Interactive Fraction ↔ Ratio Converter

Convert between fractions and ratios with automatic simplification. Choose your calculation type and preferred display mode below.

Mathematical Formulas

Understanding the conversion process

Converting Fraction to Ratio

A fraction a/b can be expressed as a ratio a:b.

Fraction a/b = Ratio a:b

Converting Ratio to Fraction

A ratio a:b can be expressed as a fraction a/b.

Ratio a:b = Fraction a/b

Simplification Formula

To simplify, divide both numbers by their greatest common divisor (GCD).

Simplified = (a÷GCD):(b÷GCD)

How to Use the Calculator

Simple steps for accurate conversions

1

Choose Conversion Type

Select whether you want to convert from fraction to ratio or ratio to fraction.

2

Enter Your Values

Input your fraction components or ratio values. The calculator validates inputs automatically.

3

Get Instant Results

Click calculate to see your conversion with automatic simplification and visual representation.

Frequently Asked Questions

Although ratios and fractions are mathematically similar, they serve different purposes. A fraction (a/b) represents a part of a whole, where the denominator represents the total number of equal parts. A ratio (a:b) compares quantities, showing relative sizes without implying a whole.

To simplify a ratio or fraction, divide both numbers by their greatest common divisor (GCD). For example, to simplify 8/12, find the GCD (4), then divide: 8÷4=2 and 12÷4=3, giving you 2/3 or 2:3.

While ratios and fractions typically use whole numbers, they can include decimals. Our calculator converts them to whole numbers by multiplying both sides by an appropriate factor. For example, 1.5:2.5 becomes 3:5.

The GCD is the largest number that divides two numbers without leaving a remainder. Our calculator automatically finds the GCD to simplify your fractions and ratios to their lowest terms.

Yes! Our calculator uses precise mathematical algorithms with 15+ decimal accuracy. It’s trusted by students, teachers, and professionals worldwide for homework, research, and professional calculations.

No questions found

Try searching with different keywords or browse all questions above.