# 6.1.8 Mixed Numbers

In most of the examples considered so far, you have been using
fractions to describe part of a whole. The result is a positive number whose
value is less than 1. Fractions in which the numerator (top number) is less
than the denominator (bottom number), such as and , are known as **proper fractions**.

A **mixed number** consists of a whole number and a proper
fraction. Consider .

Mixed numbers can be represented on a number line by dividing each unit interval into parts. For example, to mark on the number line, the interval from 2 to 3 can be divided into thirds.

Then, can be marked at the point one third of the way along the interval from 2 to 3.

## Activity: Fractions on the Number Line

Draw a number line from ^{−}2 to 5 in your math
notebook. Plot the following fractions on the number
line:

, , , and .

### Discussion

Which two whole numbers does lie between? Into how many parts do you want to break the distance between these whole numbers if you have fourths?

### Answer

You can determine the position of a number by dividing the length between the two appropriate whole numbers on the scale into 2, 4, 8 or 5 equal parts (or pieces) as appropriate, and then plotting the fractions on it as shown below.

6.1.7 True or False?