# Dividing fractions and mixed numbers

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##### Intros
###### Lessons
1. Simplify fractions: Method A - By using greatest common factors
2. Simplify fractions: Method B - By using common factors
3. How to divide fractions with fractions?
4. How to do cross-cancelling?
5. How to convert between mixed numbers and improper fractions?
6. Review: How to divide fractions and mixed numbers?
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##### Examples
###### Lessons
1. Dividing Fractions and Mixed Numbers Using Diagrams
Find each of the following quotients by using diagrams.
1. $\frac{5}{6} \div \frac{3}{4}$
2. $2\frac{1}{3} \div \frac{1}{8}$
3. $\frac{7}{5} \div \frac{1}{2}$
2. Dividing Fractions and Mixed Numbers Algebraically
Find each quotient by using multiplication.
1. $\frac{5}{8} \div \frac{1}{4}$
2. $2 \div \frac{3}{5}$
3. $3\frac{2}{7} \div 1\frac{9}{{10}}$
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?
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##### Practice
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###### Topic Notes
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.

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