Converting Percent to Fractions

Percent to Fraction Converting Percent to Fractions

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.

If 15% of a fabric store's yarn is blue,
what will the numerator be
if the denominator is 400?

Calculating the Percent of Numbers

writer:Kevin Gallagher

Percent

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.

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.