what is 60 of 28

Natashya

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25-12-2024

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What is 60% of 28? A Step-by-Step Guide

Finding a percentage of a number is a common mathematical task. This article will clearly explain how to calculate 60% of 28, providing a step-by-step solution and highlighting the underlying concepts. Understanding this process will help you tackle similar percentage problems with confidence.

Understanding Percentages

A percentage is a fraction expressed as a number out of 100. For example, 60% can be written as 60/100 or 0.60 (as a decimal). Calculating a percentage of a number involves multiplying the number by the percentage's decimal equivalent.

Calculating 60% of 28

Here's how to calculate 60% of 28:

1. Convert the percentage to a decimal: Divide 60 by 100: 60 ÷ 100 = 0.60

2. Multiply the decimal by the number: Multiply 0.60 by 28: 0.60 x 28 = 16.8

Therefore, 60% of 28 is $\boxed{16.8}$

Alternative Method: Using Fractions

You can also solve this using fractions. 60% can be expressed as the fraction 60/100, which simplifies to 3/5.

1. Express the percentage as a fraction: 60% = 60/100 = 3/5

2. Multiply the fraction by the number: (3/5) x 28 = (3 x 28) / 5 = 84 / 5 = 16.8

This method confirms our earlier calculation.

Practical Applications

Understanding percentage calculations is crucial in various real-life situations, including:

• Sales and discounts: Calculating discounts offered on items.
• Finance: Determining interest rates, tax amounts, and profit margins.
• Statistics: Analyzing data and interpreting percentages.
• Everyday life: Tip calculations, splitting bills, and understanding proportions.

Conclusion

Calculating 60% of 28 is straightforward, whether you use the decimal or fraction method. Both approaches yield the same result: 16.8. Mastering percentage calculations equips you with a valuable skill applicable across numerous contexts. Remember the core principle: convert the percentage to a decimal or fraction and then multiply it by the given number.