Fraction Calculator
Calculate fractions with addition, subtraction, multiplication, and division. Get step-by-step solutions with visual representations and automatic simplification.
Fraction Calculator
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Result
Result
5/6
Decimal: 0.833333
Solution Steps
- 1/2 + 1/3
- Find LCD of 2 and 3: 6
- Convert to equivalent fractions: 3/6 + 2/6
- Add numerators: 3 + 2 = 5
- Result: 5/6
What is Fraction Calculator?
A fraction calculator helps you perform arithmetic operations on fractions, including addition, subtraction, multiplication, and division. It automatically simplifies results and shows step-by-step solutions to help you understand the process.
How to Use Fractions
- Numerator: The top number representing parts you have
- Denominator: The bottom number representing total parts
- Proper Fraction: Numerator less than denominator (e.g., 3/4)
- Improper Fraction: Numerator greater than denominator (e.g., 7/4)
- Mixed Number: Whole number plus proper fraction (e.g., 1 3/4)
Fraction Operations
- Addition/Subtraction: Find common denominator, then add/subtract numerators
- Multiplication: Multiply numerators together, denominators together
- Division: Multiply by the reciprocal (flip the second fraction)
- Simplification: Divide numerator and denominator by their GCD
Real-World Applications
- Cooking: Recipe measurements and scaling portions
- Construction: Measurements, cuts, and material calculations
- Time: Parts of an hour, scheduling, and planning
- Money: Portions of income, budgeting, and financial planning
- Education: Grade calculations and academic assessments
Tips for Working with Fractions
- Always simplify your final answer to lowest terms
- Convert mixed numbers to improper fractions for calculations
- Find the least common denominator (LCD) for addition and subtraction
- Remember that dividing by a fraction is the same as multiplying by its reciprocal
- Cross-multiply to check if two fractions are equivalent
FAQ - Fraction Calculator
A proper fraction has a numerator smaller than its denominator (like 3/4), while an improper fraction has a numerator equal to or greater than its denominator (like 7/4 or 4/4).