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### Converting Fractions to Percents

```
Date: 04/24/2001 at 08:49:15
From: Kathy Donelli
Subject: Converting repeating fractions to percents

I am having problems trying to explain to my students how to show
a fraction such as 4/9, 10/9, or 11/12 as a percentage. I know that
you can divide to find a decimal or mixed decimal for each fraction,
and then write the decimal as a percentage, but is there any rule to
use as a guide as to how to show the answer?

I also know that 1/3 = 33 1/3 %, but what do I do with the above kinds
of fractions?

Thanks.
```

```
Date: 04/24/2001 at 12:34:21
From: Doctor Peterson
Subject: Re: Converting repeating fractions to percents

Hi, Kathy.

In converting a fraction to a percentage, there are two steps: convert
to a decimal, and multiply by 100%. You are doing it in that order,
but that is not necessary.

Instead, FIRST multiply by 100%, and THEN convert to a decimal or a
mixed number.

For example,

4/9 = 4/9 * 100% = 400/9 % = 44 4/9 %

I just multiplied by 100% and then divided; seeing that I was going to
get a repeating decimal, I chose to write it as a mixed fraction
instead. I could have written it as a repeating decimal:
_
44.4%

Of course, in many situations I would want to round off the decimal.
Any of these answers would be acceptable, depending on the
circumstances.

- Doctor Peterson, The Math Forum
http://mathforum.org/dr.math/
```
Associated Topics:
Middle School Fractions

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