Ratio Calculator
Simplify ratios to lowest terms, divide an amount by ratio parts, and compare two ratios for equality.
✓ Runs in your browser · Updated 2026-03-31Enter values and click Solve Ratio to see results
What is a Ratio?
A ratio compares two or more quantities. It is written as A : B or A : B : C. Ratios can be simplified by dividing all parts by their GCD.
Simplifying Ratios
Example: 12 : 18 = 2 : 3 (GCD = 6)
Dividing an Amount by Ratio
To divide a total by a ratio A : B, calculate total parts = A + B, then each share = (part / total parts) × amount.
Comparing Ratios
Two ratios A₁ : B₁ and A₂ : B₂ are equal if A₁ × B₂ = A₂ × B₁ (cross multiplication).
Related Tools
Try our Proportion Calculator for Rule of Three problems, or the Percentage Calculator for quick conversions.
Frequently Asked Questions
How do I simplify a ratio?
Divide both terms of the ratio by their greatest common divisor (GCD). For example, 12:8 simplified is 3:2 (dividing both by 4).
How do I divide an amount in a given ratio?
Add the ratio parts, then divide the total amount by that sum to get one part's value. For example, dividing ₹10,000 in ratio 3:2 gives ₹6,000 and ₹4,000.
What is an equivalent ratio?
Equivalent ratios have the same value when simplified. For example, 2:3, 4:6, and 10:15 are all equivalent ratios.