Fraction Calculator
Add, subtract, multiply, and divide fractions with step-by-step solutions. Convert between mixed numbers and improper fractions, and see decimal equivalents. All calculations happen locally — nothing leaves your browser.
How to Use the Fraction Calculator
- Enter two fractions — type numerator and denominator for each.
- Choose an operation — add, subtract, multiply, or divide.
- See the result — view as improper fraction, mixed number, or decimal.
- Review steps — see the common denominator and simplification process.
Understanding Fractions
A fraction represents a part of a whole: numerator/denominator. The numerator is how many parts you have; the denominator is how many equal parts make the whole.
Adding/Subtracting: Find a common denominator, then add/subtract numerators. Multiplying: Multiply numerators and denominators directly. Dividing: Multiply by the reciprocal of the second fraction.
Frequently Asked Questions
An improper fraction has a numerator larger than or equal to the denominator (e.g., 7/4). It can be converted to a mixed number: 7/4 = 1 3/4. Both represent the same value.
Find the Greatest Common Divisor (GCD) of the numerator and denominator, then divide both by it. For example, 8/12 simplifies to 2/3 because GCD(8,12) = 4.
First find the least common denominator (LCD) for both fractions, then multiply each numerator so both fractions have the same denominator. Add the numerators together while keeping the denominator the same. Finally, simplify the result if possible. For example, 1/3 + 1/4 = 4/12 + 3/12 = 7/12.
Use Cases
Different Denominator Addition
Add fractions with different denominators by finding common denominators and performing the calculation step-by-step.
Improper Fraction Conversion
Convert improper fractions to mixed numbers to better understand quantities in cooking, construction, or educational contexts.
Recipe Fraction Multiplication
Multiply fractions for recipes to scale ingredients up or down while maintaining accurate proportions in cooking.
Fraction Size Comparison
Compare fraction sizes to determine which is larger or smaller for decision-making in measurements and calculations.
Fraction Simplification
Simplify fractions to lowest terms to make calculations easier and present results in their most reduced form.