Calculators

Fraction Calculator

Add, subtract, multiply, or divide two fractions and get a simplified result, mixed number, and decimal equivalent, right in your browser.

Fraction Calculator Tool

Calculate with Fractions

Result
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Enter two fractions and an operation to calculate.

How Fraction Calculations Work

A fraction represents a part of a whole, written as a numerator (the top number) over a denominator (the bottom number). Combining two fractions works differently depending on the operation:

Addition & Subtraction

a/b ± c/d = (a×d ± c×b) ÷ (b×d)

Both fractions are rewritten over a common denominator (here, the product of the two denominators) before their numerators are combined.

Multiplication

a/b × c/d = (a×c) ÷ (b×d)

Multiply straight across: numerator by numerator, denominator by denominator.

Division

a/b ÷ c/d = a/b × d/c

Dividing by a fraction is the same as multiplying by its reciprocal (flip the second fraction upside down).

Example

1/2 + 1/4

Common denominator: 2 × 4 = 8
(1×4) + (1×2) = 4 + 2 = 6
Result: 6/8, simplified ÷ GCD(6, 8) = 2

Answer: 3/4
7/3 (already in lowest terms)

Improper Fraction: 7/3
Mixed Number: 2 1/3
Decimal: 2.333333...

Frequently Asked Questions

How do you add or subtract fractions with different denominators?

Convert both fractions to a common denominator first (this calculator uses the product of the two denominators), combine the numerators, then simplify the result to lowest terms. For example, 1/2 + 1/4 becomes 2/4 + 1/4 = 3/4.

How do you multiply fractions?

Multiply the numerators together and the denominators together, then simplify. 2/3 x 3/4 = 6/12, which simplifies to 1/2.

How do you divide fractions?

Multiply the first fraction by the reciprocal of the second (flip its numerator and denominator). 1/2 / 1/4 becomes 1/2 x 4/1 = 4/2, which simplifies to 2/1 (2).

What is an improper fraction?

An improper fraction has a numerator larger than its denominator, like 7/3. It represents a value greater than 1 and can also be written as a mixed number, like 2 1/3.

How are negative fractions simplified?

The sign is always normalized onto the numerator. -2/4 simplifies to -1/2, not 1/-2, so the denominator you see is never negative.

Why can't I divide by a fraction with a zero numerator?

Dividing by a fraction means multiplying by its reciprocal, and a fraction like 0/5 has no reciprocal (you'd need to divide by zero to flip it). This calculator blocks that case with a clear error instead of returning an incorrect result.

Is my data uploaded anywhere?

No. Every calculation happens locally in your browser using JavaScript. Nothing you enter here is sent to Brekzy or stored anywhere.

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