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

We have a selection of resources including worked examples, support sheets and practice sheets.

Want to check your working out? Try using our 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.

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: \[ {a \over b} \; = \; a ÷ b \]

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.

Dividing the numerator by the denominator gives us: 23 ÷ 5 = 4 r 3

So this means that \[ {23 \over 5} = 4 {3 \over 5} \]

Dividing the numerator by the denominator gives us: 19 ÷ 7 = 2 r 5

So this means that \[ {19 \over 7} = 2 {5 \over 7} \]

Dividing the numerator by the denominator gives us: 27 ÷ 4 = 6 r 3

So this means that \[ {27 \over 4} = 6 {3 \over 4} \]

Dividing the numerator by the denominator gives us: 32 ÷ 9 = 3 r 5

So this means that \[ {32 \over 9} = 3 {5 \over 9} \]

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

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.

Step 1)

Multiply the denominator by the integer part gives us: 3 x 5 = 15.

This means that: \[ 3 = {15 \over 5} \]

Step 2)

This gives us: \[ 3{1 \over 5} = {15 \over 5} + {1 \over 5} = {16 \over 5} \]

Final answer \[ 3{1 \over 5} \; = \; {16 \over 5} \]

Step 1)

Multiply the denominator by the integer part gives us: 5 x 7 = 35.

This means that: \[ 5 = {35 \over 7} \]

Step 2)

Add on the fraction part: \[ 5{4 \over 7} = {35 \over 7} + {4 \over 7} = {39 \over 7} \]

Final answer \[ 5{4 \over 7} \; = \; {39 \over 7} \]

Combining the two steps gives us:

\[ 9 {2 \over 3} = {(9 \times 3) + 2 \over 3} = {27 + 2 \over 3} = {29 \over 3} \]

Combining the two steps gives us:

\[ 3 {6 \over 7} = {(3 \times 7) + 6 \over 7} = {21 + 6 \over 7} = {27 \over 7} \]

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

This short video walkthrough shows several problems from our Convert Mixed Numbers to Improper Fractions Sheet 1 being solved and has been produced by the West Explains Best math channel.

If you would like some support in solving the problems on these sheets, check out the video!

Take a look at some more of our worksheets and resources similar to these.

If you are not ready for the sheets on this page, we also have some simpler visual converting improper fraction worksheets.

This support page introduces mixed numbers with some examples and an interactive teaching app.

There are also some practice worksheets to help you identify and write mixed numbers.

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.

Here you will find some support and practice sheets to test your skills at converting fractions to simplest form.

The printable fraction page below contains more support, examples and practice using equivalent fractions.

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