Math Toolratio calculatorUpdated 2026

Ratio Calculator & Aspect Ratio Simplifier

Simplify ratios (A:B), find missing proportional terms (A:B = C:D), and resize screen and photography aspect ratios.

Ratio Terms

:
Value C
Simplified Ratio
16 : 9
Proportional Solved Term D:
16 : 9 = 1920 : 1080
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How Ratio Calculator Works: Mathematical Formula & Steps

Solves proportional relationships, resizes photography/screen aspect ratios without distortion, and reduces integer ratios by dividing by their GCD.

Proportion & Ratio Simplification Formula
A : B = C : D => D = ( B × C ) / A
Where:
  • A, B (Original Antecedent & Consequent): Base ratio components (e.g. 16:9).
  • C, D (Scaled Ratio Terms): New dimensions or scaled quantities.

Worked Real-World Example: Step-by-Step Calculation

To illustrate how the ratio calculator works in practice, consider the following real scenario:

Scaling 16:9 Aspect Ratio to 1920 Width

Scenario: Find height D when ratio is 16:9 and width C is 1920 pixels.

Step 1: Set up equality
16 / 9 = 1920 / D
Step 2: Cross-multiply
16 × D = 9 × 1920 = 17,280
Step 3: Solve for D
D = 17,280 ÷ 16 = 1080
Final Result: The proportional height is exactly 1080 pixels (Full HD 1920×1080 resolution).

Key Takeaways & Best Practices

  • Cross-multiplication is the fastest technique for solving missing terms in any direct proportion.

International & Multi-Currency Standards

Whether you are evaluating calculations in the United States (USD), United Kingdom (GBP), Eurozone (EUR), South Africa (ZAR), Australia (AUD), Canada (CAD), or India (INR), everycalculator dynamically formats outputs according to regional accounting notations and dual metric/imperial conversions.

Related Search Terms & Common Queries

This calculator is designed to provide immediate answers for popular search queries including:

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Frequently Asked Questions

How do you simplify a ratio?

Find the greatest common divisor (GCD) of both numbers, and divide both numbers by that factor. For example, to simplify 24:36, the GCD is 12: 24÷12 = 2 and 36÷12 = 3, giving 2:3.

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