Question

2/5÷2/3 of (1/2÷4/5) of 3/4​

Answer 1

Answer:

$\frac{9}{32}$

Step-by-step explanation:

$(\frac{\frac{2}{5}}{\frac{2}{3}}) (\frac{\frac{1}{2} }{\frac{4}{5} } )(\frac{3}{4})$

$[\frac{(2)(3)}{(5)(2)}][\frac{(1)(5)}{(2)(4)}][\frac{3}{4}]$ $($∵ $\frac{\frac{a}{b}}{\frac{c}{d}} =\frac{ad}{bc} })$

$(\frac{3}{5})(\frac{5}{8} )(\frac{3}{4})$

$\frac{(3)(3)}{(8)(4)}$

$\frac{9}{32}$

∴ $(\frac{\frac{2}{5}}{\frac{2}{3}}) (\frac{\frac{1}{2} }{\frac{4}{5} } )(\frac{3}{4})=\frac{9}{32}$