How to Convert a Fraction to a Percent

Converting a fraction to a percent takes two steps:

1	Convert the fractions to a decimal.
2	Convert the decimal to a percent.

If the denominator is 10 or 100, then it's a snap!

Convert

to a percent:

Convert

to a percent:

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YOUR TURN:

Convert

to a percent:

Convert

to a percent:

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 If you can easily change the denominator to 10 or 100 (or any power of 10), do it!

Convert

to a percent:

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TRY IT:

Convert

to a percent:

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Here's one that's a little trickier:

Convert

to a percent:

Yes, you CAN have a percent
that still has a decimal in the front!
Weird, huh?

So, what happens when you can't make the denominator a pretty power of 10?

Well, we just use long division and do a little rounding.  Let's just make our answers go to one decimal point.

Let's try one:

Convert

to a percent:

First, we use long division to convert the fraction to a decimal...

Just like we thought, it's giving a repeating decimal:

So, we can give our answer as

Or we can round off and approximate the answer as

Notice that I used a wavy equals for "approximately equal!"

 Here's another one:

Convert

to a percent:

** We'll need to do our long division out to four decimal places to have our percent answer be rounded to one decimal place.  You'll see!

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TRY IT:

Convert

to a percent:

Can you make a good guess first?  How much pizza will this be?

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http://www.coolmath.com/prealgebra/03-percents/05-percents-convert-fraction-to-percent-01