3 8 As A Percent

Caroline Mae

less than a minute read

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28-12-2024

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Converting fractions to percentages is a fundamental skill in mathematics, frequently applied in various everyday situations. Let's break down how to convert the fraction 3/8 into a percentage.

Understanding the Conversion Process

To convert a fraction to a percentage, we need to understand that a percentage represents a fraction out of 100. Therefore, the core process involves finding an equivalent fraction with a denominator of 100.

Steps to Convert 3/8 to a Percentage

1. Divide the numerator by the denominator: The first step is to perform the division 3 ÷ 8 = 0.375.

2. Multiply by 100: To express this decimal as a percentage, we multiply the result by 100: 0.375 x 100 = 37.5.

3. Add the percentage symbol: Finally, add the percentage symbol (%) to indicate that the result is a percentage: 37.5%.

Therefore, 3/8 is equal to 37.5%.

Practical Applications

This conversion is useful in many contexts, such as:

• Calculating discounts: A store offering a 3/8 discount on an item is offering a 37.5% discount.
• Understanding proportions: If 3 out of 8 students in a class passed an exam, that represents a 37.5% pass rate.
• Data analysis: Representing fractions as percentages can improve the readability and understanding of data in reports and presentations.

This simple method allows for easy conversion of fractions to percentages, a valuable skill for various applications. Remember, the key is to understand the relationship between fractions, decimals, and percentages.