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Fraction Calculator

Add, subtract, multiply and divide fractions with working shown.

Calculators Free, no sign-up Runs in your browser
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Simplified fraction
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Mixed number
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Decimal
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Percentage

Working

    About the Fraction Calculator

    Fraction Calculator works with fractions the way they are written rather than converting everything to decimals and back. Enter two fractions, choose an operation, and you get an exact answer in its simplest form, along with the decimal and percentage equivalents.

    Mixed numbers are supported on both sides, so two and a half can be entered as a whole number with a fraction rather than as five halves. The result is offered as both an improper fraction and a mixed number, since which one you want depends on what you are doing with it.

    The working is shown step by step: finding the common denominator, converting each fraction, performing the operation, and dividing by the greatest common divisor to simplify. That makes it usable for checking homework, where the method matters as much as the answer.

    How to use the Fraction Calculator

    1. Enter the first fractionNumerator and denominator, with an optional whole number.
    2. Choose an operationAdd, subtract, multiply or divide.
    3. Enter the second fractionSame format.
    4. Read the answer and the workingSimplified result, mixed number, decimal and the steps taken.

    Features

    • Addition, subtraction, multiplication and division
    • Mixed numbers on both sides
    • Automatic simplification to lowest terms
    • Result as an improper fraction and a mixed number
    • Decimal and percentage equivalents
    • Step-by-step working shown
    • Clear message when dividing by zero
    • Handles negative fractions

    Who uses this tool

    The fraction calculator is used by writers, developers, students, marketers and anyone else who needs the job done once without installing software. Common cases include:

    • Checking homework on fractions
    • Scaling a recipe by a fractional amount
    • Adding measurements written in fractions of an inch
    • Converting a fraction to a decimal or percentage
    • Simplifying an awkward fraction

    Frequently asked questions

    How are fractions simplified?

    By dividing the numerator and denominator by their greatest common divisor, found with the Euclidean algorithm. That gives the lowest terms in one step rather than by repeated guessing.

    What is the difference between an improper fraction and a mixed number?

    An improper fraction has a numerator larger than its denominator, such as seven quarters. A mixed number writes the same value as a whole number plus a proper fraction, one and three quarters. Both are shown because different contexts prefer different forms.

    How do I enter a mixed number?

    Put the whole part in its own field and the fraction in the numerator and denominator fields. Two and a half is a whole number of 2 with a fraction of 1 over 2.

    What happens if the denominator is zero?

    The calculation stops with a message. Division by zero is undefined, so there is no answer to give.

    Are negative fractions supported?

    Yes. Put the minus sign on the whole number or the numerator. The sign is handled correctly through every operation and normalised in the result.

    Why does the decimal sometimes repeat?

    Because a fraction whose denominator has prime factors other than 2 and 5 has no finite decimal form. One third is the familiar example. The decimal shown is rounded, while the fraction result stays exact.

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