Ratio Calculator
Enter two numbers to simplify the ratio and find percentages.
Calculation Results
Simplified Ratio:
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Ratio as Decimal:
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Percentage (A of Total):
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Percentage (B of Total):
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How Do We Calculate Ratio?
A ratio is a mathematical comparison of two or more numbers that indicates their sizes in relation to each other. Ratios compare relative quantities by division. When we calculate a ratio, we are looking for how many times one number contains another.
The Step-by-Step Calculation Process
To calculate and simplify a ratio manually, follow these steps:
- Step 1: Identify the two quantities you want to compare (e.g., 20 and 40).
- Step 2: Write them in the form A:B (20:40).
- Step 3: Find the Greatest Common Divisor (GCD) for both numbers. In this case, the GCD of 20 and 40 is 20.
- Step 4: Divide both numbers by the GCD. (20 / 20 = 1; 40 / 20 = 2).
- Step 5: The simplified ratio is 1:2.
Real-World Examples of Ratios
Example 1: Cooking
If a recipe calls for 2 cups of water and 1 cup of rice, the ratio of water to rice is 2:1. If you want to make more, you maintain the ratio (e.g., 4 cups of water to 2 cups of rice).
Example 2: Business
If a company has 15 employees and 3 managers, the employee-to-manager ratio is 15:3. By dividing both sides by 3, we get a simplified ratio of 5:1, meaning there is 1 manager for every 5 employees.
Ratio to Percentage Conversion
To find what percentage Part A is of the whole, you use the formula: (A / (A + B)) × 100. This is extremely useful in chemistry for solution mixtures or in finance for asset allocation.