Β½ Fraction Calculator
Add, subtract, multiply, and divide fractions and mixed numbers
π 100% client-side processing
Result
Decimal
Display:
How to Use
- Enter both operands: Type a fraction (7/4), mixed number (1 3/4), decimal (2.5), or integer in each field
- Choose the operation: Select +, β, Γ, or Γ·
- View the result: The answer appears instantly, simplified to lowest terms
- Toggle the display: Switch between improper fraction and mixed number
- Check the steps: For + and β, click Show Steps to see the common-denominator work
Features
- Four operations β add, subtract, multiply, and divide two fractions
- Mixed number support β enter and display values like 1 3/4
- Auto-simplification β results are always reduced via GCD
- Decimal to fraction β continued fractions conversion with a max denominator of 10,000 (0.333 β 1/3)
- Step-by-step solutions β common-denominator work shown for addition and subtraction
- Copy results β copy the equation and steps to your clipboard with one click
Use Cases
- Math homework: Check fraction arithmetic with full working shown
- Cooking and baking: Scale recipes that use fractional cups and spoons
- Woodworking and DIY: Add and subtract fractional inch measurements
- Unit conversion: Turn decimals into exact fractions for precise measurements
Related Tools
Frequently Asked Questions
What input formats does the fraction calculator accept?
Each operand can be a proper or improper fraction (3/4, 7/4), a mixed number (1 3/4), a decimal (2.5), or a plain integer. Decimals are converted to fractions using continued fractions.
How does decimal to fraction conversion work?
Decimals are converted with the continued fractions algorithm, which finds the closest simple fraction with a denominator up to 10,000. That is why 0.333 becomes 1/3 instead of 333/1000.
Are results simplified automatically?
Yes. Every result is reduced to lowest terms via the greatest common divisor, and you can toggle the display between an improper fraction and a mixed number.
What happens if I divide by zero?
Division by a zero fraction is not allowed β the calculator shows an error instead of a result.