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Fraction Calculator

Add, subtract, multiply, and divide two fractions with step-by-step explanation, automatic simplification, and mixed, improper, and decimal result views.

Enter two fractions

Fraction A

Whole

Numerator

Denominator

Operation

Fraction B

Whole

Numerator

Denominator

Result

—

Mixed

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Improper

—

Decimal

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Step-by-step solution

Quick examples

Common fraction → decimal

Fraction	Decimal	Fraction	Decimal
1/2	0.5	1/3	0.3333…
2/3	0.6667…	1/4	0.25
3/4	0.75	1/5	0.2
2/5	0.4	3/5	0.6
4/5	0.8	1/6	0.1667…
5/6	0.8333…	1/8	0.125
3/8	0.375	5/8	0.625
7/8	0.875	1/10	0.1

Frequently asked questions

How do I add fractions with different denominators?

Find a common denominator (the least common multiple works best). Rewrite both fractions with that denominator, then add the numerators and keep the denominator. Finally reduce the result using the greatest common divisor. Example: 1/2 + 1/3 = 3/6 + 2/6 = 5/6.

What is the rule for multiplying fractions?

Multiply numerator by numerator and denominator by denominator: (a/b) × (c/d) = (a×c)/(b×d). No common denominator is needed. You can simplify either before or after the multiplication — the final answer is the same. Example: 2/3 × 3/4 = 6/12 = 1/2.

How does fraction division work?

Dividing by a fraction is the same as multiplying by its reciprocal: (a/b) ÷ (c/d) = (a/b) × (d/c) = (a×d)/(b×c). Flip the second fraction, then multiply. Example: 5/6 ÷ 2/3 = 5/6 × 3/2 = 15/12 = 5/4 = 1 1/4.

What is a mixed number vs. an improper fraction?

A mixed number combines a whole number and a proper fraction, e.g. 2 1/4. An improper fraction has a numerator greater than or equal to its denominator, e.g. 9/4. The two forms represent the same value. To convert 2 1/4 to improper form: (2 × 4 + 1)/4 = 9/4.

How are negative fractions handled?

A fraction can have a minus sign on the whole part or on the numerator. The calculator combines them into a single signed improper fraction before computing. For example, −1 1/2 becomes −3/2, and the sign follows the rules of integer arithmetic.

When is a fraction in its simplest form?

A fraction is in simplest form (or lowest terms) when the greatest common divisor of the numerator and denominator is 1. For example, 6/8 is not in simplest form because gcd(6, 8) = 2; dividing both by 2 gives 3/4, which is simplest.

This fraction calculator performs the four arithmetic operations on two fractions — addition, subtraction, multiplication, and division. Each fraction accepts an optional whole part along with a numerator and a denominator, so mixed numbers like 1 1/2 work directly. The calculator converts both inputs to improper fractions, applies the chosen operation, and then reduces the answer using the greatest common divisor. Results are shown in three forms: simplified mixed number, improper fraction, and decimal, so the answer is usable in any context. A step-by-step solution explains finding a common denominator, flipping for division, cross-multiplying, and simplifying. Example: 1 1/2 + 2 1/4 becomes 3/2 + 9/4 = 6/4 + 9/4 = 15/4 = 3 3/4. Another: 5/6 divided by 2/3 equals 5/6 times 3/2 = 15/12 = 5/4 = 1 1/4. Presets cover the most common classroom examples and a fraction-to-decimal reference table is included for quick lookup.