Fraction Calculator: Add, Subtract, Multiply, Divide and Mixed Numbers

What is it?

The Fraction Calculator adds, subtracts, multiplies and divides fractions and mixed numbers, and gives the Answer simplified, as a Mixed number and as a Decimal.

Who is it for?

School students, parents helping with homework, and cooks or carpenters working with fractions.

How to use it

  1. Type the First fraction (e.g. 1/2 or 1 1/2). For a mixed number, put a space between the whole number and the fraction.
  2. Choose the Operation and type the Second fraction.

How the methods work

  • Add or subtract: use a common denominator (the LCM): 1/4 + 1/6 = 3/12 + 2/12 = 5/12.
  • Multiply: top × top, bottom × bottom: 2/3 × 3/4 = 6/12 = 1/2.
  • Divide: flip the second and multiply: 1/2 ÷ 1/4 = 1/2 × 4/1 = 2.

Common mistakes

  • Typing 1/1/2 instead of 1 1/2.
  • Negative mixed numbers: −1 1/2 means −(1 + 1/2) = −1.5.
  • A zero denominator has no answer.

Worked examples

  • 1/2 + 1/3 = 3/6 + 2/6 = 5/6.
  • 2 1/4 − 3/4 = 9/4 − 3/4 = 6/4 = 1 1/2.
  • 3/4 × 2/3 = 6/12 = 1/2.
  • 1 1/2 ÷ 1/4 = 3/2 × 4/1 = 12/2 = 6.

Everyday uses

Doubling a recipe that needs 3/4 cup gives 1 1/2 cups; cutting 2 1/2 metres of cloth into pieces of 3/4 metre gives 3 pieces with 1/4 metre left.

Errors and how to fix them

  • Could not read “…”: write fractions like 3/4 or 1 1/2.
  • “The bottom number cannot be 0” or “Cannot divide by zero”

Open the tool: Fraction Calculator

Still stuck?

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Questions, or an error not listed here?

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