Question

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

(b) $4\frac{1}{2}÷\frac{4}{9}$

(c) $1÷\frac{2}{5}$

(d) $\frac{4}{9}÷\frac{4}{9}$

Answer 1

(a) The given expression can be simplified as below
$\frac{2}{3}÷\frac{6}{5}=\frac{2\times 5}{3\times 6}$

$=\frac{5}{9}$
(b) The given expression can be simplified as below
$\frac{9}{2}÷\frac{4}{9}=\frac{9\times 9}{2\times 4}$

$=\frac{81}{8}$

$=10\frac{1}{8}$
(c) $1÷\frac{2}{5}$
The given expression can be simplified as below
$\frac{1}{1}÷\frac{2}{5}=\frac{1\times 5}{1\times 2}$

$=\frac{5}{2}$

$=2\frac{1}{2}$
(d) The given expression can be simplified as below
$\frac{4}{9}÷\frac{4}{9}=\frac{4\times 9}{9\times 4}$

$=1$