Navigation
๐Ÿ  Home๐Ÿงฎ All Tools ๐Ÿ”ฌ Scientific ๐Ÿ”— GCF Calculator

ยฝ Fraction Calculator

Add, subtract, multiply, and divide fractions. Results are automatically simplified to the lowest terms and shown as both fraction and decimal.

ยฝFraction Calculator
=
?
?
Result (simplified)โ€”
As Decimalโ€”
As Mixed Numberโ€”
Stepsโ€”

What is a Fraction Calculator?

A Fraction Calculator performs addition, subtraction, multiplication, and division on fractions, automatically simplifying the result to its lowest terms.

How It Works

For addition and subtraction, the tool finds a common denominator before combining numerators. For multiplication, it multiplies numerators and denominators directly, then simplifies.

How to Use This Tool

Enter the numerator and denominator of your first fraction. Select the operation. Enter the numerator and denominator of your second fraction. Click Calculate to see the simplified result.

Examples

Example 1: 1/2 plus 1/3 equals 5/6 after finding the common denominator of 6.

Example 2: 2/3 times 3/4 equals 6/12, which simplifies to 1/2.

Example 3: 3/4 divided by 1/2 equals 3/2, found by multiplying by the reciprocal.

Common Use Cases

Solving math homework involving fraction operations. Scaling recipe ingredients that use fractional measurements. Calculating fractional shares in business or finance. Construction and woodworking measurements involving fractions of an inch.

Frequently Asked Questions

Why do fractions need a common denominator for addition. Because you can only directly add or subtract parts that are divided into the same sized pieces.

What does it mean to simplify a fraction. Reducing it to the smallest equivalent numerator and denominator using their greatest common factor.

How is fraction division different from multiplication. Division flips the second fraction into its reciprocal before multiplying.

Can this tool handle mixed numbers. Many fraction calculators support converting mixed numbers to improper fractions first.

What is an improper fraction. A fraction where the numerator is larger than the denominator, like 7/4.