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Calculators & Converters

Ratio Calculator

Solve proportion ratios (A:B = C:D) and simplify ratio expressions.

Calculators & Converters

Ratio Calculator

:=:720
Simplified Ratio:16 : 9
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Tool Documentation & Architecture

About Ratio Calculator

The Ratio Calculator solves proportion equations (A:B = C:D), simplifies ratios to their lowest terms (e.g. 1920:1080 to 16:9), and scales recipe, aspect ratio, or financial ratios up and down with instant step-by-step solutions.

Step-by-Step Guide

How to Use Ratio Calculator

1

Step 1

Choose "Simplify Ratio" or "Solve Proportion (A:B = C:D)".

2

Step 2

Enter the ratio numbers into the corresponding fields.

3

Step 3

Click "Calculate Ratio".

4

Step 4

View the simplified fraction, decimal equivalent, and step-by-step solution.

Industry Scenarios

Practical Use Cases for Ratio Calculator

Video & Screen Aspect Ratio Scaling

Simplify display resolutions (3840x2160, 1920x1080) to standard aspect ratios (16:9, 4:3, 21:9) and scale dimensions.

Culinary Recipes & Ingredient Scaling

Scale baking and cooking ingredient proportions up or down proportionally for larger or smaller batch sizes.

Sample Data & Transformation

Input & Output Examples

Simplifying 1920 : 1080 Screen Resolution

Input Sample:
Ratio: 1920 : 1080
Processed Result:
Simplified: 16 : 9 (Greatest Common Divisor GCD = 120, Decimal: 1.778)
Technical Capabilities

Key Features & Performance

  • Solves for missing value in four-part proportions (A : B = C : X).
  • Simplifies 2-part and 3-part ratios to lowest integer terms using GCD.
  • Converts ratios to equivalent decimals and percentages.
  • Step-by-step mathematical reduction steps.
  • 100% Client-Side instant math engine.
  • 1-Click Copy simplified ratio output.
Technical Glossary

Key Terminology & Definitions

Ratio

A quantitative relationship between two numbers indicating how many times the first number contains the second.

Greatest Common Divisor (GCD)

The largest positive integer that divides each of the integers in a ratio without leaving a remainder.

Frequently Asked Questions (PAA)

Ratio Calculator FAQs

Find the Greatest Common Divisor (GCD) of 1920 and 1080, which is 120. Divide both numbers by 120: 1920/120 = 16 and 1080/120 = 9, yielding 16:9.
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