Question

\(\dfrac{2}{4}:\left(\dfrac{2}{3}:\dfrac{3}{5}\right)\)

Answer 1

\(\dfrac{2}{4}:\left(\dfrac{2}{3}:\dfrac{3}{5}\right)=\dfrac{1}{2}:\left(\dfrac{2}{3}.\dfrac{5}{3}\right)=\dfrac{1}{2}:\dfrac{2.5}{3.3}=\dfrac{2.5}{2.3.3}=\dfrac{5}{3.3}=\dfrac{5}{9}\)

Answer 2

\(\dfrac{2}{4}:\left(\dfrac{2}{3}:\dfrac{3}{5}\right)\)

= \(\dfrac{2}{4}:\dfrac{2}{3}.\dfrac{3}{5}\)

= \(\dfrac{2}{4}.\dfrac{3}{2}.\dfrac{3}{5}\)

= \(\dfrac{2.3.3}{4.2.5}\)

= \(\dfrac{3.3}{4.5}\)

= \(\dfrac{9}{20}\)

Answer 3

\(\dfrac{2}{4}\): (\(\dfrac{2}{3}\):\(\dfrac{3}{5}\)) = \(\dfrac{2}{4}\): (\(\dfrac{2}{3}\). \(\dfrac{5}{3}\))

=\(\dfrac{2}{4}\): \(\dfrac{10}{9}\)

= \(\dfrac{2}{4}\). \(\dfrac{9}{10}\)

= \(\dfrac{9}{20}\)