Final answer:
To simplify the expression ((22)/(54)) / ((110)/(22s)), multiply the numerator and denominator of each fraction by the appropriate factors, then simplify each fraction separately to get the final expression.
Step-by-step explanation:
To simplify the expression ((22)/(54)) / ((110)/(22s)), we can multiply the numerator and denominator of the first fraction by (22s) and the numerator and denominator of the second fraction by 54. This gives us:
((22)/(54)) / ((110)/(22s)) = ((22)/(54)) * ((22s)/(110))
Next, we can simplify each fraction separately:
((22)/(54)) = 11/27
((22s)/(110)) = s/5
Therefore, the simplified expression is (11/27) * (s/5).