Question

Simplify and reduce to a simple fraction:

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

Answer 1

Step: Slimplifying with the help of BODMAS

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

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

[Changing 'of' into the sign of multiplication]

$=\frac{4}{5}÷\frac{56}{135}$

$=\frac{4}{5}\times \frac{135}{56}=\frac{4\times 135}{5\times 56}=\frac{27}{14}=1\frac{13}{14}$

Hence the given expression simplifies to $\frac{27}{14}or1\frac{13}{14}$.