Examples with solutions for Division of Fractions: Simple division

Exercise #1

Solve the following exercise:

14:12=? \frac{1}{4}:\frac{1}{2}=\text{?}

Video Solution

Step-by-Step Solution

When we approach solving such questions, we need to know the rule of dividing fractions,

When we need to divide a fraction by a fraction, we use the method of multiplying by the reciprocal.

This means we flip the numerator and denominator of the second fraction, and then perform fraction multiplication.

Instead of:

1/4 : 1/2 =

We get:

1/4 * 2/1 =

We'll remember that in fraction multiplication we multiply numerator by numerator and denominator by denominator

1*2 / 4*1 =
2/4 =

We'll reduce the fraction and get:

1/2

Answer

12 \frac{1}{2}

Exercise #2

3434=? \frac{\frac{3}{4}}{\frac{3}{4}}=\text{?}

Video Solution

Step-by-Step Solution

We will use the formula:

aa=1 \frac{a}{a}=1

Therefore the answer is 1

Answer

1 1

Exercise #3

Complete the following exercise:

19:13=? \frac{1}{9}:\frac{1}{3}=\text{?}

Video Solution

Answer

13 \frac{1}{3}

Exercise #4

Complete the following exercise:

89:23=? \frac{8}{9}:\frac{2}{3}=\text{?}

Video Solution

Answer

113 1\frac{1}{3}

Exercise #5

Complete the following exercise:

34:12=? \frac{3}{4}:\frac{1}{2}=\text{?}

Video Solution

Answer

112 1\frac{1}{2}

Exercise #6

Complete the following exercise:

16:13=? \frac{1}{6}:\frac{1}{3}=\text{?}

Video Solution

Answer

12 \frac{1}{2}

Exercise #7

Solve the following exercise:

24:22=? \frac{2}{4}:\frac{2}{2}=\text{?}

Video Solution

Answer

12 \frac{1}{2}

Exercise #8

Solve the following exercise:

412:24=? \frac{4}{12}:\frac{2}{4}=\text{?}

Video Solution

Answer

23 \frac{2}{3}

Exercise #9

Solve the following exercise:

84:42=? \frac{8}{4}:\frac{4}{2}=\text{?}

Video Solution

Answer

1 1

Exercise #10

Complete the following exercise:

12:12=? \frac{1}{2}:\frac{1}{2}=\text{?}

Video Solution

Answer

1 1

Exercise #11

Solve the following exercise:

610:25=? \frac{6}{10}:\frac{2}{5}=\text{?}

Video Solution

Answer

112 1\frac{1}{2}