ratio.

Find a tool

Browse all tools and categories ↗
MATHEMATICS

Fraction Calculator

Add, subtract, multiply or divide fractions and mixed numbers. Follow exact fraction steps, simplification and a number-line diagram.

Enter your values

01 / INPUT

Fields marked as calculated are solved from the other inputs. Their unit selectors remain available.

Calculated on your device

YOUR CALCULATION

Result

—

Calculation steps

Work through one step at a time or reveal the complete calculation. The steps use your current inputs.

    How to calculate

    For addition and subtraction, put both fractions over a common denominator. For multiplication, multiply numerators and denominators. For division, multiply by the reciprocal of the second fraction. Divide the final numerator and denominator by their greatest common divisor.

    a/b + c/d = (ad + bc)/(bd); (a/b) ÷ (c/d) = ad/(bc)

    Worked example

    1/2 + 1/3 = 3/6 + 2/6 = 5/6. For 1 1/2 ÷ 3/4, convert the mixed number to 3/2, then multiply by 4/3 to obtain 2.

    Assumptions and input details

    Use signed integers, fractions such as -2/3, or mixed numbers such as -1 1/2. A minus sign applies to the whole mixed number. Exact results use integer arithmetic; decimal results are approximations.

    Using this calculator

    Can I enter my own problem?

    Yes. Replace the example values with your own inputs. The result, calculation steps, tables and applicable diagrams update from those inputs. Blank or invalid values clear the result; example values are never silently substituted for missing inputs.

    Are the results exact?

    Reduced fractions use exact integer arithmetic. Decimal and percentage displays are approximate.

    Is my input uploaded?

    The calculation runs in your browser. No account, file upload or external AI service is required. Inputs are not saved between page reloads.

    RELATED TOOL · MATHEMATICSPercentage Calculator

    Find a percentage of a value, percentage change, or the percentage represented by a part. See substituted numbers, steps and a number line.

    RELATED TOOL · MATHEMATICSScientific Notation Calculator

    Write a number in normalized scientific notation, choose significant digits and inspect its coefficient, exponent and rounded decimal value.

    RELATED TOOL · GEOMETRYHypotenuse Calculator

    Find the diagonal of a right triangle or rectangle. Mix length units and compare 21 unit conversions with a triangle diagram.

    ADVERTISEMENT

    A little space to keep the tools free.