How To Convert Fractions To A Percentage
Introduction
You may have been asked to convert a fraction to a percentage before, but didn’t know how. Or, you may be asked to do so in the future and want to be prepared. In this blog post, we’ll explain how to convert fractions to percentages in just a few steps. We’ll also provide some practice problems at the end so that you can get some extra practice.
What is a percentage?
When you hear the word “percentage,” you might think of grades in school or how much tip to leave at a restaurant. But what is a percentage, really?
A percentage is a way of expressing a number as a fraction of 100. In other words, it’s a way to show how many out of 100 something is.
For example, let’s say you got 80 out of 100 on a test. You could express that as an 80% because 80 out of 100 is the same as 4/5. We would say that you got an 80% on the test.
Similarly, if you wanted to leave a 20% tip on your $50 bill at the restaurant, you would be leaving $10 because 20% of $50 is $10.
You can also use percentages to compare two numbers. For example, let’s say Company A made $100 last year and Company B made $200. You could say that Company B made twice as much money as Company A because 200% of Company A’s earnings is $200 (or 2 x $100).
Hopefully this has helped clear things up! The next time someone asks you what a percentage is, you’ll be able to explain it with ease.
What is a fraction?
A fraction is a number that represents a part of a whole. For example, if you have three pieces of candy and you want to divide them equally between two people, each person would get one and a half pieces of candy. One and a half can be written as 1/2, which is read as “one-half.”
To convert fractions to percentages, we need to understand what a percentage is. A percentage is a number that represents how large something is in comparison to another number. For example, if you had two pieces of candy and one was twice as big as the other, you could say that the larger piece was 200% the size of the smaller piece. To find the percentage of something, we take the amount we are looking for and divide it by the total amount. So, in our previous example, we would take 2 (the amount we are looking for) and divide it by 3 (the total amount), which would give us 66.67%.
Now that we know what fractions and percentages are, let’s look at how to convert fractions to percentages. The easiest way to do this is to use a calculator; however, if you don’t have one handy or if you want to brush up on your mathematical skills, there’s an easy way to do it without a calculator too!
To convert fractions to percentages without a calculator, first identify the fraction you are working with. In our earlier example, the fraction was 1/2.
How to convert fractions to percentages
To convert fractions to percentages, divide the numerator (top number) by the denominator (bottom number). Then, multiply this answer by 100. The resulting number is the percentage.
For example, let’s convert the fraction ¾ to a percent. We divide 3 by 4 to get 0.75. We then multiply 0.75 by 100 to get 75%. So, ¾ = 75%.
Conclusion
Converting fractions to percentages is a skill that can come in handy in a variety of situations. Hopefully this guide has given you the confidence to convert fractions to percentages quickly and easily. If you need any further help, feel free to leave a comment below.
