what is 5/ 16 expressed as a percentage
The Correct Answer and Explanation is:
To express 516\frac{5}{16}165 as a percentage, follow these steps:
- Divide 5 by 16 to get the decimal form of the fraction: 5÷16=0.31255 \div 16 = 0.31255÷16=0.3125
- Convert the decimal to a percentage by multiplying the result by 100: 0.3125×100=31.250.3125 \times 100 = 31.250.3125×100=31.25 So, 516\frac{5}{16}165 expressed as a percentage is 31.25%.
Explanation:
Fractions can be converted into percentages by first dividing the numerator (the top number of the fraction) by the denominator (the bottom number of the fraction), then multiplying the result by 100. The reason for multiplying by 100 is because a percentage is simply a fraction with a denominator of 100. So, the number 31.25 means 31.25 out of every 100, which is the same as saying 31.25%.
Converting fractions to percentages is a useful skill because percentages are a more intuitive way to compare different quantities. For example, if you were analyzing test scores or comparing proportions of ingredients in recipes, percentages provide a clear and easy-to-understand way of presenting that information.
In this case, 516\frac{5}{16}165 represents a little more than a quarter of a whole, which is reflected by its percentage, 31.25%. The decimal form (0.3125) helps us to understand the fraction in more precise terms, while the percentage helps us interpret how that fraction compares to 100%, which is often a more familiar scale.
