Question

Simplify:
(a) $\frac{1}{4}of2\frac{2}{7}÷\frac{3}{5}$

(b) $1\frac{1}{4}\times \frac{1}{2}÷1\frac{1}{3}$

(c) $\frac{3}{4}\times 1\frac{1}{3}÷\frac{3}{7}of2\frac{5}{8}$

(d) $2\frac{1}{4}÷\frac{2}{7}of1\frac{1}{3}\times \frac{2}{3}$

Answer 1

(a) The given expression can be simplified as follows:
$\frac{1}{4}\times \frac{16}{7}÷\frac{3}{5}=\frac{4}{7}÷\frac{3}{5}$

$=\frac{4\times 5}{7\times 3}$

$=\frac{20}{21}$

(b) The given expression can be simplified as follows:
$1\frac{1}{4}\times \frac{1}{2}÷1\frac{1}{3}=\frac{5}{4}\times \frac{1}{2}\times \frac{3}{4}$

$=\frac{5}{8}\times \frac{3}{4}$

$=\frac{15}{32}$

(c) The given expression can be simplified as follows:
$\frac{3}{4}\times 1\frac{1}{3}÷\frac{3}{7}of2\frac{5}{8}$

$=\frac{3}{4}\times \frac{4}{3}÷\frac{9}{8}$

$=\frac{8}{9}$

(d) The given expression can be simplified as follows:
$2\frac{1}{4}÷\frac{2}{7}of1\frac{1}{3}\times \frac{2}{3}$

$=\frac{9}{4}÷\frac{8}{21}\times \frac{2}{3}$

$=\frac{9}{4}\times \frac{21}{8}\times \frac{2}{3}$

$=\frac{63}{16}$