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Calculators & Converters

Ratio Simplifier

Simplify proportion ratios into reduced whole number ratios.

Math & Student Studio

GCD & LCM Calculator

GCD (GREATEST COMMON DIVISOR):6
LCM (LEAST COMMON MULTIPLE):144
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Tool Documentation & Architecture

About Ratio Simplifier

The Multi-Part Ratio Simplifier & Aspect Ratio Calculator reduces 2-part ($A:B$) and multi-part ($A:B:C:D$) ratios to their simplest integer terms, calculating equivalent ratios, unit rates ($1:X$), decimal ratios, and proportional scaling values.

Step-by-Step Guide

How to Use Ratio Simplifier

1

Step 1

Enter ratio numbers separated by colons (e.g. `1920:1080` or `4:6:8`).

2

Step 2

Click "Simplify Ratio".

3

Step 3

Review the reduced integer ratio, GCD cancellation, and unit rate.

4

Step 4

Click "Copy Result".

Industry Scenarios

Practical Use Cases for Ratio Simplifier

Aspect Ratio Simplification for Video & Photography

Simplify display resolutions (e.g. $2560:1440 \rightarrow 16:9$, $3840:2160 \rightarrow 16:9$) to identify standard video aspect ratios.

Chemical Solution & Mixing Ratios

Simplify concrete mixtures, paint blends, and resin formulas (e.g. $150\text{ml} : 75\text{ml} : 25\text{ml} \rightarrow 6:3:1$).

Sample Data & Transformation

Input & Output Examples

Simplifying Screen Resolution 2560:1440

Input Sample:
Ratio: 2560 : 1440
Processed Result:
Simplified Ratio: 16 : 9 | GCD: 160 | Unit Ratio: 1 : 0.5625 (or 1.778 : 1) | Decimal: 1.7778
Technical Capabilities

Key Features & Performance

  • Simplifies 2-part, 3-part, and multi-part ratios ($A:B:C:D$).
  • Supports decimal and fractional ratio inputs (e.g. $1.5 : 2.25 \rightarrow 2:3$).
  • Calculates Unit Ratio ($1 : n$ and $n : 1$), Percentage Share of total, and proportional scaling factor.
  • 100% Client-Side calculation.
  • 1-Click Copy simplified ratio.
Technical Glossary

Key Terminology & Definitions

Ratio

A mathematical comparison showing how many times one number contains another ($A:B = A/B$).

Unit Ratio

A ratio where one of the terms is scaled to 1 (e.g. $16:9$ expressed as $1.78 : 1$), widely used in widescreen displays.

Frequently Asked Questions (PAA)

Ratio Simplifier FAQs

Yes! The tool automatically scales decimal inputs by powers of 10 to integers before computing the GCD reduction.
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