what is 8/15 as a percent

Natasha willow

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05-02-2025

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Knowing how to convert fractions to percentages is a valuable skill in math and everyday life. This guide will show you exactly how to convert the fraction 8/15 into a percentage. We'll break it down step-by-step, making it easy to understand and apply to other fractions.

Understanding Fractions and Percentages

Before we dive into the conversion, let's quickly review the basics. A fraction represents a part of a whole. For example, 8/15 means 8 parts out of a total of 15 parts. A percentage is simply a fraction expressed out of 100. The symbol "%" means "per hundred".

Converting 8/15 to a Percentage: The Method

Here's how to convert 8/15 to a percentage:

Step 1: Divide the Numerator by the Denominator

The first step is to divide the numerator (the top number, 8) by the denominator (the bottom number, 15).

8 ÷ 15 = 0.5333...

Step 2: Multiply by 100

To express this decimal as a percentage, multiply the result by 100.

0.5333... x 100 = 53.33...

Step 3: Round (if necessary)

The result is a repeating decimal. Depending on the level of precision needed, you can round this number. Rounding to two decimal places, we get:

53.33%

Therefore, 8/15 as a percent is approximately 53.33%.

Alternative Method: Using Proportions

You can also solve this using proportions. We want to find the percentage, which is a fraction out of 100. We can set up a proportion:

8/15 = x/100

To solve for x (the percentage), cross-multiply:

15x = 800

x = 800/15

x ≈ 53.33

Therefore, 8/15 is approximately 53.33%.

Practical Applications

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

• Calculating discounts: If a store offers a 20% discount, you can calculate the savings by converting the percentage back to a fraction.
• Determining grades: Many grading systems use percentages.
• Analyzing data: Presenting data as percentages helps with easier comparison and interpretation.

This method can be applied to convert any fraction to a percentage. Simply follow the steps outlined above, and remember to round your answer appropriately.