Fraction Calculator

How it works

Perform addition, subtraction, multiplication, and division with fractions.

Simplify, add, subtract, multiply, and divide fractions

Description

The Fraction Calculator is an essential tool for working with rational numbers. It allows you to perform basic arithmetic operations (+, -, ×, ÷) between two fractions and provides the result in its simplest form. Whether you are checking homework or scaling a recipe, this tool eliminates the need for finding common denominators manually.

Inputs

• Fraction 1: Numerator and Denominator inputs.
• Operation: Addition (+), Subtraction (-), Multiplication (×), or Division (÷).
• Fraction 2: Numerator and Denominator inputs.

Outputs

• Simplified Fraction: The final reduced result (e.g., 2/4 becomes 1/2).
• Decimal: The result converted to a floating-point number.
• Unsimplified Fraction: The raw result of the calculation before reduction.

Chart

• N/A: This tool provides a direct numeric mathematical result.

“Good to Know”

• Greatest Common Divisor (GCD): This tool uses the Euclidean algorithm to find the GCD and automatically reduce your fractions to the lowest possible terms.
• Division by Zero: The calculator will prevent calculations if a denominator is set to zero, as this is mathematically undefined.
• Improper Fractions: The tool handles improper fractions (where the numerator is larger than the denominator) natively.

Examples

Example 1: Basic Addition

• Input: 1/2 + 1/3
• Output:
  • Simplified: 5/6
  • Decimal: 0.8333

Example 2: Multiplication and Reduction

• Input: 2/3 * 3/4
• Output:
  • Simplified: 1/2
  • Unsimplified: 6/12

Example 3: Division

• Input: 1/2 ÷ 1/4
• Output:
  • Simplified: 2/1
  • Decimal: 2.0000