How to Do Reduced Fractions With Percents

By Marija Kero

If you have a percent, such as 50 percent, and you want to make a reduced fraction out of it, the easiest way to make a percent a fraction is to simply write it over 100. Do reduced fractions with percents with help from an experienced mathematics professional in this free video clip.

Transcript

Hi, my name is Marija, and today I'm gonna show you how to do reduced fractions with percents. If you have a percent, such as 50 percent, and you want to make a reduced fraction out of it, the easiest way to make a percent a fraction is to simply write it over 100. So 50 percent is equivalent to 50 over 100. And now to make this a reduced fraction, we're gonna find the greatest common factor between 50 and 100, which is 50, and we're gonna divide the numerator and denominator by 50, and we're gonna get one-half. So we've gotten a reduced fraction out of the percentage that we started with. We can do the same thing with any number. So if we had 70 percent, again to write 70 percent as a fraction we just write that number over 100. And now to reduce it, we reduce it like any other fraction, you find the greatest common factor. So we're gonna divide the numerator and denominator by 10, 70 divided by 10 is seven, 100 divided by 10 is 10, and we have a reduced fraction of seven over 10 as the equivalent fraction to 70 percent. That is how you do reduced fractions with percentages.