How do you simplify a fraction?

Divide both numerator and denominator by their greatest common divisor (GCD). For example, 18/24 → GCD(18,24) = 6 → 3/4.

Can I add mixed numbers like 2 1/3 + 1 1/2?

Yes. Convert each mixed number to an improper fraction, perform the operation, then convert back to a mixed number. The calculator here does it automatically.

Does this calculator convert fractions to decimals and percent?

Yes. Every result is shown in simplest form, as a mixed number (if applicable), as a decimal and as a percent.

Fraction Calculator & Simplifier | Add, Subtract, Multiply, Divide Fractions

Calculator

Fraction 1

Operation

Fraction 2

Results

Result (simplest fraction)

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Mixed number

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Decimal

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Percent

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Steps

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What is a fraction?

A fraction represents a part of a whole and is written as \( \frac{a}{b} \), where \(a\) is the numerator and \(b\) is the denominator. In Italian, “fraction” in the mathematical sense is “frazione”.

In English, fraction can also mean “a very small part” (Italian: “una piccola parte”, “minima parte”). This page focuses on the mathematical tool.

Basic fraction operations

Add/Subtract: \( \frac{a}{b} \pm \frac{c}{d} = \frac{ad \pm bc}{bd} \)

Multiply: \( \frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd} \)

Divide: \( \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} = \frac{ad}{bc} \)

How to simplify a fraction

Find the greatest common divisor (GCD) of numerator and denominator.
Divide both by the GCD.
Ensure denominator is positive.

FAQ

Can it parse “2 1/2”?

Yes. It’s converted to \(\frac{5}{2}\) internally.

What about decimals?

Decimals are converted to fractions by counting decimal places. For example 0.125 → 125/1000 → 1/8.