Question

How to multiply a whole number with a mixed fraction

Answer 1

Procedure to multiply a whole number with a mixed fraction :

Following steps are performed to multiply a whole number with a mixed fraction

1. Mixed fraction need to be converted into improper fraction.
2. The whole number needs to be written in the form of the fraction with a denominator.
3. Multiply the fraction that are obtained by converting them into an improper fraction
4. The resultant fraction is written as a mixed fraction in its simplest form.

Example: find the product of $3\frac{2}{5}$ and $15$.

Here $3\frac{2}{5}$ is a mixed fraction, while, $15$ is a whole number.

$$\begin{gathered} 3\frac{2}{5}=\frac{3\times 5+2}{5} \\ =\frac{17}{5} \end{gathered}$$

So, $\frac{17}{5}\times 15=51$

Therefore, product of $3\frac{2}{5}$ and $15$ is $51$.

Hence, we can multiply a whole number with a mixed fraction by converting mixed fraction into improper fraction and then multiply.