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  4. Fraction Calculator

Fraction Calculator

Add, subtract, multiply, divide, simplify, and convert fractions and mixed numbers.

General

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How it works

Operate on fractions and mixed numbers, simplify with GCD, and convert between fractions and decimals. Denominators cannot be zero.

a/b ± × ÷ c/d → reduced form

When to use

Use Fractions for a/b ops, Mixed for whole+fraction, Simplify to reduce, convert tabs for decimals, and Big numbers for huge integers.

How to use this tool

  1. Enter your values in the fields above.
  2. Review the formula and any mode options for your problem.
  3. Read the result and the step-by-step solution.

Use Fractions for a/b ops, Mixed for whole+fraction, Simplify to reduce, convert tabs for decimals, and Big numbers for huge integers.

Frequently asked questions

What is the Fraction Calculator?
Operate on fractions and mixed numbers, simplify with GCD, and convert between fractions and decimals. Denominators cannot be zero.
How do I use the Fraction Calculator?
Enter the required values, then calculate. The Fraction Calculator shows results, formulas, and step-by-step work when available. No account is required.
What formula does the Fraction Calculator use?
a/b ± × ÷ c/d → reduced form

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Fraction calculator

Numerator above the line, denominator below. Choose +, −, ×, or ÷ — results are reduced automatically.

=
?

Fields above the bar are numerators; fields below are denominators.

Try an example

How it works

What is a fraction?

A fraction represents a part of a whole: numerator over denominator. The denominator cannot be 0. For example, 3/8 means three of eight equal parts.

Addition and subtraction

Add or subtract after finding a common denominator: a/b + c/d = (ad + bc) / (bd) Example: 3/4 + 1/6 = 11/12. Using the LCM of the denominators often keeps intermediates smaller.

Multiplication and division

Multiply numerators and denominators: (a/b)×(c/d) = ac/bd. Divide by multiplying by the reciprocal: (a/b)÷(c/d) = (a/b)×(d/c) = ad/bc. Example: (3/4)÷(1/6) = 9/2.

Simplification

Divide numerator and denominator by their GCD. Results are shown as a mixed number when helpful, and always as a reduced improper fraction.

Fractions and decimals

A terminating decimal like 0.1234 is 1234/10000, then reduced. Converting a fraction to a decimal is division of numerator by denominator.

Big number fractions

When numerators or denominators are huge integers, ordinary floating-point math loses precision. The Big numbers mode keeps every digit exact using arbitrary-precision integers, then reduces with an exact GCD.