Dividing fractions and mixed numbers

Lessons

• 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?
  
  

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• 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)

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

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• 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)

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

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• 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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