Convert Mixed Numbers into Improper Fractions

In this activity, we will be learning about mixed numbers and improper fractions. 

A mixed number is made up of a whole number and a fraction.

Let's look at the mixed number below:

This is 3 wholes and 2 fifths.

3 wholes are the same as 5 fifths + 5 fifths + 5 fifths = 15 fifths.

15 fifths + 2 fifths = 17 fifths in total.

Have a look at this picture to help you visualise it:

A quick way to work this out is: 3 x 5 + 2 = 17

Can you see how you multiply the whole number (3) by the denominator (5) and then add the numerator (2)?

3 x 5 = 15 + 2 = 17

17/5 is an improper fraction because it is top-heavy. 

That means that the top number is bigger than the bottom number.

Let's try an example. 

Example

Convert the following mixed number into an improper fraction.

Answer

Multiply the whole number (5) by the denominator (7) and add the numerator (4)

Work out 5 x 7 + 4 = 39

The answer is 39/7.

Now it's time to try some of these yourself.