Question

Multiply and reduce to lowest form and convert into a mixed fraction: $7\times \left(\frac{3}{5}\right)$

Answer 1

Step 1. Reduce $7\times \left(\frac{3}{5}\right)$ 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.

Reduce $7\times \left(\frac{3}{5}\right)$ to the lowest form:

$7\times \left(\frac{3}{5}\right)=\frac{21}{5}$

since, $21$ and $5$ are co-prime i.e. they have no common factor other than one hence,$\frac{21}{5}$ is the lowest form.

Step 2. Convert $\frac{21}{5}$ 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$\frac{\mathrm{Dividend}}{\mathrm{Divisor}}=\mathrm{Quotient}\frac{\mathrm{Remainder}}{\mathrm{Divisor}}$

Convert $\frac{21}{5}$ into a mixed fraction:

$\frac{21}{5}=4\frac{1}{5}$ $\left[\because 5421-201\right]$

Hence, the lowest form of $7\times \left(\frac{3}{5}\right)$ is $\frac{21}{5}$and its conversion into mixed fraction is $4\frac{1}{5}$.