How do you convert 87.5% as a fraction and a decimal?

There is a very simple trick to converting percentages to decimals and fractions.

When you are given a ##%##, like ##87.5%##, all you have to do is move the decimal point over to the left two spaces to get the decimal form of it. So, ##87.5%## is converting into ##.875##.

To change a ##%## into a decimal, think about ##87.5%## like a grade on a test. Tests are usually out of 100 point, and scoring an ##87.5%## on one means you got ##87.5## points out of ##100##.

So, converting that into a fraction, you get:

##87.5/100##

And since you don’t want decimals in your fractions, you can change that to:

##875/1000##

Now, simply reduce the fraction by dividing both the numerator and the denominator by 5:

##(875 -: 5)/(1000 -: 5)## = ##175/200##

##(175 -: 5)/(200 -: 5)## = ##35/40##

##(35 -: 5)/(40 -: 5)## = ##7/8##

Hope that helped!