Fraction Calculator - Free Online Fraction Calculator
Add, subtract, multiply, and divide fractions. Get results in improper fraction, mixed fraction, and decimal formats with step-by-step explanations.
Results are estimates. Not professional advice.
A fraction calculator is a useful tool for performing arithmetic operations on fractions. Whether you need to add, subtract, multiply, or divide fractions, this calculator simplifies the process and provides results in multiple formats for better understanding.
How to Use the Fraction Calculator
- Enter Fraction 1: Enter the numerator and denominator of the first fraction.
- Select Operation: Choose the operation you want to perform: addition (+), subtraction (−), multiplication (×), or division (÷).
- Enter Fraction 2: Enter the numerator and denominator of the second fraction.
- Click Calculate: Get your result in improper fraction, mixed fraction, and decimal formats.
Fraction Operations
- Addition: To add fractions, find a common denominator, add the numerators, and simplify.
- Subtraction: To subtract fractions, find a common denominator, subtract the numerators, and simplify.
- Multiplication: To multiply fractions, multiply the numerators and denominators, then simplify.
- Division: To divide fractions, multiply by the reciprocal of the second fraction, then simplify.
Understanding Fraction Formats
- Improper Fraction: A fraction where the numerator is greater than or equal to the denominator (e.g., 5/4).
- Mixed Fraction: A combination of a whole number and a proper fraction (e.g., 1 1/4).
- Decimal: The decimal representation of the fraction (e.g., 1.25).
Fraction Simplification
Fractions are automatically simplified using the greatest common divisor (GCD). This ensures that fractions are in their simplest form, making them easier to understand and work with.
Examples
- Addition: 1/2 + 1/3 = 5/6 (mixed: 0 5/6, decimal: 0.83333333)
- Subtraction: 3/4 - 1/4 = 1/2 (mixed: 0 1/2, decimal: 0.5)
- Multiplication: 2/3 × 3/4 = 1/2 (mixed: 0 1/2, decimal: 0.5)
- Division: 1/2 ÷ 1/4 = 2/1 (mixed: 2, decimal: 2.0)
Frequently Asked Questions
How do I add fractions?
To add fractions, you need a common denominator. Multiply each fraction by the appropriate factor to get the same denominator, then add the numerators. For example, 1/2 + 1/3 = 3/6 + 2/6 = 5/6.
How do I subtract fractions?
To subtract fractions, find a common denominator, then subtract the numerators. For example, 3/4 - 1/4 = 2/4 = 1/2 (simplified).
How do I multiply fractions?
To multiply fractions, multiply the numerators together and the denominators together, then simplify. For example, 2/3 × 3/4 = 6/12 = 1/2 (simplified).
How do I divide fractions?
To divide fractions, multiply the first fraction by the reciprocal (flipped version) of the second fraction. For example, 1/2 ÷ 1/4 = 1/2 × 4/1 = 4/2 = 2.