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Fraction Calculator

Add, subtract, multiply or divide two fractions. Enter each numerator and denominator, pick the operation, and the answer comes back in lowest terms, as a mixed number and as a decimal. The arithmetic is done with whole numbers, so there is no rounding error.

Quick examples

Whole numbers only; a denominator cannot be 0.

Your numbers stay in your browser. Nothing is uploaded.
Answer (simplified)5/6
As a mixed number
5/6
As a decimal
0.833333

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      Formula

      a/b + c/d = (a × d + b × c) / (b × d)
      a/b − c/d = (a × d − b × c) / (b × d)
      a/b × c/d = (a × c) / (b × d)
      a/b ÷ c/d = (a × d) / (b × c)
      Simplify by dividing the top and bottom by their greatest common factor

      How to use it

      1. Enter the numerator and denominator of the first fraction.
      2. Choose add, subtract, multiply or divide.
      3. Enter the second fraction.
      4. Read the simplified answer, its mixed-number form and its decimal value.

      Worked examples

      1/2 + 1/3

      Answer (simplified)
      5/6
      As a mixed number
      5/6
      As a decimal
      0.833333

      3/4 ÷ 2/5

      Answer (simplified)
      15/8
      As a mixed number
      1 7/8
      As a decimal
      1.875

      3/4 − 1/6

      Answer (simplified)
      7/12
      As a decimal
      0.583333

      Adding and subtracting

      Fractions can only be added or subtracted once they share a denominator. For 1/2 + 1/3, rewrite both over 6: 3/6 + 2/6 = 5/6. The cross-multiplying formula above does the same thing in one step and the result is then reduced.

      Multiplying and dividing

      To multiply, multiply the tops together and the bottoms together — no common denominator needed. To divide, keep the first fraction, flip the second, and multiply: 3/4 ÷ 2/5 = 3/4 × 5/2 = 15/8, or 1 7/8.

      For a negative fraction, put the minus sign on the numerator. For whole numbers, use a denominator of 1.

      Questions people ask

      What is 1/2 + 1/3?

      5/6. Over a common denominator of 6 it is 3/6 + 2/6.

      What is 3/4 divided by 2/5?

      15/8, which is 1 7/8 or 1.875. Flip the second fraction and multiply: 3/4 × 5/2.

      What is 2/3 times 9/10?

      3/5. Multiplying gives 18/30, and dividing the top and bottom by 6 gives 3/5.

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