What Is a Fraction-Ratio Calculator?
This calculator converts a ratio (like 8:12) into its simplified form, equivalent fraction, decimal, and percentage — since ratios, fractions, and percentages are all different ways of expressing the same proportional relationship.
How to Use the Fraction-Ratio Calculator
- Enter both terms of your ratio.
- View the simplified ratio, equivalent fraction, decimal, and percentage instantly.
Ratio to Fraction Formula
Worked Example
GCF of 8 and 12 is 4
Simplified ratio: 2:3
As a fraction: 8/12 = 2/3
As a decimal: 2 ÷ 3 ≈ 0.667
As a percentage: ≈ 66.7%
Understanding Your Results
A ratio compares two quantities directly (8:12). The equivalent fraction (2/3) expresses the first quantity as a part of the total when both parts are combined proportionally. The decimal and percentage forms are useful for further calculations or comparisons.
Common Uses
- Recipe scaling and ingredient ratios.
- Map scales and architectural drawings.
- Mixing solutions or concentrations in specific proportions.
- Financial ratios (like debt-to-income).
Frequently Asked Questions
Write the first term over the second term as a fraction (a:b becomes a/b), then simplify by dividing both by their greatest common factor.
Find the greatest common factor (GCF) of both terms and divide each term by it — for example, 8:12 simplifies to 2:3 since their GCF is 4.
Convert the ratio to a fraction, then to a decimal (divide first term by second), then multiply by 100.
A ratio compares two separate quantities (like 2 boys to 3 girls). A fraction typically represents a part of a whole (like 2 out of 5 total students) — though they're mathematically related and convertible.
Yes — ratios can compare three or more quantities (like 2:3:5), though this calculator focuses on simple two-term ratios.