Dividing Fractions
Dividing Fraction Review
Table of Contents
- Introduction
- Fraction Division
- Division with whole numbers and fractions
- Division of a Whole Number by a Unit Fraction
- Division of a Fraction by a Whole Number
- Dividing Fraction by Fraction
- Division of Fractions
Fraction Division
Why a reciprocal?
[br]Our goal is to get our divisor to 1[br][br]We can do this by multiplying by the [b][i][color=#1e84cc]reciprocal[/color][/i][/b][br][br]A [b][color=#1e84cc]reciprocal[/color][/b] is a number you multiply by to get 1[br][br]Ex: [math]\frac{2}{3}\cdot\frac{3}{2}=\frac{6}{6}or1[/math][br] [br] [math]\frac{4}{1}\cdot\frac{1}{4}=\frac{4}{4}or1[/math][br][br]Our fancy 7th grade word for reciprocal is [b][color=#1e84cc]multiplicative inverse[br][br][/color][/b]We can also use common denominator division - you will see this later..... [br][br]Practice below
Division of a Whole Number by a Unit Fraction
Rewrite as Multiplication
[math]3\div\frac{1}{5}[/math] is the same as [math]\frac{3}{1}\cdot\frac{5}{1}[/math][br][br]
Find the value of [math]3\div\frac{1}{5}[/math]
Find the value of [math]2\div\frac{1}{4}[/math]
Rewrite as multiplication and solve
[math]2\div\frac{1}{5}[/math]
Your Turn
Solve with an equation
Rewrite as multiplication and solve
[math]6\div\frac{1}{5}[/math]
Rewrite as multiplication and solve
[math]8\div\frac{1}{3}[/math]
Division of Fractions
Explore - this will show [color=#980000]common denominator division[br][br][/color]
Now you have a choice[br][br]Create [color=#980000]common denominators [/color]and divide [br][br]Use the [color=#1e84cc]reciprocal[/color] and multiply
Practice - show either method and solve
[math]\frac{2}{3}\div\frac{1}{4}[/math]
Practice - show either method and solve
[math]\frac{3}{4}\div\frac{1}{5}[/math]
Practice - show either method and solve
[math]\frac{5}{8}\div\frac{2}{3}[/math]