Dividing Fractions

Introduction to

Dividing Fractions

Fifth Grade

​Learning Objectives

• I can represent and solve problems ​involving division of a unit fraction by a whole number.

• ​I can represent and solve problems involving division of a whole number by a unit fraction.

​Dividing Fractions Song

​https://numberock.com/lessons/dividing-a-whole-number-by-a-fraction/

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​What We Already Know

​Dividing Whole Number by a Unit Fraction

• When dividing a whole number by a fraction represent the whole number by using fractions.

• ​Use enough fractions to represent the whole number.

• ​Count the number of fractions.

​For Example

Multiple Choice

• 4

• 8

• 16

• 2

• We can see there are 4 fourths in 1 whole.

• ​In total there are 8 fourths in 2 whole parts.

​KCF

• ​KCF stands for:

• ​Keep - keep the first fraction the same.

• ​Change - change the division sign to multiplication.

• ​​Flip - flp the second fraction.

Multiple Choice

Which shows the correct KCF method?

•   $$\frac{3}{1}\times\frac{6}{1}$$  

• $$\frac{1}{3}\times\frac{1}{6}$$  

• $$\frac{1}{3}\times\frac{6}{1}$$  

• $$\frac{3}{1}\div\frac{6}{1}$$  

​Dividing Unit Fractions by Whole Numbers

​KCF

​Let's solve the same problem using the KCF method!

Multiple Select

What is $$\frac{1}{3}\div5$$  

• $$\frac{1}{3}\times\frac{1}{5}=\frac{1}{15}$$  

• $$\frac{1}{3}\times\frac{5}{1}=\frac{5}{3}$$  

​Things to Remember

• ​If you start with a fraction you will end with a fraction.

• ​If you start with a whole number you will end with a whole number.