Converting 15 out of 25 to a Percentage: A Detailed Guide

Understanding how to convert a fraction to a percentage is a fundamental skill in mathematics. In this article, we will explore in detail how to convert 15 out of 25 to a percentage, using various methods to ensure clarity and comprehension.

Understanding Percentages

A percentage is a way of expressing a number as a fraction of 100. It is often denoted using the percent sign (%). To convert a fraction to a percentage, follow these steps:

Divide the numerator by the denominator. Multiply the result by 100. Add the percent sign (%) to the result.

Converting 15 out of 25 to a Percentage

Let's start with the problem to convert 15 out of 25 to a percentage. We will follow the provided solution and discuss each step:

Multiplication Method

Start with the given fraction: 15 out of 25.

Use the formula: Percentage (Part / Whole) * 100.

Substitute the values:

(15 / 25) * 100 0.6 * 100 60%.

Therefore, 15 out of 25 is equal to 60%.

Fraction Simplification

First, simplify the fraction: 15 / 25.

The fraction 15 / 25 simplifies to 3 / 5.

Now, convert the simplified fraction to a percentage:

(3 / 5) * 100 (300 / 5) 60%.

This method confirms our previous result using a simplified fraction.

Multiplication of Decimals

Another method involves converting the fraction to a decimal and then to a percentage:

Divide 15 by 25 to get the decimal:

15 / 25 0.6.

Multiply the decimal by 100 to get the percentage:

0.6 * 100 60%.

Alternative Approach: Cross Multiplication

Another method involves using cross multiplication, as shown below:

Assume the unknown percentage as x:

x / 100 * 25 15.

Isolate x by solving the equation:

x (15 * 100) / 25 60.

Additional Context and Examples

Let's look at additional examples to solidify our understanding:

Example 1: 15 out of 30

To find 15 out of 30 as a percentage, we use the same conversion formula:

Let's use the formula: Percentage (Part / Whole) * 100.

Substitute the values:

(15 / 30) * 100 0.5 * 100 50%.

Therefore, 15 out of 30 is 50%.

Example 2: 0.15 * 30

For this problem, we can directly multiply:

Multiply 0.15 by 30:

0.15 * 30 4.5.

Thus, 4.5% of 30 is 4.5.

Conclusion

Converting a fraction to a percentage is an essential skill in mathematics and everyday calculations. By understanding and practicing these steps, you can easily find what 15 out of 25 is as a percentage, or any other similar problems. Whether you use the multiplication method, fraction simplification, or cross multiplication, the result will always be the same: 60%.