# Percentage and fraction question

• August 9th 2008, 10:22 AM
Percentage and fraction question
How do I turn 83 1/3 % into a fraction? I already have this:

83 and 1/3 divided by 100. I don't know what to do after that.
• August 9th 2008, 10:41 AM
masters
Quote:

Originally Posted by ladyk
How do I turn 83 1/3 % into a fraction? I already have this:

83 and 1/3 divided by 100. I don't know what to do after that.

Apply basic arithmetic like this:

$83\frac{1}{3}\div 100 = \frac{250}{3}\times\frac{1}{100}=\frac{250}{300}=\ frac{5}{6}$
• August 10th 2008, 04:37 AM
Why would 83 1/3 % be changed to 250/3? That's what I'm having a hard time understanding.
• August 10th 2008, 04:52 AM
Simplicity
Quote:

Originally Posted by ladyk
Why would 83 1/3 % be changed to 250/3? That's what I'm having a hard time understanding.

So that you could multiply the fraction more easily and quicker. It would be just consist of more steps to multiply a fraction with a mixed fraction thats why it is changed to a top heavy fraction.

$\frac{250}{3}\times\frac{1}{100} = \frac{250 \times 1}{3 \times 100} = \frac{250}{300} = \frac{5}{6}$ < Completed in 4 Steps

$83 \frac13 \times \frac{1}{100} = \left(\frac{83}{1} \times \frac{1}{100}\right) + \left( \frac{1}{3} \times \frac{1}{100}\right) = \left(\frac{83}{100}\right) + \left(\frac{1}{300}\right) =$ $\left(\frac{249}{300}\right) + \left(\frac{1}{300}\right) = \frac{250}{300} = \frac{5}{6}$ <Completed in 6 steps

Hence it is easier to multiply fraction by converting a mixed fraction to a top heavy fraction as it can be completed in less steps.
• August 10th 2008, 04:55 AM