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what is 50 of 35

what is 50 of 35

less than a minute read 05-02-2025
what is 50 of 35

Finding a percentage of a number is a common mathematical task. This article will show you how to calculate 50% of 35, explaining the process step-by-step. Understanding this simple calculation will help you tackle more complex percentage problems in the future.

Understanding Percentages

Before we dive into the calculation, let's quickly review what percentages represent. A percentage is a fraction of 100. So, 50% 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.

Calculating 50% of 35: Method 1 (Using Fractions)

Since 50% is equivalent to 1/2, finding 50% of 35 is the same as finding half of 35.

  1. Divide 35 by 2: 35 ÷ 2 = 17.5

Therefore, 50% of 35 is 17.5\boxed{17.5}

Calculating 50% of 35: Method 2 (Using Decimals)

Percentages can also be expressed as decimals. To convert a percentage to a decimal, divide the percentage by 100. In this case:

  1. Convert 50% to a decimal: 50 ÷ 100 = 0.5

  2. Multiply 35 by 0.5: 35 x 0.5 = 17.5

Again, we find that 50% of 35 is 17.5\boxed{17.5}

Calculating Percentages: A General Approach

The methods above are specifically tailored for 50%, but the general approach for calculating any percentage of a number is as follows:

  1. Convert the percentage to a decimal: Divide the percentage by 100.
  2. Multiply the decimal by the number: This will give you the required percentage of the number.

Real-World Applications

Understanding percentages is crucial in many everyday situations, including:

  • Sales and discounts: Calculating discounts on sale items.
  • Taxes: Determining the amount of tax on a purchase.
  • Tips: Figuring out the appropriate tip amount in a restaurant.
  • Finance: Calculating interest earned or paid.

This simple example of finding 50% of 35 provides a foundation for understanding more complex percentage calculations. By mastering this basic concept, you'll be well-equipped to handle a wide range of percentage-related problems.

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