Ratio Calculator - Free Online Ratio Simplifier & Solver
Ratio Calculator
Simplify ratios to their lowest terms, scale ratios up or down, find equivalent ratios, or solve for missing values in proportions.
Simplify Ratio
Common Ratios Reference
How to use this calculator
āļø How to Use This Calculator
- Choose your calculation type: simplify, scale, find missing value, or convert
- Enter your values in the appropriate fields
- Click calculate to see the result
- View visual representations and practical applications
- Use the format converter to switch between different representations
š Understanding Ratios
What is a Ratio?
A ratio compares two or more quantities, showing their relative sizes. Written as A:B or A/B.
Simplifying Ratios
Divide all parts by their greatest common divisor (GCD) to get the simplest form.
12:18 = 2:3 (divided by 6)
Proportions
If A:B = C:D, then AĆD = BĆC (cross products are equal)
š Examples
Recipe uses flour:sugar = 3:1. For 6 cups flour, need 2 cups sugar.
16:9 widescreen means 16 units wide for every 9 units tall.
Paint mix 5:3:2 means 5 parts color, 3 parts base, 2 parts thinner.
š” Pro Tips
- ā¢ Always simplify ratios to their lowest terms for clarity
- ā¢ When scaling recipes, maintain the same ratio between ingredients
- ā¢ For aspect ratios, common ones include 16:9 (HD), 4:3 (standard), 1:1 (square)
- ā¢ The golden ratio (1:1.618) appears frequently in art and nature
- ā¢ Cross-multiplication works for solving proportions: a/b = c/d ā ad = bc
- ā¢ Ratios can be converted to fractions, decimals, or percentages
ā ļø Common Mistakes to Avoid
- ā¢ Don't confuse ratios with fractions - 3:2 ā 3/2
- ā¢ Remember ratios compare parts to parts, not parts to whole
- ā¢ When scaling, multiply all parts by the same factor
- ā¢ Don't change the order - 3:4 is different from 4:3
- ā¢ For three-part ratios, maintain all relationships (not just pairs)
- ā¢ Always use the same units when comparing quantities
About this calculator
Simplify ratios, scale ratios up or down, and solve ratio problems. Calculate equivalent ratios and find missing values.
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