what is 15 of 55

2 min read 21-12-2024

What is 15/55? Simplifying Fractions and Understanding Percentages

Title Tag: What is 15/55? Simplified Fraction & Percentage

Meta Description: Learn how to simplify the fraction 15/55 and convert it into a percentage. We'll walk you through the steps, providing a clear and easy-to-understand explanation. Discover the practical applications of simplifying fractions and understanding percentages.

Understanding the Fraction 15/55

The fraction 15/55 represents 15 parts out of a total of 55 parts. To understand its value better, we need to simplify it.

Simplifying the Fraction

Simplifying a fraction means reducing it to its lowest terms. We do this by finding the greatest common divisor (GCD) of both the numerator (15) and the denominator (55).

The GCD of 15 and 55 is 5. This means we can divide both the numerator and the denominator by 5:

15 ÷ 5 = 3 55 ÷ 5 = 11

Therefore, the simplified fraction is 3/11.

Converting to a Percentage

To express 3/11 as a percentage, we divide the numerator (3) by the denominator (11) and multiply the result by 100:

3 ÷ 11 ≈ 0.2727 0.2727 × 100 ≈ 27.27%

Therefore, 15/55 is approximately 27.27%.

Practical Applications

Understanding fractions and percentages is crucial in many everyday situations, including:

Calculating discounts: If a store offers a 15/55 (or 27.27%) discount, you can easily calculate your savings.
Determining proportions: Fractions help you understand ratios and proportions in various contexts, like cooking or mixing ingredients.
Analyzing data: Percentages are frequently used to represent data in charts, graphs, and reports.

Further Exploration: Working with Fractions and Percentages

Here are some additional resources to help you improve your understanding of fractions and percentages:

Online fraction calculators: Many websites offer free fraction calculators that can simplify fractions and perform other calculations.
Khan Academy: This online learning platform offers excellent resources on fractions, decimals, and percentages.
Math textbooks: Your local library or bookstore will have a variety of math textbooks that cover these topics in detail.

Remember, mastering fractions and percentages is a valuable skill that can help you in various aspects of your life, both personal and professional. By understanding how to simplify fractions and convert them to percentages, you'll be better equipped to handle numerical problems efficiently and accurately.