Fraction Calculator

Add, subtract, multiply or divide fractions, with the working shown.

Answer
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As a mixed number
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As a decimal
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As a percentage
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Before simplifying
Step by step
    How this works
    a/b + c/d = (a·d + c·b) / (b·d) a/b − c/d = (a·d − c·b) / (b·d) a/b × c/d = (a·c) / (b·d) a/b ÷ c/d = (a·d) / (b·c) — flip the second, then multiply
    StepExample: 3/4 + 5/6
    Common denominator4 × 6 = 24
    Rewrite both18/24 + 20/24
    Add the tops38/24
    Simplify by the HCF (2)19/12
    As a mixed number1 7/12
    • Only addition and subtraction need a common denominator. Multiplication and division do not.
    • To divide, flip the second fraction and multiply — dividing by 2/3 is the same as multiplying by 3/2.
    • Simplify by dividing top and bottom by their highest common factor.
    • A denominator of zero has no meaning; nothing can be divided into zero parts.
    How do I add fractions with different denominators?

    Give them a common denominator by multiplying the two together, rewrite both fractions, add the numerators, then simplify. For 3/4 + 5/6 that is 18/24 + 20/24 = 38/24 = 19/12.

    How do I divide one fraction by another?

    Flip the second fraction and multiply. So 3/4 ÷ 5/6 becomes 3/4 × 6/5 = 18/20 = 9/10.

    How do I turn an improper fraction into a mixed number?

    Divide the top by the bottom. The whole-number part is the answer, the remainder stays over the original denominator: 19/12 is 1 remainder 7, so 1 7/12.

    Keep going
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