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Math & Numbers Runs in browser Updated 30 Mar 2026

Fraction Calculator

Add, subtract, multiply, or divide fractions with step-by-step solutions. Simplify, convert between decimals and percentages, and work with mixed numbers.

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Enter both fractions to see the result.

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Decimal

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Percentage

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    Formulae

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

    a/b - c/d = (ad - bc) / bd

    a/b × c/d = ac / bd

    a/b ÷ c/d = ad / bc

    GCD = greatest common divisor (for simplification)

    LCD = least common denominator (for +/-)
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    How to use Fraction Calculator

    1. Enter the first fraction

      Type the numerator and denominator. Toggle 'Mixed' to include a whole number part for mixed numbers like 2¾.

    2. Choose an operation

      Select add (+), subtract (−), multiply (×), or divide (÷) using the operation buttons.

    3. Enter the second fraction

      Type the numerator and denominator of the second fraction.

    4. Read the simplified result

      The answer in lowest terms appears instantly with the formula applied.

    5. View step-by-step working

      Click 'Show steps' to see how the LCD was found, how fractions were converted, and how the result was simplified.

    6. Convert to decimal or percentage

      The conversion panel shows the decimal and percentage equivalent of the result.

    Fraction Calculator FAQ

    How do I add fractions with different denominators?
    Find the least common denominator (LCD) of both fractions, convert each to an equivalent fraction with that denominator, then add the numerators. Example: 1/3 + 1/4 → LCD=12 → 4/12 + 3/12 = 7/12.

    How do I subtract fractions?
    Same as addition: find the LCD, convert both fractions, subtract the numerators, then simplify. Example: 3/4 − 1/6 → LCD=12 → 9/12 − 2/12 = 7/12.

    How do I multiply fractions?
    Multiply the numerators together and the denominators together, then simplify. Example: 2/3 × 3/4 = 6/12 = 1/2.

    How do I divide fractions?
    Multiply by the reciprocal of the second fraction. Example: 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6.

    How do I simplify a fraction?
    Divide both numerator and denominator by their greatest common divisor (GCD). Example: 12/18 — GCD is 6 — simplifies to 2/3.

    What is a mixed number?
    A mixed number has a whole part and a fraction part, like 2¾. It equals the whole number plus the fraction (2 + 3/4 = 11/4 as an improper fraction).

    What is an improper fraction?
    An improper fraction has a numerator greater than or equal to the denominator, like 11/4. It equals the mixed number 2¾.

    Can I use this for homework?
    Yes. The step-by-step working shows every stage from finding the LCD to final simplification, making it ideal for checking homework.

    What if I divide by zero?
    The calculator detects zero denominators and displays a clear error message rather than computing an undefined result.

    Is any data sent to a server?
    No. All calculations run entirely in your browser. Nothing is uploaded or stored.

    Background

    Solve fraction arithmetic with automatic simplification and full step-by-step working shown. Enter two fractions using numerator and denominator fields, choose add, subtract, multiply, or divide, and get the result reduced to lowest terms instantly. Mixed-number toggle lets you work with values like 2¾ directly. The step-by-step breakdown shows how the least common denominator (LCD) was found and how simplification was applied — so you can learn the method, not just copy the answer. A conversion panel shows the decimal and percentage equivalents of the result. Handles improper fractions and edge cases like division by zero gracefully. Useful for students from elementary through algebra, plus anyone who needs to combine fractional measurements in cooking, construction, or finance. All processing runs entirely in your browser — nothing is uploaded or stored.

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