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 .
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?