Question

Multiply and reduce to lowest form (if possible):$\left(\frac{4}{5}\right)\times \left(\frac{12}{7}\right)$.

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 $\left(\frac{4}{5}\right)\times \left(\frac{12}{7}\right)$ into the lowest form:

$$\begin{gathered} \begin{array}{rcl}\left(\frac{4}{5}\right)\times \left(\frac{12}{7}\right)& =& \frac{4\times 12}{5\times 7}\end{array} \\ \begin{array}{rcl}& \Rightarrow & \left(\frac{4}{5}\right)\times \left(\frac{12}{7}\right)=\frac{48}{35}\end{array} \end{gathered}$$

$48$ and $35$ are co-prime i.e. have no common factor other than one.

Hence $\frac{48}{35}$ is the lowest form of $\left(\frac{4}{5}\right)\times \left(\frac{12}{7}\right)$.