Ratio Calculator
Simplify ratios to lowest terms, divide an amount by ratio parts, and compare two ratios for equality.
Enter values and click Solve Ratio to see results
Formula
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.