Question

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

$\text{(b)}\frac{5}{12}\times 8$

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

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

Answer 1

(a) The given expression can be simplified as below:

$\frac{3}{7}\times \frac{2}{5}=\frac{3\times 2}{7\times 5}$

$=\frac{6}{35}$ (1 mark)


(b) The given expression can be simplified as below:

$\frac{5}{12}\times \frac{8}{1}=\frac{5\times 8}{12\times 1}$

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

$=\frac{10}{3}$

$=3\frac{1}{3}$ (1 mark)

(c) The given expression can be simplified as below:

$\frac{7}{6}\times \frac{3}{14}=\frac{1\times 1}{2\times 2}$

$=\frac{1}{4}$ (1 mark)

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

The given expression can be simplified as below:

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

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

$=\frac{729}{56}$

$=13\frac{1}{56}$ (1 mark)