Step 1 :To find the difference of \(\frac{5}{9}-\frac{4}{27}\), we need to find a common denominator for the two fractions.
Step 2 :The least common multiple (LCM) of the denominators 9 and 27 is 27.
Step 3 :Therefore, we need to multiply the numerator and denominator of the fraction \(\frac{5}{9}\) by 3 to get a denominator of 27.
Step 4 :Final Answer: The numerator and denominator of the fraction \(\frac{5}{9}\) should be multiplied by \(\boxed{3}\).