Convert the following fraction to a percent: 23/25.
The Correct Answer and Explanation is:
Correct Answer:
The fraction 23/25 as a percent is 92%.
Detailed Explanation:
To convert a fraction to a percent, you follow a simple process that involves multiplying the fraction by 100. This works because percent means “per hundred,” so expressing a fraction as a percent is just showing how many parts out of 100 the fraction represents.
The steps are as follows:
Step 1: Write the fraction
We are given the fraction 23/25.
Step 2: Multiply the fraction by 1002325×100=23×10025\frac{23}{25} \times 100 = \frac{23 \times 100}{25}2523×100=2523×100
Step 3: Simplify the expression
First, multiply the numerator:23×100=230023 \times 100 = 230023×100=2300
Then, divide by the denominator:230025=92\frac{2300}{25} = 92252300=92
Step 4: Add the percent symbol
Thus, 23/25 is equivalent to 92%.
Why this works:
Percentages are widely used to express proportions, comparisons, or probabilities in a form that is easy to understand. For example, a test score of 23 out of 25 means the student got 92% of the questions correct.
Another way to see this is to convert the fraction to a decimal first:2325=0.92\frac{23}{25} = 0.922523=0.92
Then multiply by 100 to get:0.92×100=92%0.92 \times 100 = 92\%0.92×100=92%
This method is helpful if you are more comfortable working with decimals. Whether you use the direct multiplication method or convert to a decimal first, both approaches give the same result of 92%.
Understanding this process is important for interpreting data, financial reports, grades, and everyday situations where percentages are used to express amounts or changes.
