Question

How do you reduce `24/216`?

Answer 1

`24/216=1/9`

Explanation:

To reduce any faction such as `24/216` one needs to

(i) either factorize each of the numerator and denominator and then cancel out common factors (similar to dividing). Using this

`24/216=(2xx2xx2xx3)/(2xx2xx2xx3xx3xx3)`

= `(1cancel2xxcancel2xxcancel2xxcancel3)/(cancel2xxcancel2xxcancel2xxcancel3xx3xx3)`

= `1/9`

(ii) Alternatively one can find GCD of numerator and denominator and then divide both by it. Here as `24` easily divides `216` (`9` times), `24` is GCD and result will be again `1/9`.