Calculating 1.5 of 15: A Comprehensive Guide

Understanding how to calculate 1.5 of 15 is a fundamental arithmetic skill often used in various fields such as mathematics, finance, and everyday life. This guide provides step-by-step instructions and multiple methods to solve this common percentage problem.

Method 1: Percentage Calculation Method

To calculate 1.5 of 15, we can use the formula:

(text{Percentage} left(frac{text{Percentage rate}}{100}right) times text{Total})

Substituting in the values:

(1.5 text{ of } 15 left(frac{1.5}{100}right) times 15 0.015 times 15 0.225)

Therefore, 1.5 of 15 is 0.225.

Method 2: Average of Known Percentages

Another method involves understanding that 1 of 15 is 0.15 and 2 of 15 is 0.30. Therefore, to find 1.5 of 15, we can take the average of these two values:

(frac{0.15 0.30}{2} 0.225)

This method is useful when the exact value is not immediately clear, but we have a range of known values.

Method 3: Direct Fraction Calculation

Alternatively, you can calculate 1/5 of 15 directly as follows:

(frac{1}{5} text{ of } 15 frac{1}{5} times 15 frac{15}{5} 3)

In this case, 1/5 of 15 is 3. This method is particularly useful when dealing with simpler fractions.

Conclusion

There are multiple ways to calculate 1.5 of 15, and each method provides a different perspective on the problem. Whether using percentage calculation, average of known percentages, or direct fraction calculation, the result remains consistent: 1.5 of 15 is 0.225. Understanding these methods can enhance your problem-solving skills in mathematical and practical scenarios.