Calculating percentages is a useful skill that can be applied in various fields, from finance to everyday life. In this article, we will explore how to express the fraction 13 out of 25 as a percentage.
What is a Percentage?
A percentage is a way of expressing a number as a fraction of 100. It is denoted by the symbol %. When we say "percentage," we are essentially referring to how much one number represents out of another when scaled to 100.
Calculating the Percentage
To convert the fraction 13/25 into a percentage, you can use the following formula:
[ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 ]
In our case:
- Part = 13
- Whole = 25
Substituting these values into the formula gives us:
[ \text{Percentage} = \left( \frac{13}{25} \right) \times 100 ]
Performing the Calculation
Now, let’s break down the calculation step by step:
-
Divide 13 by 25: [ 13 \div 25 = 0.52 ]
-
Multiply by 100: [ 0.52 \times 100 = 52 ]
Thus, 13 out of 25 is equal to 52%.
Summary
In summary, when you want to express 13 out of 25 as a percentage, you find that it equals 52%. Understanding how to convert fractions to percentages can greatly enhance your numerical literacy and is beneficial in many practical applications, such as budgeting, statistics, and more.
