39 out of 40 as a percent
The correct answer and explanation is:
Correct Answer:
To convert 39 out of 40 to a percent: 3940×100=97.5%\frac{39}{40} \times 100 = 97.5\%
Detailed 300-Word Explanation:
To convert a fraction into a percentage, you multiply the fraction by 100. This is because a percent literally means “per hundred,” so we are finding out how many parts out of 100 the fraction represents.
In this problem, the fraction is 39 out of 40, written as: 3940\frac{39}{40}
To convert it to a percentage: 3940×100=97.5%\frac{39}{40} \times 100 = 97.5\%
This means that 39 is 97.5% of 40.
Let’s break down what this tells us:
- The numerator (top number), 39, represents how many items, questions, or parts you have.
- The denominator (bottom number), 40, represents the total possible number.
- When you multiply this fraction by 100, you find what percentage of the total you got.
This type of calculation is common in grading, surveys, or any statistical measurement where you want to see performance or results expressed in percentages.
Why Is This Important?
Understanding how to convert a fraction to a percent helps you interpret and communicate results more clearly. For example, if you score 39 out of 40 on a test, you’d want to know your performance as a percentage. A 97.5% score is excellent and helps you understand how close you were to a perfect score.
Percentages are also helpful in comparing performance across different tests or situations. For instance, scoring 39 out of 40 (97.5%) is better than scoring 78 out of 100 (78%).
Summary:
39 out of 40=97.5%\boxed{39 \text{ out of } 40 = 97.5\%}
This shows a very high level of accuracy or performance and reflects that only 1 out of 40 was incorrect.