Fraction Calculator

Use this free fraction calculator to add, subtract, multiply, divide, and simplify fractions with step-by-step work.
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About Fraction Calculations

Fractions represent parts of a whole number and are essential in mathematics.

Operations:

  • Addition: Find common denominator, add numerators
  • Subtraction: Find common denominator, subtract numerators
  • Multiplication: Multiply numerators and denominators
  • Division: Multiply by the reciprocal (invert and multiply)

Fraction Types:

  • Proper: Numerator smaller than denominator (3/4)
  • Improper: Numerator larger than denominator (7/4)
  • Mixed Number: Whole number and fraction (1 3/4)
  • Equivalent: Same value, different numbers (1/2 = 2/4)

Always simplify fractions to their lowest terms for the most accurate representation.

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How our fraction calculator works

1

Enter your fractions

Type the numerators and denominators. We support proper fractions, improper fractions, mixed numbers, and decimals.

2

Pick an operation

Add, subtract, multiply, divide, simplify, or convert between forms. Each operation uses the standard math algorithm with step-by-step display.

3

Get the simplified result

See the answer in lowest terms, as a mixed number, and as a decimal. The fraction calculator also shows the common denominator used in the work.

Key things to know about our fraction calculator:

  • Finding common denominators: For 1/4 + 1/6, the LCD is 12, giving 3/12 + 2/12 = 5/12. Our fraction calculator handles this automatically for any denominator.
  • Mixed numbers: An improper fraction like 7/4 is shown as the mixed number 1 3/4 for easier reading. Switch formats in the result panel.
  • Use with decimals: For terminating and repeating decimal conversions, use the decimal to fraction calculator alongside the fraction calculator.

For related calculations, try our decimal to fraction calculator.

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