Division of fractions - Examples, Exercises and Solutions

Dividing fractions is easy

We will solve fraction divisions in the following way:
First step
Let's look at the exercise.

  • If there is any mixed number - we will convert it into a fraction
  • If there is any whole number - we will convert it into a fraction

Second step
We will convert the division into multiplication
Also, we will swap the numerator and denominator in the second fraction.
Third step
We will solve by multiplying numerator by numerator and denominator by denominator.

Suggested Topics to Practice in Advance

  1. Sum of Fractions
  2. Subtraction of Fractions
  3. Multiplication of Fractions

Practice Division of fractions

examples with solutions for division of fractions

Exercise #1

Solve the following exercise:

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

Video Solution

Answer

12 \frac{1}{2}

Exercise #2

Complete the following exercise:

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

Video Solution

Answer

13 \frac{1}{3}

Exercise #3

Complete the following exercise:

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

Video Solution

Answer

113 1\frac{1}{3}

Exercise #4

Complete the following exercise:

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

Video Solution

Answer

112 1\frac{1}{2}

Exercise #5

Complete the following exercise:

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

Video Solution

Answer

12 \frac{1}{2}

examples with solutions for division of fractions

Exercise #1

Solve the following exercise:

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

Video Solution

Answer

12 \frac{1}{2}

Exercise #2

Solve the following exercise:

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

Video Solution

Answer

23 \frac{2}{3}

Exercise #3

Solve the following exercise:

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

Video Solution

Answer

1 1

Exercise #4

Complete the following exercise:

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

Video Solution

Answer

1 1

Exercise #5

1×12:2 1\times\frac{1}{2}:2

Video Solution

Answer

1/4

examples with solutions for division of fractions

Exercise #1

Solve the following exercise:

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

Video Solution

Answer

112 1\frac{1}{2}

Exercise #2

Solve the following exercise:

34:16=? \frac{3}{4}:\frac{1}{6}=\text{?}

Video Solution

Answer

412 4\frac{1}{2}

Exercise #3

Complete the following exercise:

25:47=? \frac{2}{5}:\frac{4}{7}=\text{?}

Video Solution

Answer

710 \frac{7}{10}

Exercise #4

Complete the following exercise:

24:13=? \frac{2}{4}:\frac{1}{3}=\text{?}

Video Solution

Answer

112 1\frac{1}{2}

Exercise #5

Complete the following exercise:

12:35=? \frac{1}{2}:\frac{3}{5}=\text{?}

Video Solution

Answer

56 \frac{5}{6}

Topics learned in later sections

  1. Comparing Fractions
  2. Operations with Fractions