Loading...
Free online ratio calculator to simplify ratios, find equivalent ratios, solve proportions, and convert ratios to percentages. Get instant results with step-by-step solutions for all your ratio calculations.
A ratio is a mathematical comparison between two or more quantities that shows their relative sizes. Ratios express how many times one value contains or is contained within another value. They are fundamental in mathematics and have countless real-world applications.
Ratios can be expressed in three different ways:
For example, if a recipe calls for 2 cups of flour and 1 cup of sugar, the ratio of flour to sugar is 2:1. This means for every 2 parts of flour, you need 1 part of sugar.
This ratio calculator is developed by CalcFinex, a platform dedicated to providing accurate mathematical and financial calculation tools. Our calculator uses standard mathematical algorithms to ensure precise results for all ratio operations.
Calculation Methodology: The calculator employs the Euclidean algorithm for finding the Greatest Common Divisor (GCD) when simplifying ratios, ensuring mathematically accurate results. All calculations follow standard mathematical principles taught in educational institutions worldwide.
Accuracy & Reliability: Each calculation is performed using precise mathematical operations. The step-by-step solutions help users understand the process and verify results independently. This tool is suitable for educational purposes, professional work, and everyday calculations.
Input the numbers you want to compare. You can enter 2, 3, or more values depending on your calculation needs.
Select whether you want to simplify, find equivalent ratios, solve proportions, or convert to percentages.
Click the calculate button to get instant results with detailed step-by-step solutions.
View your simplified ratio, equivalent ratios, or percentage conversions with complete explanations.
Reduce ratios to their simplest form by dividing all parts by their Greatest Common Divisor (GCD).
Example: 12:16 simplifies to 3:4 (dividing both by GCD of 4)
Generate ratios that represent the same proportional relationship by multiplying or dividing all parts by the same number.
Example: 3:4 = 6:8 = 9:12 = 15:20 (all equivalent)
Find unknown values in proportional relationships using cross multiplication.
Example: If 2:3 = 8:x, then x = 12 (using cross multiplication: 2x = 24)
Express ratios as percentages to show the proportion of each part relative to the total.
Example: Ratio 3:7 = 30% : 70% (3/10 = 30%, 7/10 = 70%)
Scale recipes up or down while maintaining the correct proportions of ingredients.
Understand map scales like 1:50,000 to calculate real distances.
Calculate financial ratios like debt-to-equity, P/E ratios for investment analysis.
Mix concrete, mortar, and other materials in correct proportions.
Calculate drug dosages based on body weight ratios for safe administration.
Work with aspect ratios (16:9, 4:3) for image and video dimensions.
Comprehensive lessons on ratios, proportions, and their applications.
Visit Khan Academy →Easy-to-understand explanations with examples and practice problems.
Visit Math is Fun →Mathematical definitions and advanced concepts related to ratios.
Visit Wolfram MathWorld →No hidden charges, subscriptions, or limitations. Use unlimited calculations anytime.
Get accurate calculations in milliseconds with detailed step-by-step solutions.
Works perfectly on desktop, tablet, and mobile devices with optimized interface.
Learn with step-by-step explanations and understand the math behind each calculation.
No registration required. Your calculations are private and never stored.
Simplify, find equivalents, solve proportions, and convert to percentages - all in one tool.