Question

Multiply and reduce to lowest form and convert into a mixed fraction: $5\times \left(\frac{2}{9}\right)$

Answer 1

Step 1. Reduce $5\times \left(\frac{2}{9}\right)$ to the lowest form.

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

$$\begin{gathered} 5\times \left(\frac{2}{9}\right)=\frac{5}{1}\times \frac{2}{9} \\ \Rightarrow 5\times \left(\frac{2}{9}\right)=\frac{10}{9} \end{gathered}$$

Step 2. Convert $\frac{10}{9}$ into a mixed fraction.

A mixed fraction is a combination of a whole and a part which is obtained by dividing the numerator with denominator such that $\frac{\mathrm{Dividend}}{\mathrm{divisor}}=Q\mathrm{uotient}\frac{\mathrm{Remainder}}{\mathrm{divisor}}$

Convert $\frac{10}{9}$ into a mixed fraction:

$\frac{10}{9}=1\frac{1}{9}$ $\left[\because 9110-91\right]$

Hence, the lowest form of $5\times \left(\frac{2}{9}\right)$ is $\frac{10}{9}$and its conversion into a mixed fraction is $1\frac{1}{9}$.