39/48 as a percentage

2 min read 23-02-2025

Converting fractions to percentages is a common task in math and everyday life. This article will show you how to easily calculate 39/48 as a percentage, explaining the process step-by-step. Understanding this process will help you tackle similar fraction-to-percentage conversions with confidence.

Understanding Percentages

Before we dive into the calculation, let's quickly review what percentages represent. A percentage is a fraction or ratio expressed as a number out of 100. For example, 50% means 50 out of 100, or 50/100, which simplifies to 1/2.

Calculating 39/48 as a Percentage

To convert 39/48 to a percentage, follow these steps:

Step 1: Divide the Numerator by the Denominator

The first step is to divide the numerator (the top number, 39) by the denominator (the bottom number, 48).

39 ÷ 48 = 0.8125

Step 2: Multiply by 100

Next, multiply the result from Step 1 by 100 to convert the decimal to a percentage.

0.8125 x 100 = 81.25

Step 3: Add the Percentage Symbol

Finally, add the percentage symbol (%) to indicate that the result is a percentage.

Therefore, 81.25%

39/48 as a Percentage: The Final Answer

So, 39/48 expressed as a percentage is 81.25%.

Simplifying the Fraction (Optional)

While not necessary for the percentage calculation, simplifying the fraction can sometimes make the division easier. In this case, both 39 and 48 are divisible by 3:

39 ÷ 3 = 13 48 ÷ 3 = 16

This simplifies the fraction to 13/16. You can then divide 13 by 16 and multiply by 100 to get the same result: 81.25%.

Using a Calculator

For quick calculations, you can use a calculator. Simply divide 39 by 48 and then multiply the result by 100. Most calculators have a percentage function that will automatically handle this conversion.

Practical Applications

Understanding how to convert fractions to percentages is useful in many real-world situations, such as:

Calculating discounts: A store offering a 20% discount on an item means you pay 80% of the original price.
Determining grades: Your score on a test might be expressed as a fraction, but your final grade is usually a percentage.
Analyzing data: Percentages are frequently used to represent data in charts and graphs.

Mastering this skill allows for a better grasp of numerical information encountered daily. By following these steps, you can confidently convert any fraction into its percentage equivalent.