How do you write #4/20# as a percent?

2 Answers
Dec 7, 2017

See a solution process below:

Explanation:

"Percent" or "%" means "out of 100" or "per 100", Therefore x% can be written as #x/100#.

So we can write the equation and solve for #x# as:

#4/20 = x/100#

#4/20 xx color(red)(100) = x/100 xx color(red)(100)#

#400/20= x/color(red)(cancel(color(black)(100))) xx cancel(color(red)(100))#

#20 = x#

#x = 20#

#4/20 = 20/100 = 20%#

It's #20%#.

Explanation:

A percent is something out of #100#, so here's what you're going to do:

First: take the denominator #(20)# and multiply it by something that will give you a hundred, which is just #5#.

Second: you take that #5# and multiply it by your numerator #(4)#, which will just give you #20#.

Third: you got your answer of #20/100# or just #20%#.