convert 13 out of 100 into a ratio and then a percent.
The correct answer and explanation is:
To convert 13 out of 100 into a ratio and a percent, follow these steps:
Ratio:
The ratio is expressed as the relationship between two numbers, and it is typically written in the form of “a : b”, where “a” is the first number and “b” is the second. In this case, the ratio of 13 to 100 is: Ratio=13:100\text{Ratio} = 13 : 100
This means that for every 13 parts of one thing, there are 100 parts of another thing. It can also be read as “13 to 100.”
Percent:
To convert a ratio to a percentage, you multiply the ratio by 100. Here, the fraction 13 out of 100 can be written as: 13100×100=13%\frac{13}{100} \times 100 = 13\%
This means that 13 out of 100 is equivalent to 13 percent.
Explanation:
In mathematics, a ratio is used to show how two values relate to each other. It is a way to compare two quantities by division. For example, in the ratio 13 : 100, the number 13 represents the numerator (the first number), and the 100 is the denominator (the second number).
A percentage is a way of expressing a number as a fraction of 100. Percent means “per hundred.” Converting a fraction like 13/100 into a percentage involves multiplying it by 100. Since the denominator is already 100 in this case, you can directly say that 13 out of 100 is 13 percent.
In everyday life, percentages are often used to show parts of a whole in terms of 100. For example, when you hear that a store is offering a 13% discount, it means that the store is reducing the price by 13 out of every 100 units of currency.
So, 13/100 as a ratio is 13:100, and as a percentage, it is 13%.