What is a simplified ratio?

Ratio reduced to smallest whole numbers by dividing by greatest common divisor (GCD). 12:8 simplifies to 3:2 (divide both by 4). Simpler form represents same proportion.

How do I convert a ratio to percentage?

Add ratio parts together for total, divide each part by total, multiply by 100. Ratio 3:2 = total 5. First value: (3÷5)×100 = 60%, second: (2÷5)×100 = 40%.

What is the difference between ratio and proportion?

Ratio compares two values (3:2). Proportion states two ratios are equal (3:2 = 6:4). Proportions used to solve for unknown values in scaling problems.

When are ratios used in real life?

Cooking (recipe scaling), maps (scale ratios), finance (debt-to-income), construction (concrete mixing), gear ratios, aspect ratios (screens), business metrics (profit margin ratios).

Math Calculators

Ratio Calculator

Calculate, simplify, and compare ratios with automatic percentage and decimal conversions. Solve proportion problems, scale recipes, adjust mixing ratios, and find equivalent ratios for cooking, construction, chemical mixtures, and mathematical problem-solving with step-by-step ratio simplification.

How to Use the Ratio Calculator

Use the Ratio Calculator to calculate, simplify, and compare ratios with automatic percentage and decimal conversions. Solve proportion problems, scale recipes, adjust mixing ratios, and find equivalent ratios for cooking, construction, chemical mixtures, and mathematical problem-solving with step-by-step ratio simplification.. Enter your values to get accurate, instant results tailored to your situation.

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Ratio Fundamentals

Proportional relationships

Expert Tips

Ratios Compare Quantities: Express relationship between two or more values. 3:1 ratio means 3 units of first item for every 1 unit of second item.
Simplify Ratios Like Fractions: Divide all parts by greatest common factor. 15:20 simplifies to 3:4 by dividing both by 5. Maintains same relationship with smaller numbers.
Convert Ratios to Percentages: Divide part by total, multiply by 100. Ratio 3:7 means 3 parts of 10 total = 30% for first component.
Scale Ratios Proportionally: Multiply or divide all parts by same number to maintain relationship. 2:3 ratio scales to 4:6, 6:9, 8:12 while preserving proportion.

Essential Fundamentals — Ratio basics

Understanding Ratios

Ratio Notation: 3:2 read as "3 to 2" means 3 units of first quantity for every 2 units of second. Order matters—3:2 differs from 2:3.
Part-to-Part vs Part-to-Whole: Part-to-part compares components (3:2). Part-to-whole compares component to total (3 parts of 5 total = 3/5 or 60%).

Simplification

Finding Simplest Form: Divide all parts by greatest common factor. 12:16 ÷ 4 = 3:4. Easier to work with smaller numbers while maintaining exact relationship.
Equivalent Ratios: Multiply all parts by same number for equivalent ratios. 1:2 = 2:4 = 3:6 = 5:10. All represent identical proportions.

Advanced Strategies — Practical applications

Ratio Applications

Recipe Scaling: Maintain ingredient ratios when adjusting batch size. 2:3:5 flour:sugar:butter ratio scales to any total while preserving taste and texture.
Financial Ratios: Business metrics use ratios extensively. Debt-to-equity, profit margin, quick ratio all express relationships between financial values.
Mixing & Dilution: Chemical concentrations, paint mixing, and solution dilution all depend on precise ratio maintenance for correct results.

Frequently Asked Questions

What is a simplified ratio?: Ratio reduced to smallest whole numbers by dividing by greatest common divisor (GCD). 12:8 simplifies to 3:2 (divide both by 4). Simpler form represents same proportion.
How do I convert a ratio to percentage?: Add ratio parts together for total, divide each part by total, multiply by 100. Ratio 3:2 = total 5. First value: (3÷5)×100 = 60%, second: (2÷5)×100 = 40%.
What is the difference between ratio and proportion?: Ratio compares two values (3:2). Proportion states two ratios are equal (3:2 = 6:4). Proportions used to solve for unknown values in scaling problems.
When are ratios used in real life?: Cooking (recipe scaling), maps (scale ratios), finance (debt-to-income), construction (concrete mixing), gear ratios, aspect ratios (screens), business metrics (profit margin ratios).