Improper fraction to mixed number calculator with steps

Our Improper Fraction Calculator will help you to convert Improper Fractions to Mixed Numbers, and from Mixed Numbers to Improper Fractions.

Improper Fraction Calculator

If you need to find out how to convert fractions into improper fractions, there is more help further down!

Improper Fraction Converter - How It Works

To enter a fraction, you have to enter the numerator followed by '/' followed by the denominator. E.g. 4/5 or 23/7

To enter a mixed fraction, first type the whole number followed by space followed by the numerator followed by '/' followed by the denominator. E.g. 3 1/4 (3 and a quarter); 2 3/5 (2 and three-fifths).

This calculator not only converts the fraction for you, but also shows you the working out!

How to Convert between Improper Fractions and Mixed Numbers (or Mixed Fractions)

If you want to know more about how to convert improper fractions to mixed numbers or convert from mixed numbers to improper fractions then we have a page dedicated to this skill below.

There is also a printable support page, as well as some practice worksheets with answers.

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Improper Fractions Worksheets

We have a wide range of Improper Fraction Worksheets, some of which use visual fractions to aid understanding and some sheets which are more abstract.

Converting Decimals to Fractions

Here you will find some simple information and advice about how to convert a decimal to a fraction. Before you learn how to do this, you should also know about simplifying fractions.

You will also find a printable resource sheet and some practice sheets which will help you understand and practice this math skill.

Converting Fractions to Percentages

The printable learning fraction page below contains more support, examples and practice converting fractions to percentages.

Free Fraction Calculator

Here you will find the Math Salamanders Free Fraction Calculator.

This calculator will enable you to:

• add, subtract, multiply and divide fractions

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In Maths, Fraction is defined as the ratio of two numbers. It is in the form of a/b. The top number in the fraction is called the numerator and the bottom number in the fraction is called the denominator. Fractions are usually classified into the following types. They are along the lines

Proper Fraction - Numerator Value is less than the Denominator Value.

Improper Fraction - Numerator Value is greater than the Denominator Value.

Mixed Number - It is a combination of natural numbers and a proper fraction.

Usually, the improper fraction doesn't have a whole number and includes numerator greater than the denominator. You can simplify these fractions to mixed number in few simple steps

Step 1: Use Long Division Method

The very first step you need to follow while converting from Improper Fraction to Mixed Number is to do long division. Use Long Division Method to find the quotient and remainder. In the Long Division Method Numerator is the dividend and the denominator is the divisor.

Step 2: Rewrite the Quotient and Remainder to Mixed Number

In the second step, you need to rewrite the fraction as a mixed number using the quotient and remainder you got in the initial step along with the original denominator. To do so, set the quotient as the whole number and remainder as the numerator and original denominator as the denominator.

If you feel the whole conversion process tedious and time taking don't worry you can always rely on our Improper Fraction to Mixed Number Calculator.

Example

Convert Improper Fraction 7/3 into Mixed Number?

Solution:

Step 1: Given Improper Fraction 7/3

In this Dividend = 7, Divisor = 3

Using Long Division method for converting an improper fraction to mixed number

On dividing the number 7 by 3 we will have the quotient as 2 and remainder 1.

Rewriting the Quotient and Remainder to obtain the mixed number.

Quotient Value 2 will become the whole number and remainder 1 as the numerator and the original denominator as the denominator.

Thus, 7/3 = 2 1/3

That's it, you have got the improper fraction as a mixed number.

Procedure to use Improper Fraction to Mixed Number Calculator is as under

• Enter the improper fraction in the input field of the calculator.
• Now click on the enter button prevailing after the input provision to get the required output.
• Finally, the conversion of Improper fraction to the mixed number will be displayed on the screen.

1. How do you change Improper Fraction to Mixed Number?

You can use the long division method to obtain the quotient and remainder. After getting the quotient and remainder set the quotient as the whole number and remainder as the numerator and original denominator as the denominator.

2. What is a Mixed Number?

A Whole number and a fraction combined into one is called Mixed Number or Mixed Number. For Example, 2 1/3 is a mixed fumber as it has whole number and fraction part.

3. What is an Improper Fraction?

The fraction in which Numerator Value is greater than the Denominator Value is called an Improper Fraction. For instance, 5/ 3 is an improper fraction.

4. Where can I find Improper Fraction to Mixed Number Solved Examples?

You can find Improper Fraction to Mixed Number Solved Examples with step by step explanation on our page.

How do you convert improper fractions to mixed numbers step by step?