what is 50 of 48

Natashya

less than a minute read

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23-12-2024

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Finding percentages can seem daunting, but it's a straightforward calculation. This article will guide you through calculating 50% of 48, explaining the process step-by-step so you can easily understand and apply it to other percentage problems. We'll also explore different methods to solve this and similar problems.

Understanding Percentages

A percentage is a fraction of 100. 50%, for example, means 50 out of 100, or 50/100, which simplifies to 1/2. This means 50% of a number is simply half of that number.

Method 1: Using the Fraction Equivalent

Since 50% is equivalent to 1/2, finding 50% of 48 is the same as finding half of 48.

• Divide 48 by 2: 48 / 2 = 24

Therefore, 50% of 48 is $\boxed{24}$.

Method 2: Converting Percentage to Decimal

Another way to calculate percentages is by converting the percentage to a decimal and then multiplying.

• Convert 50% to a decimal: To do this, divide the percentage by 100. 50% / 100 = 0.50 or 0.5

• Multiply the decimal by the number: 0.5 * 48 = 24

Again, we find that 50% of 48 is $\boxed{24}$.

Method 3: Using Proportions

A proportion is an equation that states that two ratios are equal. We can set up a proportion to solve for 50% of 48.

• Set up the proportion: x / 48 = 50 / 100

• Cross-multiply: 100x = 50 * 48

• Solve for x: 100x = 2400 => x = 2400 / 100 = 24

So, using proportions, we confirm that 50% of 48 is $\boxed{24}$.

Why Understanding Percentages Matters

Calculating percentages is a fundamental skill used in many areas of life, including:

• Shopping: Calculating discounts and sales tax.
• Finance: Understanding interest rates and loan payments.
• Statistics: Analyzing data and interpreting results.
• Everyday Life: Determining tips, splitting bills, and more.

Mastering percentage calculations helps you make informed decisions and navigate various situations more confidently. This simple example of finding 50% of 48 demonstrates a skill applicable to numerous more complex scenarios. Remember, practice makes perfect!