Applications of fraction operations

Lessons

• Introduction
  a)

  How to convert between mixed numbers and improper fractions?
  
  

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• 1.
  Solve.
  a)

  $\frac{5}{6} + \frac{2}{3} \times \frac{1}{4}$
  
  
  b)

  $1\frac{1}{5} \div \left( {\frac{3}{7} - \frac{1}{2}} \right)$
  
  
  c)

  $4\frac{1}{3} + 1\frac{2}{5} \div \left( {\frac{8}{5} - \frac{1}{4}} \right)$
  
  

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• 2.
  Three fifths of the students in a class are girls; and the rest are boys. One fourth of the boys play basketball. What fraction of the boys in the class play basketball?

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• 3.
  A farmer plans to grow 50 fruit trees in his farm. $\frac{3}{4}$ of them will be apple trees. Among these apple trees, half of them will be Gala apples. How many Gala apple trees will the farmer plant?

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