Percentage as a Fraction in Simplest Form

To convert a percentage into a fraction, you start by writing the percentage number over 100. For instance, if you have 25%, you can write it as:

25% = 25/100

Next, the key step is to simplify the fraction. This means finding the greatest common divisor (GCD) of both the numerator (the top number) and the denominator (the bottom number). In our example, 25 and 100 can both be divided by 25, which is their GCD:

25 ÷ 25 = 1

100 ÷ 25 = 4

So, the simplified fraction of 25% is:

25% = 1/4

In general, to convert a percentage into its simplest fraction form, follow these steps:

1. Write the percentage as a fraction over 100.
2. Simplify the fraction by dividing both the numerator and denominator by their GCD.

This method works for any percentage, so you can apply it universally!