Converting Fractions to PercentsDate: 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/ |
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