Question

Simplify the followings:
(a) $\frac{3}{7}\times \frac{2}{5}$

(b) $\frac{4}{9}\times \frac{3}{5}$

(c) $\frac{5}{12}\times 8$

(d) $\frac{7}{6}of\frac{3}{14}$

(e) $3\frac{3}{8}\times 3\frac{6}{7}$

Answer 1

(a) The given expression can be simplified as below
$\frac{3}{7}\times \frac{2}{5}=\frac{3\times 2}{7\times 5}$
$=\frac{6}{35}$
(b) The given expression can be simplified as below
$\frac{4}{9}\times \frac{3}{5}=\frac{4\times 3}{9\times 5}$

$=\frac{4\times 1}{3\times 5}$

$=\frac{4}{15}$
(c) The given expression can be simplified as below
$\frac{5}{12}\times \frac{8}{1}=\frac{5\times 8}{12\times 1}$

$=\frac{5\times 2}{3\times 1}$

$=\frac{10}{3}$

$=3\frac{1}{3}$
(d) The given expression can be simplified as below
$\frac{7}{6}\times \frac{3}{14}=\frac{1\times 1}{2\times 2}$
$=\frac{1}{4}$
(e) The given expression can be simplified as below
$3\frac{3}{8}\times 3\frac{6}{7}$

$=\frac{27}{8}\times \frac{27}{7}$

$=\frac{(27\times 27)}{(8\times 7)}$

$=\frac{729}{56}$

$=13\frac{1}{56}$