To convert a fraction to a percentage, you need to divide the numerator by the denominator and then multiply by 100. In this case, the fraction is 7/20. So to convert it to a percentage, you need to follow the steps below:
Step 1: Divide the numerator by the denominator 7 ÷ 20 = 0.35
Step 2: Multiply the result by 100 to get the percentage 0.35 x 100 = 35%
Therefore, 7/20 as a percentage is 35%.
Now that we have the answer, let’s talk a bit more about fractions and percentages and how to convert between the two.
A fraction is a number that represents a part of a whole. It consists of two numbers: a numerator and a denominator. The numerator represents the part of the whole that you are interested in, and the denominator represents the total number of parts that make up the whole.
A percentage is a number that represents a part of 100. It is often used to express a proportion or rate. For example, if 25 out of 100 students in a class are girls, we can say that the percentage of girls in the class is 25%.
To convert a fraction to a percentage, you need to follow the steps we outlined above. Here’s another example:
Example: Convert 3/4 to a percentage
Step 1: Divide the numerator by the denominator 3 ÷ 4 = 0.75
Step 2: Multiply the result by 100 to get the percentage 0.75 x 100 = 75%
Therefore, 3/4 as a percentage is 75%.
Conversely, to convert a percentage to a fraction, you need to divide the percentage by 100 and simplify the resulting fraction if necessary. Here’s an example:
Example: Convert 60% to a fraction
Step 1: Divide the percentage by 100 60 ÷ 100 = 0.6
Step 2: Simplify the fraction 0.6 = 6/10 = 3/5
Therefore, 60% as a fraction is 3/5.
In conclusion, converting between fractions and percentages is a fundamental skill in mathematics. To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100. To convert a percentage to a fraction, divide the percentage by 100 and simplify the resulting fraction if necessary.