What fraction operations are supported?

Addition, subtraction, multiplication, division, exponentiation and simplification. Mixed numbers (e.g. 1 3/4) are supported as inputs and outputs.

Does it always simplify?

Yes — the result is automatically reduced to lowest terms using the greatest common divisor. Mixed-number form is shown alongside the improper-fraction form.

How do I add fractions with different denominators?

Find the least common denominator (LCD), convert each fraction, then add the numerators. The calculator handles this automatically and shows each step.

Fraction Calculator 2026 — Free Online Tool

About the Fraction Calculator

The Fraction Calculator handles addition, subtraction, multiplication and division of any two fractions, including mixed numbers and improper fractions. Results are automatically reduced to their simplest form using the Greatest Common Divisor (GCD). The decimal equivalent is also shown. All calculations run entirely in your browser.

How to Perform Fraction Operations

Addition and subtraction — find the Lowest Common Denominator (LCD), convert both fractions, then add or subtract the numerators. This calculator does all of this automatically.
Multiplication — multiply numerators together and denominators together: (a/b) × (c/d) = (ac)/(bd)
Division — multiply by the reciprocal of the second fraction: (a/b) ÷ (c/d) = (a/b) × (d/c) = (ad)/(bc)

Mixed Numbers and Improper Fractions

A mixed number (e.g. 2½) combines a whole number with a proper fraction. To calculate with mixed numbers, convert them to improper fractions first: multiply the whole number by the denominator and add the numerator (e.g. 2½ = 5/2). This calculator accepts mixed number input directly and handles the conversion for you.

Simplifying Fractions (Lowest Terms)

A fraction is in its simplest (or lowest) form when the numerator and denominator share no common factors other than 1. The simplification process involves finding the GCD of the numerator and denominator, then dividing both by it. For example, 8/12 simplifies to 2/3 because the GCD of 8 and 12 is 4.

Practical Uses for a Fraction Calculator

Maths homework and exam revision for GCSE and A-Level students
Scaling recipes up or down in the kitchen
Working with measurements in woodworking, engineering, or construction
Financial calculations involving fractional interest rates or share prices
Understanding probabilities and ratios in statistics

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Important Note: This tool is intended to provide estimates and should not be used as a substitute for professional advice. Information generated by these calculators may be incomplete and does not account for all individual circumstances. Always seek the counsel of a certified expert (such as a financial advisor, healthcare provider, or licensed engineer) before taking action based on these results.

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½ Fraction Calculator