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what is 75 of 48

what is 75 of 48

less than a minute read 05-02-2025
what is 75 of 48

What is 75% of 48? A Step-by-Step Guide

Finding a percentage of a number is a common mathematical task. This article will guide you through calculating 75% of 48, explaining the process in detail. We'll explore multiple methods to solve this, ensuring you understand the underlying concepts.

Understanding Percentages

Before we begin, let's clarify what a percentage represents. A percentage is a fraction of 100. For example, 75% means 75 out of 100, or 75/100. This can be simplified to 3/4.

Method 1: Using Fractions

Since 75% is equivalent to ¾, we can calculate 75% of 48 by multiplying 48 by ¾:

48 x ¾ = (48 x 3) / 4 = 144 / 4 = 36

Therefore, 75% of 48 is 36\boxed{36}.

Method 2: Converting Percentage to Decimal

Another method involves converting the percentage to a decimal. To do this, divide the percentage by 100:

75% ÷ 100 = 0.75

Now, multiply 48 by 0.75:

48 x 0.75 = 36

Again, we find that 75% of 48 is 36\boxed{36}.

Method 3: Using Proportions

We can also solve this using proportions. We set up a proportion where x represents 75% of 48:

75/100 = x/48

To solve for x, we cross-multiply:

75 * 48 = 100 * x

3600 = 100x

x = 3600 / 100 = 36

Once more, we arrive at the answer: 75% of 48 is 36\boxed{36}.

Different Ways to Express the Answer:

  • Fraction: 36/48 (which simplifies to ¾)
  • Decimal: 0.75
  • Percentage: 75%

Real-World Application

Understanding percentage calculations is crucial in various real-world situations. For example, calculating discounts, sales tax, tips, or understanding statistics all involve percentage calculations. Mastering these methods will help you confidently handle such situations.

In Conclusion

We've demonstrated three different methods to calculate 75% of 48, all leading to the same answer: 36. Choosing the method that best suits your understanding and the problem's context is key. Remember, practice makes perfect, so try solving similar problems to solidify your understanding of percentages.

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