Determine the value of $3\frac{2}{5}÷0.8$.

The correct option is 4.25.

To solve the expression $3\frac{2}{5}÷0.8$, let us break it down into simple mathematical steps.

Step 1: Convert the mixed fraction into an improper fraction.
The given mixed fraction is $3\frac{2}{5}$.
$3\frac{2}{5}=\frac{3\times 5+2}{5}=\frac{15+2}{5}=\frac{17}{5}$

Step 2: Convert the decimal into a fraction or convert the fraction into a decimal.
Let us convert $\frac{17}{5}$ to a decimal:
$\frac{17}{5}=3.4$

Alternatively, as fractions:
$0.8=\frac{8}{10}=\frac{4}{5}$

Step 3: Perform the division.
Using decimals:
$3.4÷0.8=\frac{3.4}{0.8}=\frac{34}{8}$

Simplifying the fraction:
$\frac{34}{8}=\frac{17}{4}=4.25$

Thus, the value of $3\frac{2}{5}÷0.8$ is 4.25.