Fraction Calculator
Add, subtract, multiply, and divide fractions with automatic simplification to lowest terms and mixed number conversion.
Fraction Operation
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=
Fraction Operations
Addition
a/b + c/d = (ad + bc) / bd
Find common denominator and add numerators
Subtraction
a/b - c/d = (ad - bc) / bd
Find common denominator and subtract numerators
Multiplication
a/b × c/d = (a × c) / (b × d)
Multiply numerators and denominators
Division
a/b ÷ c/d = a/b × d/c
Multiply by the reciprocal
Fraction Tips
- •Always simplify fractions to lowest terms
- •Convert improper fractions to mixed numbers when needed
- •Check your work by converting to decimals
- •Use cross multiplication to verify equivalence
- •Remember: dividing is the same as multiplying by the reciprocal
Understanding Fractions
Fraction Basics
- •A fraction represents a part of a whole
- •The numerator is the top number (parts we have)
- •The denominator is the bottom number (total parts)
- •Equivalent fractions represent the same value
Simplification
- •Find the Greatest Common Divisor (GCD)
- •Divide both numerator and denominator by GCD
- •Simplified fractions are easier to work with
- •Mixed numbers show whole and fractional parts