About this Fraction Calculator
Fractions represent parts of a whole. Adding or subtracting them requires finding a common denominator, which can be tricky. This calculator handles the math for you and simplifies the final result to its lowest terms.
Who this calculator is for
- Students learning fraction arithmetic and simplification.
- Teachers and parents helping with homework or practice problems.
- Anyone comparing or combining parts of a whole.
When to use it
- Use this calculator to add, subtract, multiply, or divide fractions.
- Use it when you need the result in lowest terms without doing the simplification by hand.
- Use it to compare fractional amounts in recipes, measurements, or homework.
How to use this calculator
- Enter the numerator (top) and denominator (bottom) for the first fraction.
- Select the Operation (+, -, ×, ÷).
- Enter the second fraction.
- The result shows the simplified fraction and decimal value.
Key assumptions
- Each input is a simple fraction with a non-zero denominator.
- Mixed numbers should be converted to improper fractions before use.
- The final result is simplified to lowest terms.
Accuracy and testing
Review formula sources, default test cases, assumptions, unit handling, rounding rules, and changelog for this calculator.
How this calculator works
The calculator finds a common denominator for addition/subtraction. For multiplication, it multiplies numerators and denominators straight across. For division, it flips the second fraction (reciprocal) and multiplies.
Inputs explained
Numerator
The top number of the fraction, representing how many parts you have.
Denominator
The bottom number, representing how many parts make up a whole.
Understanding your results
The output provides the result in Lowest Terms (e.g., 2/4 becomes 1/2). It also provides the Decimal Value for easy comparison.
Example scenarios
Addition
1/2 + 1/3 = 3/6 + 2/6 = 5/6.
Multiplication
2/3 × 3/4 = 6/12 = 1/2.
Key Features
- Instant Calculation
- Private & Secure
- Mobile Optimized
Glossary of Terms
- LCD
- Least Common Denominator. The smallest number that both denominators can divide into.
- Reciprocal
- The result of flipping a fraction upside down (e.g., reciprocal of 2/3 is 3/2).