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### Course: 7th grade foundations (Eureka Math/EngageNY) > Unit 4

Lesson 1: Topic A: Foundations# Converting between percents, fractions, & decimals

For example, learn how 50%, 1/2, and 0.5 are all equivalent.

Percents, fractions, and decimals are all just different ways of writing numbers. For example, each of the following are equivalent:

Percent | Fraction | Decimal |
---|---|---|

In conversation, we might say Ben ate $50\mathrm{\%}$ of the pizza, or $\frac{1}{2}$ of the pizza, or $0.5$ of the pizza. All three of these phrases mean the exact same thing.

In this article, we'll learn how to convert between percents, fractions, and decimals.

## Converting between percents and fractions

### Percents to fractions

Let's look at an example converting $15\mathrm{\%}$ to a simplified fraction.

We figured out that $15\mathrm{\%}$ is equivalent to $\frac{3}{20}$ .

### Fractions to percents

Let's convert $\frac{3}{5}$ to a percent. The key here is to turn $\frac{3}{5}$ to a fraction with a denominator of $100$ . To do this, we need to know what times $5$ gives us $100$ :

The number is $100\xf75={20}$ :

Now we're ready to convert $\frac{3}{5}$ to a percent:

We figured out that $\frac{3}{5}$ is equivalent to $60\mathrm{\%}$ .

## Converting between percents and decimals

### Percents to decimals

Let's convert $8\mathrm{\%}$ to a decimal:

We figured out that $8\mathrm{\%}$ is equivalent to $0.08$ .

### Practice:

### Decimals to percents

Let's convert $0.05$ to a percent:

We figured out that $0.05$ is equivalent to $5\mathrm{\%}$ .

Converting from a decimal to a percent can be tricky when the decimal is in tenths. Let's see if you can figure it out!

### Practice:

## Practice set:

## Want to join the conversation?

- This is so fun to do especially when you know what to do.(130 votes)
- Dude this is so fun and supper easy(50 votes)

- so what the difference between 0.4 and 4 as a example i was confused(19 votes)
- 0.4 is 40 while 4 is a whole number. 0.04 is 4(46 votes)

- some of the precents were way harder than others(26 votes)
- How would u convert 11/5 into a percentage(15 votes)
- Multiply by 100 and you will have a percent. Simplify your answer into decimal form.(18 votes)

- i need extra practice can anyone like tutor me?(17 votes)
- on what I can help with almost anything just ask(11 votes)

- how can something be turned into a decimal again(12 votes)
- For example 50 percent would be turned into 0.5 as a decimal. 3 percent would be turned into 0.03. Got it?(12 votes)

- I have a test tomorrow so I’d better do good on it because I flunked the last one!(15 votes)
- how do you convert 1/3 to percentage since there is not a whole number you can multiply to 3 to get 100(7 votes)
- To convert any number to a percentage, multiply by 100.

1/3 (100) = 1/3 (100/1) = 100/3

Divide and you get: 33 1/3%(12 votes)

- so do you always do it by 100(8 votes)
- none of these examples explain why you divide the fractions by the number they are dividing by. Why do you divide 44/100 by 4? Why do you divide 15/100 by 5?(5 votes)
- Fractions always need to be fully reduced. If you don't remove the common factors from the numerator and denominator, you haven't finished the required work to get a correct answer.(3 votes)