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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.(70 votes)
- Dude this is so fun and supper easy(28 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(35 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)