Multiplying improper 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 multiply fractions with cross-cancelling?
  
  
  d)

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

  How to multiply improper fractions and mixed numbers?
  
  

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• 1.
  Multiplying Improper Fractions and Mixed Numbers Using Area Models
  Use an area model to find each product.
  a)

  $\frac{1}{3} \times 2\frac{1}{3}$
  
  
  b)

  $1\frac{1}{4} \times 1\frac{1}{2}$
  
  
  c)

  $2\frac{1}{5} \times 1\frac{1}{6}$
  
  

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• 2.
  Multiply Improper Fractions and Mixed Numbers Involving Single-digit Numbers
  Estimate and calculate each product.
  a)

  $3\frac{2}{3} \times 1\frac{1}{4}$
  
  
  b)

  $\frac{7}{4} \times \frac{{13}}{8}$
  
  
  c)

  $2\frac{2}{5} \times 6$
  
  

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• 3.
  Word Problems: Multiplying Improper Fractions and Mixed Numbers
  Three and a half rolls of wrapping paper are needed to wrap 10 presents. How many rolls of wrapping paper are needed to wrap 25 presents?

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