Find the percent equivalent to the ratio 14 to 25
The correct answer and explanation is:
Answer:
The percent equivalent of the ratio 14 to 25 is 56%.
Explanation (300 words):
To find the percent equivalent of a ratio, you convert the ratio into a fraction and then multiply by 100 to express it as a percentage.
Let’s break it down:
The ratio 14 to 25 can be written as the fraction: 1425\frac{14}{25}
Now, to convert this fraction into a percent, multiply it by 100: 1425×100=56%\frac{14}{25} \times 100 = 56\%
So, the ratio 14:25 is equal to 56%.
Why this works:
Percent means “per hundred.” So when you convert any ratio or fraction into a percent, you are essentially finding how many parts out of 100 the ratio represents.
In this case, 14 out of 25 is a little over half (since 12.5 out of 25 is exactly 50%). By multiplying by 100, you determine how many parts that would be if the whole were 100 instead of 25. That’s why: 1425=0.56 and 0.56×100=56%\frac{14}{25} = 0.56 \text{ and } 0.56 \times 100 = 56\%
Real-life application:
Imagine you answered 14 questions correctly out of 25 on a quiz. To understand your performance as a percentage, you convert the score to percent form: 1425×100=56%\frac{14}{25} \times 100 = 56\%
So you scored 56% on that quiz.
Understanding how to convert ratios into percentages is helpful in school, business, and everyday decisions—like calculating discounts, analyzing test scores, or comparing quantities.
Conclusion:
The ratio 14 to 25 equals 56%. To convert any ratio to a percent, divide the first number by the second, then multiply the result by 100.