8}{5}=\dfrac{3}{7}\cdot\dfrac{7}{5}-\dfrac{8}{5}=-1\)

Answer 3

=\(\dfrac{3}{7}\):(\(\dfrac{5}{3}\)+\(\dfrac{5}{4}\))-\(\dfrac{8}{5}\)

=\(\dfrac{3}{7}\):\(\dfrac{35}{12}\)-\(\dfrac{8}{5}\)

=\(\dfrac{36}{245}\)-\(\dfrac{8}{5}\)

=\(\dfrac{-356}{245}\)