Main content

### Course: Pre-algebra > Unit 4

Lesson 3: 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

© 2024 Khan AcademyTerms of usePrivacy PolicyCookie Notice

# Converting percents to decimals & fractions example

Converting percentages to decimals and fractions is a fundamental math skill. To convert 18% into a decimal, simply divide by 100, resulting in 0.18. To express it as a simplified fraction, find the greatest common factor, which in this case is 2, and divide both the numerator and denominator by it, giving us 9/50. Created by Sal Khan and Monterey Institute for Technology and Education.

## Want to join the conversation?

- how do make percents into fractions(39 votes)
- Hi Connor - I like to think of a "percent" as a "fraction of 100". For example, 80% is the same thing as the fraction 80/100.

Once you have your fraction of 100, you can then simplify it. In this case, both 80 and 100 are divisible by 10, so 80/100 would equal 8/10. And since in this fraction, both 8 and 10 are divisible by 2, you can simplify it to 4/5. So that's how you can convert a percent into a fraction.(64 votes)

- um does anyone answer these anymore?(25 votes)
- I would want to but everyone already does.(5 votes)

- Honestly, I used to get so worried when trying to do percentage problems. But once I actually do them now, its really simple!(20 votes)
- What would 4% equal? I'm stuck. (Don't judge me I am horrible at these 😂)(15 votes)
- What are you looking for, Fraction Form, or Decimal Form? Don't worry, I'll answer both.

4% is 4/100, which if we divide by 4, would equal 1/25 in Fraction Form. In decimal form, it would be 0.04, since 1 would equal 100% in this case and 0.04 is 4% of one.

Hope this answered your question, Hayley!(5 votes)

- How to change .08 to a fraction(7 votes)
- It would be 8/10.(2 votes)

- What if, when you are trying to convert a fraction to a percentage but the denominator is not a factor of 100? How do you do it?(3 votes)
- The following assumes you are asking to perform all calculations manually.

One way to do it is to perform long division to convert the fraction to a decimal, then you can multiply the decimal by 100 to get a percentage. This assumes you know how to perform long division with decimals in the quotient and the dividend.

For example, if the fraction is 5/16, you could use long division to get a decimal answer to 5 divided by 16 and then multiply that by 100.

Another method is to multiply the fraction by 100 first to get 500/16 then perform long division to get a straight percentage.

If you don't know how to do long division with decimals in the quotient and dividend then using a calculator is probably the best option. (I would use a calculator in this case anyway even though I know long division)

Using a calculator it is as easy as entering 5 / 16 and either pressing the percent key or multiplying by 100.(15 votes)

- can't you just put 18 over 100 then simplify to get your answer?(5 votes)
- Yes, it could be easier to you depending on how your brain works. So yes.(11 votes)

- what 22/25 of per cent of %(6 votes)
- 22/25 in a percent would be 88%,

because you would multiply 25 by 4 to get to 100, then multiply 22 by 4, which equals 88, so 88%( hope this is helpful!)(4 votes)

- How to convert 31/50 into fractino(3 votes)
- wdym it is a fraction(4 votes)

- I want to no how to convert percentage into fraction(3 votes)
- Its like conversion with money for example if you have 25 cents you have 1/4 that is how you do it for money because 4 quarters is a dollar so you have denominator 4(3 votes)

## Video transcript

Write 18% as a decimal and as
a fraction in simplest form. So let's do it as a decimal
first. So 18% is the same thing as 18 per 100,
or 18 per cent. I'm actually separating out the
percent, it's only going to be one word, but
I'm writing it as, literally, per cent. Cent means the same
thing as 100. So this literally means
18 per 100. Actually, I said I would do the
decimal first, but we can start putting it into a fraction
first. 18 per 100 as a fraction literally
means 18/100. We're literally doing the
fraction first. This literally means 18 per 100, or
18 hundredths. From here we can go straight
to a decimal or we could do this fraction in
simplest form. Let's do the decimal first, just
because that's actually what I said I would do first.
Let's do that first. This is the same thing as
18 hundredths. And we know how to write
that in decimal form. It's 0.18. You could view this as 1 tenth
and 8 hundredths, which is the same thing, or 10 hundredths and
8 hundredths, which is 18 hundredths. So this is written
in decimal form. And if we write it as a
simplified fraction, we need to see if there is a common
factor for 18 and 100. And they're both even numbers,
so we know they're both divisible by 2, so let's divide
both the numerator and the denominator by 2. So we have 18 divided by 2
over 100 divided by 2. And we're going to get
18 divided by 2 is 9. 100 divided by 2 is 50. And I don't think these guys
share any common factors. 50 is not divisible by 3. 9 is only divisible
by 3 and 1 and 9. So this is the fraction
in simplest form. So we have 18% is the same thing
as 0.18, which is the same thing, in simplest
form, as 9/50. Now, I went through a lot of
pain here to show you that this really just comes
from the word, from percent, from per 100. But if you ever were to see this
in a problem, the fast way to do this is to immediately
say, OK, if I have 18%, you should immediately say,
anything in front of the percent-- that's that anything,
whatever this anything is-- it should be
equal to that anything. In this case it's 18/100. And another way to think
about it, you could view this as 18.0%. I just added a trailing zero
there, just so that you see the decimal, really. But if you want to express this
as a decimal without the percent, you just move
the decimal to the left two spaces. So if we move the decimal to the
left two spaces, one, two, this becomes 0.18. Or you could immediately
say that 18% as a fraction is 18/100. When you put it in simplified
form, it's 9/50. But you should also see that
18/100, and we have seen this, is the exact same thing as
18 hundredths, or 0.18. Hopefully, this made some
connections for you and didn't confuse you.