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    Fraction Calculator

    Combine two fractions with any operation and get the answer in every useful form: the raw unsimplified fraction, the reduced lowest-terms fraction via GCD, the decimal value and the mixed number.

    #fraction calculator#add fractions#subtract fractions#multiply fractions#divide fractions

    TheCalculators — Fraction Calculator

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    Live mode: results update as you type.

    Result

    5/6

    = 0.833333 · GCD(5, 6) = 1

    Fraction 1
    1/2
    Fraction 2
    1/3
    Before simplifying
    5/6
    Simplified
    5/6
    Decimal
    0.833333
    Mixed number
    5/6
    GCD removed
    1
    Percentage
    83.333%

    Step-by-step

    1. 1Apply the operation rulea/b + c/d = (a·d + c·b)/(b·d) = (1·3 + 1·2)/(2·3) = (3 + 2)/6
    2. 2Unsimplified result= 5/6
    3. 3Find the GCDGCD(5, 6) = 1 (Euclid’s algorithm)
    4. 4Divide top and bottom5/6 = (5 ÷ 1) / (6 ÷ 1) = 5/6
    5. 5Convert to decimal5 ÷ 6 = 0.833333

    Most useful next

    Result

    5/6

    Formula

    a/b + c/d = (ad + cb)/bd · a/b − c/d = (ad − cb)/bd · a/b × c/d = ac/bd · a/b ÷ c/d = ad/bc

    Pro tips

    • • For addition and subtraction the denominators are cross-multiplied — this works even when they differ.
    • • Dividing by a fraction means multiplying by its reciprocal: a/b ÷ c/d = a/b × d/c.
    • • Always simplify at the end by dividing both parts by their GCD — the calculator does this automatically.

    FAQ

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