How do I simplify a ratio step by step?

1) Find the GCD (Greatest Common Divisor) of both numbers. 2) Divide both numbers by the GCD. Example: 24:36 → GCD is 12 → 24÷12 : 36÷12 = 2:3.

How do I solve a proportion?

Use cross multiplication. For a:b = c:x, cross multiply: a × x = b × c, then solve for x = (b × c) / a. Example: 2:3 = 8:x → 2x = 24 → x = 12.

How do I convert a ratio to a percentage?

Divide the first number by the second, then multiply by 100. For ratio a:b, percentage = (a/b) × 100%. Example: 3:4 = 3÷4 × 100% = 75%.

How do I find the ratio between two numbers?

Write the numbers as a:b, then simplify by dividing both by their GCD. Example: Find ratio of 45 to 60 → 45:60 → GCD is 15 → 3:4.

What is an aspect ratio?

Aspect ratio describes the proportional relationship between width and height. Common video aspect ratios: 16:9 (widescreen), 4:3 (standard), 21:9 (ultrawide). For images, it determines shape.

How do I calculate ratio for three numbers?

Find the GCD of all three numbers and divide each by it. Example: 12:18:24 → GCD is 6 → 12÷6 : 18÷6 : 24÷6 = 2:3:4.

How do I convert a fraction to a ratio?

A fraction a/b directly converts to ratio a:b. Example: 3/4 = 3:4. For decimals, multiply to remove decimal points first.

How do I find equivalent ratios?

Multiply or divide both parts of the ratio by the same number. Example: 2:3 equivalent ratios are 4:6, 6:9, 8:12, etc.

Ratio Calculator

Our free ratio calculator helps you simplify ratios, solve proportions, find equivalent ratios, calculate aspect ratios, and convert between ratios, fractions, and percentages. Perfect for students, teachers, designers, and anyone working with proportional relationships.

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calendar_today Updated: April 2025

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Calculate

Ratio A : B

Method

Divide both by GCD (Greatest Common Divisor)

Simplified Ratio

2 : 3

GCD = 12

Conversions

Fraction 2/3

Decimal 0.667

Percentage 66.67%

Parts of B 1.5

Steps

1. Find GCD of 24 and 36 = 12

2. Divide both: 24÷12 : 36÷12

3. Result: 2 : 3

Input Values

Calculation Type

expand_more

First Value (A)

Second Value (B)

Third Value (C)

auto_awesome AI Analysis

Analysis of 24:36 ratio simplification:

Simplified Form: 2:3 - The simplest form after dividing both by GCD (12)
As Fraction: 2/3 ≈ 0.667 or 66.67%
Practical Use: For every 2 parts of the first quantity, you need 3 parts of the second

Example: If mixing ingredients in a 2:3 ratio and you have 6 cups of the first ingredient, you'll need 9 cups of the second.

lightbulb Tips

•Simplify: divide both by GCD
•a:b = a/b as fraction
•Cross multiply: a×d = b×c
•16:9 = widescreen aspect ratio

balance Reference

Aspect Ratios

Widescreen 16:9

Standard 4:3

Photo 3:2

Square 1:1

Tips

a:b = a/b = (a/b)×100%

GCD divides both evenly

How to Use This Calculator

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Choose Type

Select simplify, solve proportion, find equivalents, convert, compare, or scale.

edit

Enter Values

Input the ratio values (A:B or A:B:C for three-part ratios).

settings

Set Options

Configure additional options based on calculation type.

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View Results

See simplified ratio, conversions, and step-by-step solution.

The Formula

Ratios compare two quantities. To simplify, divide both parts by their GCD. To solve proportions, use cross multiplication: a × d = b × c.

a : b = c : d (cross multiply: a × d = b × c)

lightbulb Variables Explained

a : b First ratio (antecedent : consequent)
c : d Second ratio (equivalent or proportion)
GCD Greatest Common Divisor for simplification

tips_and_updates Pro Tips

To simplify a ratio, divide both numbers by their GCD

Ratios can be written as fractions: a:b = a/b

Cross multiplication solves proportions: if a:b = c:d, then a×d = b×c

Aspect ratios like 16:9 describe width to height relationships

Equivalent ratios have the same simplified form

To scale a ratio, multiply both parts by the same number

Ratio Calculator - Simplify, Solve & Compare Ratios

Calculate ratios instantly with our free online ratio calculator. Simplify ratios, solve proportions, find equivalent ratios, and convert between ratios, fractions, and percentages with detailed step-by-step solutions.

Simplify Ratio Calculator

Reduce any ratio to its simplest form by finding the GCD and dividing both parts. Our calculator shows each step of the simplification process, perfect for learning and verification.

Ratio and Proportion Calculator

Solve proportion problems using cross multiplication. Find the missing value in any proportion equation with complete working shown.

Aspect Ratio Calculator

Calculate aspect ratios for images, videos, and screens. Find equivalent dimensions while maintaining the same proportions for any resolution.

Ratio Converter

Convert ratios to fractions, decimals, or percentages. Transform between different representations of proportional relationships.

Equivalent Ratios Calculator

Generate lists of equivalent ratios by multiplying or dividing by common factors. Useful for scaling recipes, maps, and designs.

Three-Part Ratio Calculator

Work with ratios involving three or more quantities. Simplify and compare complex ratios with multiple parts.

Frequently Asked Questions

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