Change 17 out of 25 to a percentage.
The Correct Answer and Explanation is:
To change 17 out of 25 to a percentage, follow these steps:
Step 1: Divide 17 by 25
First, divide the numerator (17) by the denominator (25).
[
\frac{17}{25} = 0.68
]
Step 2: Multiply the result by 100
Next, multiply the result from Step 1 by 100 to convert it into a percentage.
[
0.68 \times 100 = 68\%
]
Final Answer:
17 out of 25 is 68%.
Explanation:
When you are asked to express a fraction as a percentage, you are essentially determining how many parts out of 100 the given fraction represents. The process involves two simple steps: first, dividing the numerator (the top number in the fraction) by the denominator (the bottom number), and then multiplying the result by 100 to convert the decimal into a percentage.
For example, 17 out of 25 means that for every 25 parts, 17 parts are being considered. To determine how this relates to 100 parts, divide 17 by 25, which gives 0.68. This decimal represents 68 hundredths, or 68%. Multiplying 0.68 by 100 helps you express it in terms of “per 100,” which is the standard format for percentages.
It’s important to understand the relationship between fractions and percentages because percentages are often easier to interpret in daily life. For example, if you scored 17 out of 25 on a test, saying you scored 68% gives a clearer picture of your performance than simply saying “17 out of 25.”
In various applications, percentages are used to compare values, such as discounts, interest rates, or test scores, and knowing how to convert fractions to percentages allows for better understanding and communication of those comparisons.