# Mixed Number Calculator

**
Instructions:
**
Use this calculator to compute mixed fractions. Please provide your mixed fraction in the box below.

## How to use this mixed number calculator

This mixed fraction calculator helps you compute any algebra expression involving mixed numbers and fractions that you provide. For example, you can provide a mixed number like '2 3/4' and the calculator will convert it to a regular fraction and it will reduce it.

Once you have provided a mixed number/fraction expression, you need to click on "Calculate", and all the steps will be shown for you.

## What is a mixed fraction

A *mixed fraction* is simply an integer that goes along with a fraction. The format is: the integer goes first, then a space and then a fraction. For example, the
following is a mixed fraction:

In this case, the integer is '2', and the fraction is '2/3'. Having these two entities together in this case means that we are adding them. This is, when we write the mixed fraction, we mean the following:

\[2\,\,\frac{2}{3} = 2 + \frac{2}{3}\]## How do compute mixed numbers

The basic idea is to simple reduce the mixed number to a sum of fractions. This is, you need to separate the integer part and the fraction part of a mixed number and the operate them as regular fractions.

## What are the steps for the calculation of mixed numbers

- Step 1: Identify clearly what is the mixed number we want to analyze
- Step 2: Extract the integer part and the fraction part of the mixed number
- Step 3: Convert the integer part to fraction and then simply operate them as fractions

## Why would deal with mixed fractions?

Using mixed fractions (also known as mixed numbers) is sort of a legacy notation. It actually does not have a notable importance nor does it play any important role. But it is good to know how to operate them, since the pop up in formulas from time to time.

### Example: Calculating mixed number

Write as a fraction: \(1\,\,\frac{1}{3}\).

Solution:

We need to simplify the following given mixed fraction: \(\displaystyle 1 \,\, \frac{ 1}{ 3}\).

The following calculation is obtained:

which concludes the calculation.

### Example: Another mixed fraction calculation

Calculate the following mixed number \(3 + 2\,\,\frac{2}{3}\).

Solution:

First, we need to simplify the following given mixed fraction: \(\displaystyle 2 \,\, \frac{ 2}{ 3}\).

The following calculation is obtained:

Now we need to calculate and simplify the following expression: \(\displaystyle 3+\frac{8}{3}\).

The following calculation is obtained:

which concludes the calculation.

## Other fraction calculations

Mixed numbers are less commonly used in math notation, since it is more practical to have them expressed as regular fractions. To a certain extent, the conversion of fractions to mixed number is almost like a conversion from fraction to decimal, since you identify an integer part and a decimal part.

Mixed fractions corresponds essentially to fraction calculation, in which the "blank space" between the integer and the fraction can be replaced by a "+", so it turns into a simple addition of fractions.