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## 6th grade

### Course: 6th grade > Unit 3

Lesson 4: Equivalent representations of percent problems- Fraction, decimal, and percent from visual model
- Converting percents to decimals & fractions example
- Percent of a whole number
- Ways to rewrite a percentage
- Converting between percents, fractions, & decimals
- Equivalent representations of percent problems
- Finding common percentages
- Benchmark percents
- Converting percents and fractions review
- Converting decimals and percents review

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# 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 |
---|---|---|

50, percent | start fraction, 1, divided by, 2, end fraction | 0, point, 5 |

In conversation, we might say Ben ate 50, percent of the pizza, or start fraction, 1, divided by, 2, end fraction of the pizza, or 0, point, 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, percent to a simplified fraction.

We figured out that 15, percent is equivalent to start fraction, 3, divided by, 20, end fraction.

### Fractions to percents

Let's convert start fraction, 3, divided by, 5, end fraction to a percent. The key here is to turn start fraction, 3, divided by, 5, end fraction 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, divided by, 5, equals, start color #11accd, 20, end color #11accd:

Now we're ready to convert start fraction, 3, divided by, 5, end fraction to a percent:

We figured out that start fraction, 3, divided by, 5, end fraction is equivalent to 60, percent.

## Converting between percents and decimals

### Percents to decimals

Let's convert 8, percent to a decimal:

We figured out that 8, percent is equivalent to 0, point, 08.

### Practice:

### Decimals to percents

Let's convert 0, point, 05 to a percent:

We figured out that 0, point, 05 is equivalent to 5, percent.

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.(71 votes)
- Dude this is so fun and supper easy(29 votes)

- so what the difference between 0.4 and 4 as a example i was confused(17 votes)
- 0.4 is 40 while 4 is a whole number. 0.04 is 4(36 votes)

- Thanku Sal you the G.O.A.T at teaching logical solutions(30 votes)
- Wrong section,

THIS is the*questions*section, not the*tips and thanks*section.(0 votes)

- some of the precents were way harder than others(21 votes)
- How would u convert 11/5 into a percentage(12 votes)
- Multiply by 100 and you will have a percent. Simplify your answer into decimal form.(16 votes)

- i need extra practice can anyone like tutor me?(14 votes)
- on what I can help with almost anything just ask(8 votes)

- how can something be turned into a decimal again(10 votes)
- For example 50 percent would be turned into 0.5 as a decimal. 3 percent would be turned into 0.03. Got it?(9 votes)

- I have a test tomorrow so I’d better do good on it because I flunked the last one!(12 votes)
- so do you always do it by 100(8 votes)
- how do you convert 1/3 to percentage since there is not a whole number you can multiply to 3 to get 100(4 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%(9 votes)