#### Lesson 4: Converting Percentages, Decimals, and Fractions

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### Converting fractions, decimals, and percents

When we talk, we frequently use different words to express the same thing. For exemplar, we could describe the lapp car as **tiny** or **little** or **small**. All of these words mean the car is not boastfully. Fractions, decimals, and percents are like the words **tiny**, **little**, and **small**. They ‘re all just unlike ways of expressing **parts** of a **whole** .

In this image, each measuring cup has the like total of juice in it. But we ‘ve expressed this measure in three ways : as a fraction, as a percentage, and as a decimal. Since they ‘re expressing the lapp amount, we know that 1/2, 50 %, and 0.5 are equal to each other. any prison term we see 1/2, we ‘ll know it can besides mean 50 % or 0.5.

sometimes it ‘s useful to convert one kind of number into another. For model, it ‘s much easier to add 1/4 and 0.5 if you turn 0.5 into a fraction. Learning how to convert fractions, decimals, and percents will besides help you as you learn more advanced mathematics .

### Fractions and decimals

Every fraction can besides be written as a decimal, and vice versa. You may not do this very much, but converting decimals and fractions can help you in mathematics. For example, it ‘s easier to subtract 1/6 from 0.52 if you turn 1/6 into a decimal first .

#### Converting a fraction into a decimal

Let ‘s convert a divide into a decimal. We ‘ll be using a mathematics skill you ‘ve already learned : long division. To refresh your memory on this skill, you can review our Long Division lesson .

Click through the slideshow to learn how to convert a fraction into a decimal .

#### Try This!

Convert each of these fractions into a **decimal** .

#### Converting a decimal into a fraction

immediately we ‘ll do it in reverse. Let ‘s convert a decimal into a fraction .

Click through the slideshow to see how to convert a decimal into a fraction .

Reducing a fraction may seem unnecessary when you ‘re converting a decimal fraction. But it ‘s crucial if you ‘re going to use the fraction in a mathematics trouble. If you ‘re **adding** two fractions, you may even need to **reduce** or **change** both fractions so they have a **common denominator** .

#### Try This!

Convert these decimals into fractions. Be surely to **reduce** each fraction to its simplest form !

### Percents and decimals

Knowing how to convert percents and decimals will help you calculate things like sales tax and discounts. To learn how, check out our Percentages in real Life example .

#### Converting a percent into a decimal

Converting a percentage into a decimal fraction is surprisingly comfortable. It only takes a few simple steps .

Click through the slideshow to learn how to convert a percentage into a decimal fraction .

#### Why does this work?

Converting percents into decimals is so easy that you may feel like you ‘ve missed something. But do n’t worry—it very is that bare ! here ‘s why the method acting we showed you works .

When we turn a percentage into a decimal, we ‘re actually doing two steps. First, we convert our percentage into a fraction. Since all percents are out of 100, we just put the percentage over 100, like this :

78 % = 78/100

In the moment footstep, we convert 78/100 into a decimal. You already know this means we ‘ll divide the **numerator** by the **denominator**, like this :

78 ÷ 100 = 0.78

indeed why did n’t we show you these steps in the slideshow ? Because you can get the answer without them. You know that all percents are out of 100, so you can skip making the percentage into a fraction. You have to divide the percentage by 100 to get a decimal, but there ‘s a flying way to do that. equitable move the decimal point two spaces to the left ! This direction, you can get the lapp solution with just one easy step .

#### Try This!

Convert these percents into decimals .

#### Converting a decimal into a percent

now we ‘ll reverse what you precisely learned. Let ‘s convert a decimal into a percentage .

Click through the slideshow to see how to convert a decimal into a percentage .

#### Try This!

Calculate these decimals as percents .

### Percents and fractions

Knowing how to write percents as fractions and frailty versa can help you in your casual life. For example, let ‘s say you earned a grad of 80 % on a test. You can convert 80 % into a fraction to find out how many of your answers were correct. When your teacher grades the test, she may do the opposite. If a scholar got 8 out of 10 questions right, the teacher can convert 8/10 to a percentage to give the scholar a grad .

#### Converting a percent into a fraction

When you ‘re converting a percentage into a fraction, it helps to remember that percents are constantly out of 100. You can practice with percents in our introduction to Percentages moral .

Click through the slideshow to learn how to convert a percentage into a divide .

#### Try This!

Write these percentages as fractions. Make sure to **reduce** each divide to its simplest mannequin .

#### Converting a fraction into a percent

Converting a fraction uses two of the skills you barely learned : writing a **fraction as a decimal**, and writing a **decimal as a percent**. Let ‘s see how we can use these skills to convert a divide into a percentage .

Click through the slideshow to learn how to convert a fraction into a percentage .

#### Try This!

Convert these fractions into percents .