Ratio Calculator
Simplify ratios to lowest terms, solve equivalent proportions, and scale dimensions.
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How to Use the Ratio Calculator
- 1Select your calculation mode: Simplify Ratio (A : B) or Solve for Missing Value (A : B = C : X).
- 2Type the known values into the respective input boxes.
- 3The calculator instantly determines the lowest whole number ratio and decimal multiplier.
- 4Copy or export your simplified proportion.
Formula & How It Works
Ratio Simplification Formula
A ratio A : B is simplified by dividing both antecedent A and consequent B by their greatest common factor (GCF).
Worked Examples
Simplifying a Screen Ratio
Input: 1920 : 1080
Explanation: The GCF of 1920 and 1080 is 120. Dividing both terms by 120 yields 16 : 9.
Solving for Missing Value
Input: 4 : 5 = 20 : X
Explanation: Cross multiplying gives 4X = 100, which results in X = 25.
Frequently Asked Questions
What is the difference between a ratio and a proportion?▼
A ratio is a comparative relationship between two numbers, while a proportion is an equation stating that two ratios are equal.
Can I enter decimal numbers into the ratio calculator?▼
Yes, the calculator converts decimal inputs into equivalent whole numbers before finding the reduced ratio.
Can I compare three numbers (A : B : C)?▼
Yes, our tool supports 3-part continuous ratios for recipes and construction mixing.
What is an aspect ratio?▼
An aspect ratio is the proportional relationship between the width and height of an image or display screen.
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