Dividing fractions and mixed numbers

Dividing fractions and mixed numbers

In this section, we will use diagrams to divide fractions and mixed numbers (a.k.a. compound fractions) for the purpose of helping you getting a better understanding about the concepts of fraction division. We will also teach you how to divide fractions by using multiplications.

Lessons

In this lesson, we will learn:

• Dividing Fractions and Mixed Numbers Using Diagrams
• Dividing Fractions and Mixed Numbers Algebraically
• Word Problems: Dividing Fractions and Mixed Numbers
• Dividing Fractions and Mixed Numbers Involving Multiple-digit and Negative Numbers
• Introduction
a)
Simplify fractions: Method A - By using greatest common factors

b)
Simplify fractions: Method B - By using common factors

c)
How to divide fractions with fractions?

d)
How to do cross-cancelling?

e)
How to convert between mixed numbers and improper fractions?

f)
Review: How to divide fractions and mixed numbers?

• 1.
Dividing Fractions and Mixed Numbers Using Diagrams
Find each of the following quotients by using diagrams.
a)
$\frac{5}{6} \div \frac{3}{4}$

b)
$2\frac{1}{3} \div \frac{1}{8}$

c)
$\frac{7}{5} \div \frac{1}{2}$

• 2.
Dividing Fractions and Mixed Numbers Algebraically
Find each quotient by using multiplication.
a)
$\frac{5}{8} \div \frac{1}{4}$

b)
$2 \div \frac{3}{5}$

c)
$3\frac{2}{7} \div 1\frac{9}{{10}}$

• 3.
Word Problems: Dividing Fractions and Mixed Numbers
Three cups of water can fill up $\frac{2}{3}$ of a kettle. How many cups of water are required to fill up 5 kettles?