Convert Improper Fraction

Welcome to the Math Salamanders support page on How to Convert Improper Fraction to Mixed Numbers.

We have a selection of resources including a calculator, support sheets and a practice sheet.

Improper Fraction Calculator

If you just want a calculator to do the hard work for you, then try our Improper Fraction Calculator.

The calculator will convert any mixed number to an improper fraction, or an improper fraction into a mixed number.

The great thing is that it will also show you all the working out - job done!

If you would rather learn how to do this for yourself, then ignore this part and keep reading.

How to Convert Improper Fractions to a Mixed Number (or Mixed Fraction)

Frazer says "The important thing to remember when converting an improper fraction to a mixed fraction is that a fraction represent the division of the numerator by the denominator."

So in other words:     a b   =   a ÷ b

Convert Improper Fraction Frazer Salamander

How to Convert an Improper Fraction to a Mixed Number:

Divide the numerator by the denominator.

  • The quotient (whole number) part of the answer gives you the number of ones.
  • The remainder part of the answer gives you the numerator of the fraction that you have left over.


Examples

Example 1       23 5 =     23 ÷ 5 =   4 r 3 =   4 3 5

Example 2       19 7 =     19 ÷ 7 =   2 r 5 =   2 5 7

Example 3       27 4 =     27 ÷ 4 =   6 r 3 =   6 3 4

For further information and a printable support sheet, please see below.

Convert Improper Fractions to Mixed Fractions Practice Sheets

How to Convert a Mixed Number to an Improper Fraction

Here you will find information about converting Mixed fractions to Improper fractions, a printable support sheet and some practice sheets.

How to Convert a Mixed Fraction (or Mixed Number) to an Improper Fraction

Frazer says "You can convert a mixed fraction, or mixed number, into an improper fraction by following these two simple steps:

Frazer the Fraction Salamander

Step 1

Change the whole number part into a fraction by multiplying it by the denominator, then putting it over the denominator.

Step 2

Add on the fraction part of the mixed number by adding the two numerators.



Examples

Example 1       3 1 5   =   3 x 5 + 1 5   =   16 5

Example 2       5 4 7   =   5 x 7 + 4 7   =   39 7

Example 3       9 2 3   =   9 x 3 + 2 3   =   29 3

For further information and a printable support sheet, please see below.

Convert Mixed Fractions to Improper Fractions Practice sheets

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.

 

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How to Print or Save these sheets

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Need help with printing or saving?
Follow these 3 easy steps to get your worksheets printed out perfectly!

 

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