What is Ratio?
The Ratio Calculator simplifies ratios to their lowest terms, finds equivalent ratios, and solves proportion problems (finding the missing value in A:B = C:D).
Ratios compare two quantities and are fundamental in math, cooking (recipe scaling), finance (debt-to-income ratio), science (concentration ratios), and everyday life (mixing ratios).
Simplifying a ratio means dividing both numbers by their GCD (Greatest Common Divisor). 12:8 simplifies to 3:2 because GCD(12,8) = 4.
Formula
Simplify: divide both by GCD(A,B) 12:8 → GCD = 4 → 3:2
Solve proportion A:B = C:D: D = (B × C) / A
A as percentage of total: A/(A+B) × 100
Examples: 12:8 = 3:2 15:25 = 3:5 If 3:2 = 6:?, then ? = (2×6)/3 = 4
How to use this Ratio Calculator?
1. Enter A and B to simplify the ratio A:B. 2. Enter C to solve the proportion A:B = C:D (find D). 3. See simplified ratio, decimal equivalent, missing value, and percentages.