Recall that percent literally means out of 100.

If you are given 45%, you know that this translates into 45 out of 100 or 45 / 100.

This fraction can then be reduced to 9 / 20.

 

When given percents containing decimals such as 25.5%, follow a similar procedure.

Change 25.5% to 25.5 / 100.

Now, move the decimal place to the right in the numerator and the denominator until you have rid the fraction of decimals.

Hence 25.5 / 100 becomes

255 / 1000.

Reduced 255 / 1000 = 51 / 200.

 

Sometimes the percents are less than 1…

.7% = .7 / 100 = 7 / 1000

Sometimes the percents are greater than 100…

125% = 125 / 100 = 1 25/100 = 1 1/4

In this case, we turned the percent into an improper fraction then to a mixed number, then we reduced.

 

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