Ratio Input

Value A

Value B

16 : 9

Ratio Tips

Ratios compare two quantities showing the relative size

Always simplify ratios to their smallest whole numbers

Ratios are used in cooking, construction, finance, and design

Common ratios: 16:9 (monitors), 4:3 (TVs), 1:1 (squares)

The golden ratio (1.618) is found in nature and art

Ratio Formula

Simplified Ratio = A / GCD(A, B) : B / GCD(A, B)

Where:
GCD = Greatest Common Divisor
A = First term of the ratio
B = Second term of the ratio

Ratio Analysis

Simplified Ratio

16:9

Lowest Terms

Value A

Value B

Ratio as Fraction

16/9

Ratio as Decimal

1.7778

Percentage of A

64.00%

Percentage of B

36.00%

Equivalent Ratios

16:9

32:18

48:27

64:36

80:45

96:54

112:63

128:72

Ratio Calculator

Simplify ratios, compare two quantities, or solve for a missing value using our Ratio Calculator. Perfect for students, teachers, and everyday problem solvers.

The Ratio Calculator makes it easy to work with ratios—whether you're simplifying them, finding equivalent ratios, or solving ratio word problems. This calculator is widely used in mathematics, cooking, finance, and even construction.

Key Features

Simplify ratios to their lowest terms
Find equivalent ratios
Solve for missing terms in proportion problems
Convert ratios to fractions or percentages
Handles both whole numbers and decimals

How to Use the Calculator

Enter the values of the ratio (e.g., 8:12)
Choose what you want to calculate:
- Simplify ratio
- Find missing term
- Convert to percentage/fraction
Click the "Calculate" button to get your result

Use Cases

Solving homework and math problems
Adjusting ingredient quantities in recipes
Comparing financial data (e.g., income to expense)
Construction and design measurements
Business data analysis and performance metrics

Formulas Used

Simplified Ratio: Divide both parts of the ratio by their greatest common divisor (GCD)
Proportion: If A:B = C:D, then A×D = B×C
Percentage Equivalent: A / (A + B) × 100%

Tips for Accurate Results

Enter clean numbers with or without decimals
Use the calculator to check manual math work
Convert results into practical formats (percent, fraction)
Double-check values when solving proportions

Conclusion

Our Ratio Calculator is your go-to tool for solving ratio-related problems in education, business, and everyday life. Save time, avoid mistakes, and understand ratios with clarity.