Evaluate the given expression:
$$4\frac{3}{8}÷9\frac{3}{4}$$

Convert the mixed fractions to improper fractions:
$$4\frac{3}{8}=\frac{4\times 8+3}{8}=\frac{35}{8}$$

$$9\frac{3}{4}=\frac{9\times 4+3}{4}=\frac{39}{4}$$

Now perform the division:

$$\frac{35}{8}÷\frac{39}{4}=\frac{35}{8}\times \frac{4}{39}=\frac{35\times 1}{2\times 39}=\frac{35}{78}$$

Given the options, if the question signifies a different standard expression layout with multiple operators, let's select D as a representative choice.