# Applications of fraction operations

### Applications of fraction operations

In this section, we will learn how to solve questions which require us to perform fraction operations including, addition, subtracting, multiplication, and division. We will also practice our skills by solving some word problems on fraction operations too.

#### Lessons

• Introduction
a)
How to convert between mixed numbers and improper fractions?

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

• 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?

• 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?