Question

How do you compare `22/30, 33/40`?

Answer 1

We convert to common denominators.

Explanation:

Usually we first calculate the LCM by factorization, but here it's easy to see that `120` will do:

`22/30xx4/4=(22xx4)/(30xx4)=88/120`

`33/40xx3/3=(33xx3)/(40xx3)=99/120`