Fractions to Mixed Numbers

Introduction

We will often be working with numbers that involve fractions, but that are bigger than 1. To get the best of both worlds, we can use mixed numbers.[br][br]How can we write five halves? As a fraction? As a mixed number? Complete the following activities to find out.

An Applet to Allow Fractions to be Converted to Mixed Numbers

Question 1

Which of the following are ways to write five halves?

[math]\frac{1}{2}\times5[/math] [math]\frac{5}{2}[/math] [math]5\frac{1}{2}[/math] [math]2\frac{1}{2}[/math] [math]5\div2[/math] [math]\frac{10}{2}[/math] [math]5\times\frac{1}{2}[/math] [math]2\div5[/math]

Question 2

Write the following in order of size, from smallest to largest:[br][br][math]1\frac{1}{2}[/math], [math]2\frac{1}{4}[/math], [math]2\frac{1}{2}[/math], [math]1\frac{3}{4}[/math], [math]\frac{11}{4}[/math][br]

Question 3

Write [math]\frac{10}{4}[/math] as a mixed number, in its simplest form:

[math]1\frac{2}{4}[/math] [math]2\frac{2}{4}[/math] [math]\frac{5}{2}[/math] [math]1\frac{1}{2}[/math] [math]10\frac{1}{4}[/math] [math]2\frac{1}{2}[/math]