Question

(100/x)/100 = 1/x

but the question is HOW

how does this work algebraically?

Answer 1

Explanation:

Use KCF for fraction division

Keep the first fraction.

Change division to multiplication

Flip the second fraction.

`(100)/(x)` ÷ x =
`(100)/(x)*(1)/(100) = (1)/(x)`

Answer 2

1/x

Explanation:

(100/x)/100

100/x ÷ 100

Copy dot flip

100/x * 1/100

Rewriting

100/100 * 1/x

1 * 1/x

1/x