# Converting Mixed numbers to improper fractions

By | September 22, 2022

Mixed numbers are numbers that has whole number part and fraction part as One number. Sometimes it is often referred to as mixed fractions. An improper fraction is a fraction whose numerator is greater than the denominator. An example of a mixed numbers and improper fractions is shown below

Conversion of mixed numbers to improper fractions, we can convert mixed numbers to improper fractions as well as convert improper fractions to mixed numbers. We will be looking at these two methods one after the other.

## How to Convert mixed numbers to improper fractions

To convert mixed numbers to improper fractions follow the simple steps below.

Step1: Multiply the whole number part with the denominator of the fraction.

Step2: add the results to the numerator of the fraction and take it over the denominator. Let’s look at the example below.

\text{Example 1: Convert}\space  4\frac{1}{3}\space\text{ to improper fractions.}\\
Answer: \text{Multiply the whole number 4 with denominator 3 and add it to numerator 1}=\space 4\frac{1}{3}=\frac{(4×3)+1}{3}=\frac{12+1}{3}=\frac{13}{3}

This is pretty good, right? Let’s look at how to convert improper fractions back to mixed numbers.

## How to convert improper fractions to mixed numbers

Conversion of improper fractions to mixed numbers is the reverse process of converting mixed numbers to improper fractions. Follow the steps to convert improper fractions to mixed numbers.

Step1: Divide the numerator by the denominator

Step 2: write the number of times the denominator has entered in the numerator as a whole number part and take the remainder as the numerator.

Let’s look at the example below.

\begin{aligned}&\text{Example 1: Convert } \space\frac{27}{5}.\\
&Answer: \text{divide 27 by 5 }= \frac{27}{5}= 5\space\text{remainder 2}\\
&\text{Therefore} \space\frac{27}{5}=5\frac{2}{5}\end{aligned}

This is pretty good.

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