Question

Simplify and reduce to a simple fraction:
$\frac{1}{2}of\frac{3}{4}\times \frac{1}{2}÷\frac{2}{3}$

Answer 1

Simplifying with the help of BODMAS

We will apply the rule of BODMAS to simplify the given expression.
$\frac{1}{2}of\frac{3}{4}\times \frac{1}{2}÷\frac{2}{3}=\frac{1}{2}\times \frac{3}{4}\times \frac{1}{2}÷\frac{2}{3}$
[Changing ‘of’ into the sign of multiplication

$=\frac{3}{8}\times \frac{1}{2}÷\frac{2}{3}$

$=\frac{3}{8}\times \frac{1}{2}\times \frac{3}{2}$

$=\frac{3\times 1\times 3}{8\times 2\times 2}$

$=\frac{9}{32}$
Hence, the given expression simplifies to $=\frac{9}{32}$