Math

Fraction Calculator

Add, subtract, multiply or divide two fractions and reduce the result to lowest terms.

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Fraction Calculator

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Fractions, Ratios & Proportions

Fraction arithmetic, decimal-to-fraction conversion, ratios and proportions.

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How to use this fraction calculator

Enter the values requested above and select Calculate. Change any input to compare another scenario. The calculation runs locally in your browser and does not require an account.

Formula and method

For addition and subtraction, use a common denominator. For multiplication, multiply numerators and denominators. For division, multiply by the reciprocal.

Example

For 2/3 + 5/8, the common denominator is 24, so 16/24 + 15/24 = 31/24.

What this calculator is useful for

Add, subtract, multiply or divide two fractions and reduce the result to lowest terms. The result is intended for quick estimates, checking arithmetic and comparing scenarios. When a result affects a contract, tax filing, medical decision, building-code requirement or other high-stakes situation, verify the result with the appropriate professional or authoritative source.

Subtract fractions with unlike denominators

To calculate 3/4 − 1/6, use denominator 12: 9/12 − 2/12 = 7/12. The result is already in lowest terms. Change the operation to division to see why dividing fractions means multiplying by the reciprocal.

Watch for: a denominator of zero is not allowed, and dividing by a fraction with a zero numerator is also undefined. Negative signs can go in a numerator or denominator, but are usually written in the numerator.

Frequently asked questions

What does the Fraction Calculator calculate?

Add, subtract, multiply or divide two fractions and reduce the result to lowest terms.

How does the Fraction Calculator work?

For addition and subtraction, use a common denominator. For multiplication, multiply numerators and denominators. For division, multiply by the reciprocal.

Is the Fraction Calculator free to use?

Yes. ERICH Calculators is free to use and does not require an account.

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Method, assumptions & corrections

See how formulas, sources and limitations are handled across ERICH Calculators.