Question

Simplify and reduce to a simple fraction:

(xii) $\frac{4}{5}of\frac{7}{15}÷\frac{8}{9}$

Answer 1

Step: Simplifying with the help of BODMAS

We will apply the rule of BODMAS to simplify the given expression.

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

[Changing 'of' into the sign of multiplication]

$=\frac{28}{75}÷\frac{8}{9}$

$=\frac{28}{75}÷\frac{9}{8}$

$=\frac{7}{25}\times \frac{3}{2}=\frac{21}{50}$

Hence, the given expression simplifies to $\frac{21}{50}$.