Subtraction of Fractions Calculator

Published on: March 3, 2024

This calculator subtracts fractions and shows the working in a clear way. We make the bottom numbers match, subtract the top numbers, and only simplify at the end.

Step-by-step method

  1. Set up the problem. Write the two fractions with a minus sign between them.
  2. Make the bottom numbers match. (Find a common denominator.)
  3. Subtract the top numbers. Keep the bottom number the same.
  4. Simplify the final fraction (only here).

Example 1: 3/4 − 1/2

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

In this problem: We are subtracting 1/2 from 3/4.

3
4
1
2

Step 2 - Make the bottom numbers match. (Find a common denominator.)

In this problem: The bottom numbers are 4 and 2. A good shared bottom number is 4. So we change both fractions into equal fractions with the same bottom number.

3
4
×
1
1
=
3
4
1
2
×
2
2
=
2
4

Step 3 - Subtract the top numbers. Keep the bottom number the same.

In this problem: Now both fractions have bottom 4, so we subtract the top numbers: 3 − 2 = 1.

3
4
2
4
=
1
4

Step 4 - Simplify the final fraction (only here).

In this problem: This fraction is already in simplest form.

1
4

Final answer: 3/4 − 1/2 = 1/4

Example 2: 5/18 − 2/10

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

In this problem: We are subtracting 2/10 from 5/18.

5
18
2
10

Step 2 - Make the bottom numbers match. (Find a common denominator.)

In this problem: The bottom numbers are 18 and 10. A good shared bottom number is 90. So we change both fractions into equal fractions with the same bottom number.

5
18
×
5
5
=
25
90
2
10
×
9
9
=
18
90

Step 3 - Subtract the top numbers. Keep the bottom number the same.

In this problem: Now both fractions have bottom 90, so we subtract the top numbers: 25 − 18 = 7.

25
90
18
90
=
7
90

Step 4 - Simplify the final fraction (only here).

In this problem: This fraction is already in simplest form.

7
90

Final answer: 5/18 − 2/10 = 7/90