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Fraction Calculator

Add, subtract, multiply and divide fractions and mixed numbers, with the simplified answer, decimal and every step.

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Preview
Like 3/4, 2 1/2, 5 or 0.75.

Answer

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Steps

    Fraction rules

    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)

    Then simplify by dividing the top and bottom by their greatest common divisor.

    Example

    3/4 + 2/3: the common denominator is 12, so it’s 9/12 + 8/12 = 17/12, which is 1 5/12 as a mixed number, or about 1.4167.

    Frequently asked questions

    How do I type a mixed number?

    Put a space between the whole number and the fraction: 2 3/4 is two and three quarters. You can also type a whole number (5), a plain fraction (7/8), a negative (−1/2) or a decimal (0.75).

    How do you add fractions with different denominators?

    Give them a common denominator first. For 1/2 + 1/3, the lowest common denominator is 6: 3/6 + 2/6 = 5/6. The calculator shows these steps.

    How do you divide fractions?

    Flip the second fraction and multiply: 3/4 ÷ 1/2 = 3/4 × 2/1 = 6/4 = 1 1/2.

    What does simplifying a fraction mean?

    Dividing the top and bottom by their greatest common divisor until nothing more divides both. 18/24 simplifies to 3/4, because 6 divides both.

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