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

This page will also help you understand how to convert a Mixed number
to an Improper Fraction.

Fractions is an area that a lot of kids find hard to understand. One of the problems with fractions is that they have different meanings depending on the context.

For example, you can eat half an apple or cut an orange into fourths. But you can also put the number one-half on a number line, measure a line 3 1/2 cm long, or find a fourth of 24.

Once the concept of fractions as numbers and fractions as parts of a whole has been understood, your child will be well on their way to developing a sound understanding of fractions.

Here you will find information about converting improper fractions to mixed numbers, a printable support sheet and some practice sheets.

Further down this page you will find information about converting mixed numbers into improper fractions along with a printable resource sheet and some practice sheets.

If you want to convert an improper fraction into a mixed number, or convert a mixed fraction into an improper fraction, use the converter below.

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).

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

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
*

How to Convert an Improper Fraction to a Mixed Number:

Divide the numerator by the denominator.

- The integer (whole number) part of the answer gives you the number of ones.
- The remainder part of the answer gives you 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.

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

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

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.

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.

All the free Math sheets in this section support the Elementary Math Benchmarks for Grades 4 and 5.

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