## Video and Examples

Mixed numbers can be converted into improper fractions and vice versa. Learn how here.

### Changing a mixed number into an improper fraction.

Consider the mixed number . Here is how you can imagine on a number line.

means each whole number is cut into five pieces and there are three additional fractional pieces. Therefore there are eight fractional pieces in .

A second way to think of this goes as follows:

### Changing an improper fraction into a mixed number.

We can also change in improper fraction into a mixed number. Here is how…

The fraction means you have 8 fractional pieces and each three fractional pieces equals one whole. Look at the picture of .

You can see that is equal to 2 wholes plus left over. This means

A second way to think of this goes as follows:

### Explore with this GeoGebra applet:

Duane Habecker, Created with GeoGebra

# Self-Check

Q1: Change into an improper fraction. [show answer]

Q2: Change into an improper fraction. [show answer]

Q3: Change into a mixed number. [show answer]

Q4: Change into a mixed number. [show answer]