Fraction Calculator

Add, subtract, multiply, or divide fractions and get step-by-step solutions

Fraction Operations

Addition

a/b + c/d = (ad + bc)/(bd)

Find common denominator first

Subtraction

a/b - c/d = (ad - bc)/(bd)

Find common denominator first

Multiplication

a/b × c/d = (ac)/(bd)

Multiply numerators and denominators

Division

a/b ÷ c/d = (ad)/(bc)

Multiply by reciprocal

Benefits & Features

Our fraction calculator offers multiple advantages:

Comprehensive Operations

  • Add, subtract, multiply, and divide fractions
  • Convert between different formats
  • Simplify fractions automatically
  • Handle mixed numbers
  • Step-by-step solutions

Multiple Display Options

  • View results as fractions
  • Convert to decimals
  • Show as percentages
  • Display mixed numbers
  • Simplified forms

Educational Features

  • Step-by-step explanations
  • Visual fraction representations
  • Common denominator finding
  • Fraction simplification process
  • Practice problems

Frequently Asked Questions

To add or subtract fractions, they must have the same denominator. If they don't, find a common denominator first by multiplying the denominators. Then add or subtract the numerators while keeping the same denominator. Finally, simplify the result if possible.

To multiply fractions, multiply the numerators together and multiply the denominators together. For example, (a/b) × (c/d) = (ac)/(bd). Then simplify the result if possible.

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, (a/b) ÷ (c/d) = (a/b) × (d/c) = (ad)/(bc). Then simplify the result if possible.

A mixed number is a whole number plus a fraction, like 3½. To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator, then put this over the denominator. For example, 3½ = 7/2.