why does 100/100 = 1

100/100 is also 1/1 and 1/1 = 1

Because after simplifying 100/100 (ahem divide the denominator and the numerator with 100) You get 1/1. Basically, 100 / 100 = 1.

any number divided by itself is 1, other than 0/0

To understand why 100 divided by 100 equals 1, let's break it down step by step.

When you divide one number by another, you are essentially asking, "How many times does the second number fit into the first number?"

In this case, we have 100 as the numerator (dividend) and 100 as the denominator (divisor). When we divide 100 by 100, we are asking how many times does 100 fit into 100.

Since both the numerator and denominator are the same value (100), it means that 100 fits into 100 exactly one time. In other words, you can divide a whole into parts equal to its size exactly once.

Therefore, the result of 100 divided by 100 is 1.