# Fraction to Mixed Number Calculator

Enter the improper fraction in the fields below to convert it to a mixed number. The calculator shows all the work so you can follow along and learn the steps.

## Solution:

### Steps to Convert to a Mixed Number

You might also like our calculator to convert a mixed number to an improper fraction.

## How to Convert an Improper Fraction to a Mixed Number

An improper fraction is a fraction with no whole number and has a larger numerator than the denominator. We can simplify these fractions to mixed numbers in a few simple steps.

### Step One: Use Long Division

The first step in the conversion is to use long division to find the quotient and the remainder. These will be used in the next step.

When doing long division with a fraction, the numerator will be the dividend, and the denominator will be the divisor.

**For example,** let’s solve the quotient and remainder of 73.

First, add the numerators:

73 = 7 ÷ 3

7 ÷ 3 = 2 R1

Thus, the quotient is **2**, and the remainder is **1**.

### Step Two: Rewrite the Quotient and Remainder to the Mixed Number

The second step is to rewrite the fraction as a mixed number using the quotient and remainder from the previous step, along with the original denominator.

To convert, set the quotient as the whole number, the remainder as the numerator, and the original denominator as the denominator.

**For example,** let’s use the quotient and remainder from the previous step to rewrite 73 as a mixed number.

First, add the numerators:

quotient = 2

remainder = 1

original denominator = 3

Using these values, the rewritten mixed number is:

2 13

That’s it! You have now rewritten an improper fraction as a mixed number in two simple steps.

This method works great for converting a fraction to a mixed number, but you might also like our fraction simplifier to simplify fractions smaller than 1.