Question

Simplify and reduce to a simple fraction:
$\frac{4}{5}÷\frac{7}{15}\times \frac{8}{9}$

Answer 1

Simplifying with the help of BODMA

We will apply the rule of BODMAS to simplify the given expression.
$\frac{4}{5}÷\frac{7}{15}\times \frac{8}{9}=\frac{4}{5}\times \frac{15}{7}\times \frac{8}{9}$

[Performing division first]

$=\frac{4\times 15\times 8}{5\times 7\times 9}$

$=\frac{4\times 8}{7\times 3}$

$=\frac{32}{21}$

Hence, the given expression simplifies to $=\frac{32}{21}or1\frac{11}{21}$