Question

Multiply and reduce to the lowest form (if possible): $\left(\frac{9}{5}\right)\times \left(\frac{3}{5}\right)$

Answer 1

The lowest form of a fraction.

A fraction is said to be in the lowest form if its numerator and denominator have no common factor other than one.

Reduce $\left(\frac{9}{5}\right)\times \left(\frac{3}{5}\right)$ into the lowest form:

$\begin{array}{rcl}\left(\frac{9}{5}\right)\times \left(\frac{3}{5}\right)& =& \frac{9\times 3}{5\times 5}\\ & \Rightarrow & \left(\frac{9}{5}\right)\times \left(\frac{3}{5}\right)=\frac{27}{25}\end{array}$

$27$ and $25$ are co-prime i.e. have no common factor other than one.

Hence $\frac{27}{25}$ is the lowest form of $\left(\frac{9}{5}\right)\times \left(\frac{3}{5}\right)$.