Question

simplify $(2\frac{1}{3}-1\frac{1}{2})$ of $\frac{4}{5}+2\frac{2}{5}÷3\frac{1}{5}$

Answer 1

Consider the given expression,

$(2\frac{1}{3}-1\frac{1}{2})of\frac{4}{5}+2\frac{2}{5}÷3\frac{1}{5}$

$\Rightarrow (\frac{7}{3}-\frac{3}{2})of\frac{4}{5}+\frac{12}{5}÷\frac{16}{5}$

$\Rightarrow (\frac{7}{3}-\frac{3}{2})of\frac{4}{5}+\frac{12}{5}\times \frac{5}{16}$

$\Rightarrow \left(\frac{7\times 2-3\times 3}{3\times 2}\right)of\frac{4}{5}+\frac{12}{16}$

$\Rightarrow \left(\frac{5}{6}\right)of\frac{4}{5}+\frac{3}{4}$

$\Rightarrow \left(\frac{5}{6}\right)\times \frac{4}{5}+\frac{3}{4}$

$\Rightarrow \frac{3}{3}+\frac{3}{4}$

$\Rightarrow \frac{21}{12}=\frac{7}{4}$

hence, this is the answer.