what is a 11.25 out of 12.5

2 min read 23-12-2024

What is 11.25 out of 12.5? Understanding Percentages and Ratios

Title Tag: 11.25 out of 12.5: Percentage & Ratio Explained

Meta Description: Confused about what 11.25 out of 12.5 represents? This guide clearly explains how to calculate the percentage and ratio, providing simple steps and practical examples. Learn to easily convert fractions into percentages.

Understanding what 11.25 out of 12.5 represents involves calculating both a percentage and a ratio. Let's break it down:

Calculating the Percentage

To find the percentage, we'll use the following formula:

(Part / Whole) * 100%

In this case:

Part: 11.25
Whole: 12.5

So the calculation is:

(11.25 / 12.5) * 100% = 90%

Therefore, 11.25 out of 12.5 is 90%. This means that 11.25 represents 90% of the total value of 12.5.

Understanding the Ratio

The ratio expresses the relationship between two numbers. In this case, the ratio is:

11.25 : 12.5

This can be simplified by dividing both numbers by their greatest common divisor (GCD). The GCD of 11.25 and 12.5 is 2.5. Dividing both numbers by 2.5 gives us a simplified ratio of:

4.5 : 5

This ratio indicates that for every 5 units of the whole, 4.5 units are represented by 11.25.

Practical Applications

Understanding percentages and ratios is crucial in many areas:

Grades: If 12.5 represents the total points possible on an assignment and you scored 11.25, you achieved a 90%.
Sales: If a target is 12.5 units sold, and 11.25 units were sold, then 90% of the target was met.
Surveys: If 12.5 people were surveyed, and 11.25 responded positively, the positive response rate is 90%.

Further Exploration: Converting Fractions to Percentages

The process above involves converting a fraction (11.25/12.5) into a percentage. Here's a generalized approach:

Divide the numerator (top number) by the denominator (bottom number): 11.25 ÷ 12.5 = 0.9
Multiply the result by 100: 0.9 * 100 = 90
Add the percentage symbol: 90%

This method works for any fraction you need to convert to a percentage.

Conclusion

Understanding how to calculate percentages and ratios from fractional values like 11.25 out of 12.5 is a fundamental mathematical skill with wide-ranging applications. By following the steps outlined above, you can easily determine the percentage and ratio for any similar problem. Remember to always clearly identify the "part" and the "whole" before beginning your calculations.