33 1/3 Percent as a FractionDate: 08/03/2003 at 12:50:41 From: Nerd Subject: Percents I need help turning percents like 33 1/3%, 2.5%, and other percents like that into fractions. Can you help me? Date: 08/03/2003 at 15:47:31 From: Doctor Ian Subject: Re: Percents Hi Nerd, The thing to remember about a percentage is that it's just a fraction with a denominator of 100. That's all it is. So 22% is exactly the same as 22/100. This means that 33% is the same as 33/100, and 33 1/3% is the same as 33 1/3 ------ 100 Now, this is a pretty ugly fraction. It would be nicer-looking if we multiplied the numerator and denominator by 3, which changes the appearance without changing the value: 33 1/3 3 100 ------ * - = --- 100 3 300 And this can be simplified to 1/3. Now, what about 2.5%? This is the same as 2.5 --- 100 This would be nicer looking if we got rid of the decimal places, which we can do by multiplying the numerator and denominator by powers of 10: 2.5 10 25 --- * -- = ---- 100 10 1000 This, too, can be simplified. I'll leave that to you. But this is the basic idea: Put the percentage in the numerator, make the denominator 100, and do what you have to do to get an integer in the numerator. Then simplify. Does this make sense? - Doctor Ian, The Math Forum http://mathforum.org/dr.math/ Date: 08/03/2003 at 18:25:42 From: Nerd Subject: Thank you (Percents) Thank you so much for the help. You have helped me understand this concept really well! |
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