Ratio Calculator
Calculate ratios, simplify them, and compare if two ratios are equivalent. Perfect for students, teachers, and professionals working with proportions.
Ratio Calculator
Calculate ratios, simplify them, and compare if two ratios are equivalent
Enter Your Ratios
About Ratios
• Ratios compare two quantities using division
• Equivalent ratios have the same simplified form
• Cross-multiplication tests for equivalence
• Simplified ratios show the lowest terms
Common Ratio Examples
Understanding Ratios
A ratio is a mathematical expression that compares two quantities by division. It shows the relative size of two values and is often written in the form a:b, where a and b are numbers.
Ratios are fundamental in many areas including mathematics, science, cooking, finance, and everyday life. They help us understand proportions, make comparisons, and solve problems involving relative quantities.
Our calculator can analyze single ratios, simplify them to their lowest terms, and compare two ratios to determine if they are equivalent using cross-multiplication.
How to Use This Calculator
Tips for Working with Ratios
Simplify First
Always simplify ratios to their lowest terms for easier comparison and understanding.
Cross-Multiplication
Use cross-multiplication to check if two ratios are equivalent: a:b = c:d if a×d = b×c.
Understand Proportions
Ratios are the foundation of proportions, which are essential in many real-world applications.