Fraction Calculator
Add, subtract, multiply, and divide fractions with step-by-step solutions
Calculate Fractions
First Fraction
Fraction: 1/2
Decimal: 0.500000
Second Fraction
Fraction: 1/3
Decimal: 0.333333
Addition Result
Result Properties:
Step-by-Step Solution
Example Operations
Addition & Subtraction
Multiplication & Division
Operation Guide
Addition
Find common denominator, add numerators
Subtraction
Find common denominator, subtract numerators
Multiplication
Multiply numerators and denominators
Division
Multiply by the reciprocal of second fraction
Fraction Tips
Always simplify fractions to lowest terms
Convert mixed numbers to improper fractions before calculating
Find the LCM for addition and subtraction
Division = multiplication by reciprocal
Check your work by converting to decimals
Understanding Fraction Operations
What Are Fractions?
A fraction represents part of a whole. The numerator (top number) shows how many parts we have, and the denominator (bottom number) shows the total number of equal parts.
Types of Fractions
- •Proper: Numerator < Denominator (e.g., 3/4)
- •Improper: Numerator ≥ Denominator (e.g., 5/3)
- •Mixed: Whole number + proper fraction (e.g., 1⅔)
Operation Rules
Addition/Subtraction
1. Find common denominator (LCM)
2. Convert to equivalent fractions
3. Add/subtract numerators
4. Simplify result
Multiplication
1. Multiply numerators together
2. Multiply denominators together
3. Simplify result
Division
1. Keep first fraction unchanged
2. Find reciprocal of second fraction
3. Multiply the fractions
4. Simplify result
Real-World Applications
Cooking & Recipes
Scaling recipes up or down, combining ingredients
Construction & DIY
Measuring materials, calculating dimensions
Time & Scheduling
Working with parts of hours, time calculations