# Multiplying Fractions with Whole Numbers

We say that a fraction is the number which can be expressed in form of $\frac{p}{q}$, where ‘p’ and ‘q’ are whole Numbers and q ≠ 0. Here we are going to learn about multiplying a mixed fraction with a Whole Number. Unlike addition and subtraction, there is no need for the Fractions to be like in multiplication.

The following steps are to explain the multiplication of a mixed fraction with a whole number:

1. Convert the mixed fraction into an improper fraction.
2. Simplify the fraction if possible.
3. The denominator of a whole number is considered as 1.
4. Multiply the numerator and denominator of the two fractions to get the resultant numerator and denominator respectively.
5. Simplify the resultant fraction.
6. If the resultant fraction is an improper fraction then convert it into a mixed fraction.

Example 1:

Multiply $\frac{3}{7}$ with 2
$\frac{3}{7}$ x 2
= $\frac{3}{7}$ x $\frac{2}{1}$
= $\frac{6}{7}$

Example 2:

Multiply 2$\frac{5}{8}$ with 4
2$\frac{5}{8}$ x 4
= $\frac{21}{8}$ x 4
= $\frac{21}{8}$ x $\frac{4}{1}$
= $\frac{84}{8}$
= $\frac{21}{2}$