Division of Fractions Calculator

Published on: March 17, 2024

This Division of Fractions Calculator helps you divide two fractions and shows the working clearly step by step. To divide fractions, keep the first fraction, flip the second fraction to get its reciprocal, and then multiply. Simplify the final answer if possible. It is a simple way to check answers, understand fraction division, and practise basic arithmetic step by step.

Step-by-step method

  1. Set up the problem. Write the two fractions with a ÷ sign between them.
  2. Flip the second fraction. Keep the first fraction the same and flip the second one.
  3. Multiply. Change ÷ into × and multiply the fractions.
  4. Simplify at the end if possible.

Example 1: 3/4 ÷ 1/2

Step 1 - Set up the problem. Write the two fractions with a ÷ sign between them.

In this problem: We are dividing 3/4 by 1/2.

3
4
÷
1
2

Step 2 - Flip the second fraction. Keep the first fraction the same and flip the second one.

In this problem: The reciprocal of 1/2 is 2/1.

3
4
÷
1
2
3
4
×
2
1

Step 3 - Multiply. Change ÷ into × and multiply the fractions.

In this problem: Now we change ÷ into × and multiply: 3 × 2 = 6 and 4 × 1 = 4.

3
4
×
2
1
=
6
4

Step 4 - Simplify at the end if possible.

In this problem: Both 6 and 4 can be divided by 2. So the simplified answer is 3/2.

6
4
=
3
2

Final answer: 3/4 ÷ 1/2 = 3/2

Example 2: 5/10 ÷ 2/4

Step 1 - Set up the problem. Write the two fractions with a ÷ sign between them.

In this problem: We are dividing 5/10 by 2/4.

5
10
÷
2
4

Step 2 - Flip the second fraction. Keep the first fraction the same and flip the second one.

In this problem: The reciprocal of 2/4 is 4/2.

5
10
÷
2
4
5
10
×
4
2

Step 3 - Multiply. Change ÷ into × and multiply the fractions.

In this problem: Now we change ÷ into × and multiply: 5 × 4 = 20 and 10 × 2 = 20.

5
10
×
4
2
=
20
20

Step 4 - Simplify at the end if possible.

In this problem: Both 20 and 20 can be divided by 20. So the simplified answer is 1.

20
20
=1

Final answer: 5/10 ÷ 2/4 = 1