Ratio of 2 Numbers Calculator
Calculate, simplify, and analyze ratios between two numbers with step-by-step solutions
Calculate Ratio of 2 Numbers
The first number in the ratio A : B
The second number in the ratio A : B
Current Ratio: 0 : 0
Results
Example Calculations
Example 1: Recipe Ingredients
Problem: 200g butter : 800g flour
GCD: 200
Simplified: 1 : 4
Meaning: Use 4 times more flour than butter
Example 2: Screen Resolution
Problem: 1920 : 1080 pixels
GCD: 120
Simplified: 16 : 9
Meaning: 16:9 aspect ratio
Example 3: Test Scores
Problem: 85 : 95 points
GCD: 5
Simplified: 17 : 19
Meaning: Score ratio of 17:19
Example 4: Age Comparison
Problem: 12 : 18 years old
GCD: 6
Simplified: 2 : 3
Meaning: Age ratio of 2:3
Ratio Quick Reference
What is a Ratio?
A ratio compares two quantities, showing how many times one value contains another
Notation
A:B = A to B = A/B
Simplification
Divide both numbers by their GCD
Equivalent Ratios
Multiply or divide both parts by the same number
Ratio Properties
Ratios are dimensionless (no units)
Order matters: A:B ≠ B:A
Can be expressed as fractions or decimals
Simplified when GCD = 1
Used in proportions and scaling
Understanding Ratios of Two Numbers
What are Ratios?
A ratio is a comparison between two or more quantities of the same kind. The ratio A:B (read as "A to B") tells us how many times larger or smaller one quantity is compared to another. Ratios are fundamental in mathematics and have countless real-world applications.
How to Simplify Ratios
- Find all factors of both numbers
- Identify the Greatest Common Divisor (GCD)
- Divide both numbers by the GCD
- The result is the simplified ratio
Real-World Applications
Cooking & Recipes
Ingredient proportions and scaling recipes
Finance
Investment ratios, profit margins, debt-to-equity
Technology
Screen resolutions, aspect ratios, data compression
Science
Chemical concentrations, dosage calculations
Types of Ratio Calculations
Simplification
Reduce to lowest terms using GCD
Scaling
Multiply both parts by the same factor
Equivalent
Find missing values in proportions
Conversion
Express as fractions, decimals, or percentages