AMC 8 1995 Problem 3

Which of the following operations has the same effect on a number as multiplying by $\dfrac{3}{4}$ and then dividing by $\dfrac{3}{5}$? $\text{(A)}\ \text{dividing by }\dfrac{4}{3} \text{(B)}\ \text{dividing by }\dfrac{9}{20} \text{(C)}\ \text{multiplying by }\dfrac{9}{20} \text{(D)}\ \text{dividing by }\dfrac{5}{4} \text{(E)}\ \text{multiplying by }\dfrac{5}{4}$