Fraction Calculator

Need to calculate fractions without doing the math by hand? Our free Fraction Calculator makes it easy to add, subtract, multiply, and divide fractions. Enter your fractions and get a simplified answer instantly, including support for mixed numbers.

Fraction Calculator

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How to Use the Fraction Calculator

Using the Fraction Calculator is straightforward. Enter the numerator and denominator for each fraction, choose the operation you want to perform, and click Calculate.

You can use the calculator to add, subtract, multiply, or divide two fractions. The result is automatically simplified, and you can also see the decimal and mixed-number forms when applicable.

What Is a Fraction?

A fraction represents a part of a whole. It has two main parts: a numerator and a denominator.

For example, in 3/4, the number 3 is the numerator and 4 is the denominator.

The numerator tells you how many parts you have, while the denominator tells you how many equal parts make up the whole.

How to Add Fractions

When two fractions have the same denominator, you can simply add their numerators.

For example:

2/7 + 3/7 = 5/7

When the denominators are different, you first need to find a common denominator.

For example:

1/2 + 1/3

The common denominator is 6:

3/6 + 2/6 = 5/6

How to Subtract Fractions

Fraction subtraction works in a similar way to addition.

For example:

5/6 − 1/6 = 4/6

After simplifying:

4/6 = 2/3

So the answer is 2/3.

How to Multiply Fractions

To multiply two fractions, multiply the numerators together and then multiply the denominators together.

For example:

2/3 × 4/5 = 8/15

The result is already in its simplest form, so the answer is 8/15.

How to Divide Fractions

To divide one fraction by another, multiply the first fraction by the reciprocal of the second fraction.

For example:

2/3 ÷ 4/5

Change the division into multiplication and flip the second fraction:

2/3 × 5/4 = 10/12

After simplifying:

10/12 = 5/6

So the answer is 5/6.

Simplifying Fractions

A fraction is in its simplest form when the numerator and denominator have no common factor greater than 1.

For example:

12/18

Both numbers can be divided by 6:

12 ÷ 6 = 2

18 ÷ 6 = 3

Therefore:

12/18 = 2/3

The calculator automatically simplifies your final answer.

Fraction Calculator Examples

Example 1: Addition

1/4 + 2/4 = 3/4

Example 2: Subtraction

7/8 − 3/8 = 4/8 = 1/2

Example 3: Multiplication

3/5 × 2/7 = 6/35

Example 4: Division

3/4 ÷ 2/5 = 3/4 × 5/2 = 15/8

As a mixed number:

15/8 = 1 7/8

Fraction and Decimal

Fractions can also be written as decimals.

For example:

1/2 = 0.5

3/4 = 0.75

5/8 = 0.625

A fraction may have a terminating decimal or a repeating decimal, depending on the numbers involved.

Frequently Asked Questions

Can this calculator add fractions with different denominators?

Yes. The calculator can calculate fractions even when their denominators are different.

Does the calculator simplify fractions?

Yes. The final fraction is automatically reduced to its simplest form.

Can I multiply fractions?

Yes. Select the multiplication option and enter your two fractions.

Can I divide fractions?

Yes. Select the division option. The calculator will handle the reciprocal calculation automatically.

Can I use negative fractions?

Yes. You can enter negative numerators or denominators, and the calculator will display the result correctly.

Can the calculator show decimals?

Yes. Along with the simplified fraction, the result includes its decimal value.

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