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Algebra I: High School20 chapters | 168 lessons | 1 flashcard set

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Lesson Transcript

Instructor:
*Jennifer Beddoe*

There are times when it is important to know how to convert a fraction to a percent. Fortunately, the steps to perform this conversion are not difficult. This lesson will show you those steps and give some examples.

Have you ever been at the mall shopping for new clothes, and you see a sign - '1/3 off everything on this rack'? Then you turn and see another sign - 'Everything with a red dot is 35% off'. Your budget is tight, so the sale will really help out. But which sale is a better deal? Fortunately, you know how to convert a fraction to a percent, so you can easily tell where to begin looking for the best deal.

A **fraction** is a number that represents a part of a whole number. Numbers such as 1/2 and 35/72 are fractions.

A **percent** is a ratio expressed as a fraction of 100. Examples of percents are 25% and 85%

There are two ways to convert a fraction to a percent. Both take a little math skills, but are not difficult at all.

The first method works best with a calculator, but can be done without one. The steps are as follows:

1. Divide the top number by the bottom number.

2. Multiply that result by 100.

For example -

Convert 3/5 to a percent.

3 divided by 5 is 0.6.

0.6 * 100 is 60.

So, 3/5 is 60%.

The second method is to change the fraction so that the denominator is 100. This works because percent means per 100, so if the fraction has 100 as the denominator, the numerator will be the percent.

The steps for converting fractions to percents using this method are:

1. Change your fraction so that the denominator is 100. Remember that whatever you do to change the denominator, you must do the same to the numerator.

2. The new numerator will be your percent.

Let's convert the same example as before, using this new method.

Convert 3/5 to a percent.

Since 5 * 20 is 100, to change the denominator of this fraction to 100, you need to multiply it by 20.

Next, multiply the numerator by 20 and get 60.

So 3/5 = 60/100

And 60% is the answer.

Let's go back to our shopping example. In order to determine which sale is better, we need to convert the fraction to a percent. Then we will be able to compare the two percents and determine which is greater.

Convert 1/3 to a percent.

Since it is not readily apparent what we can multiply to 3 to get 100, let's use the first method to solve this one.

1 divided by 3 = 0.333

Then multiply 0.333 times 100 to get 33.3

So, 1/3 = 33.3%.

When we compare the two percents, we see that the sale offering the 35% discount is a better deal than the 1/3 off sale. Let's start looking on that rack.

There are two methods that can be used to convert a fraction to a percent. The first is to divide the numerator by the denominator and then multiply the result by 100. The second method is to convert the fraction to one that has a denominator of 100. After converting the fraction, the numerator will be equal to the percent.

After watching this lesson, you should be able to apply two methods to convert fractions into percents.

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Algebra I: High School20 chapters | 168 lessons | 1 flashcard set

- What is a Percent? - Definition & Examples 4:20
- Converting from Percent Notation to Decimal Notation 2:37
- Converting Percent Notation to Fraction Notation 3:16
- Changing Between Decimals and Percents 4:53
- Changing Between Decimals and Fractions 7:17
- Converting Fractions to Percents 3:43
- Go to High School Algebra: Percent Notation

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