Ratio Simplification Formula:
From: | To: |
Definition: This calculator simplifies a ratio of three numbers to its smallest whole number equivalent by dividing each term by their greatest common divisor (GCD).
Purpose: It helps in reducing complex ratios to simpler forms for easier interpretation and comparison in mathematics, finance, chemistry, and other fields.
The calculator uses the formula:
Where:
Explanation: The calculator finds the largest number that divides all three terms exactly, then divides each term by this GCD to get the simplified ratio.
Details: Simplified ratios are easier to understand, compare, and use in calculations. They maintain the same proportional relationship while using smaller numbers.
Tips: Enter three positive numbers in the ratio you want to simplify. The calculator will show the simplified ratio and the GCD used.
Q1: What if my numbers have decimals?
A: The calculator handles decimal inputs, but the simplified ratio will be in decimal form unless you multiply by a factor to make all numbers integers first.
Q2: Can I simplify more than three numbers?
A: This calculator is designed for three numbers, but the same principle applies to ratios with more terms.
Q3: What if my numbers have different units?
A: The calculator assumes all numbers are in the same unit. Convert all terms to the same unit before simplifying.
Q4: How is the GCD calculated?
A: The calculator uses the Euclidean algorithm to find the greatest common divisor of the three numbers.
Q5: What if I get 1:1:1 as the simplified ratio?
A: This means all three original numbers were equal, or their ratio was already in simplest form with equal terms.