Fraction Calculator Guide

Use this fraction calculator to add, subtract, multiply, or divide two fractions and view a simplified result. It is useful for homework, recipes, measurement conversions, ratio questions, and quick checking when fractions have different denominators.

What Is a Fraction?

A fraction shows part of a whole. In 3/5, the numerator is 3 and the denominator is 5. The denominator tells how many equal parts make the whole, while the numerator tells how many parts are being used.

How to Use This Calculator

Enter the numerator and denominator for the first fraction.
Enter the numerator and denominator for the second fraction.
Choose add, subtract, multiply, or divide.
Click Calculate and review the simplified answer.

Fraction Rules

For multiplication:

(a/b) x (c/d) = (a x c) / (b x d)

For division:

(a/b) / (c/d) = (a/b) x (d/c)

For addition and subtraction:

a/b + c/d = (ad + bc) / bd

Worked Examples

Example 1: Add 1/2 + 1/3.

1/2 + 1/3 = 3/6 + 2/6 = 5/6

Example 2: Multiply 2/5 x 3/4.

(2 x 3) / (5 x 4) = 6/20 = 3/10

Example 3: Divide 3/7 / 2/5.

3/7 x 5/2 = 15/14

Mistakes to Avoid

Never use zero as a denominator. Also remember that division by a fraction means multiplying by its reciprocal, not dividing numerator by numerator and denominator by denominator.

Important Note

If a denominator is zero, the result is undefined and the calculator will warn you.

Frequently Asked Questions

What is a simplified fraction?

A simplified fraction is reduced so the numerator and denominator have no common factor other than 1.

Can I add fractions with different denominators?

Yes. Convert them to a common denominator first, then add the numerators.

What is a reciprocal?

The reciprocal of a/b is b/a. It is used when dividing fractions.

Why is a denominator of zero not allowed?

Division by zero is undefined, so a fraction cannot have zero in the denominator.

Fraction Calculator