To simplify the expression \( 3 \frac{1}{3} - 1 \frac{1}{4} \times \frac{2}{3} + 1 \frac{2}{5} \), follow these steps:

1. Convert mixed numbers to improper fractions:

- \( 3 \frac{1}{3} \):
\[
3 \frac{1}{3} = \frac{3 \times 3 + 1}{3} = \frac{10}{3}
\]

- \( 1 \frac{1}{4} \):
\[
1 \frac{1}{4} = \frac{1 \times 4 + 1}{4} = \frac{5}{4}
\]

- \( 1 \frac{2}{5} \):
\[
1 \frac{2}{5} = \frac{1 \times 5 + 2}{5} = \frac{7}{5}
\]

2. Perform the multiplication:

Multiply \( 1 \frac{1}{4} \times \frac{2}{3} \):
\[
\frac{5}{4} \times \frac{2}{3} = \frac{5 \times 2}{4 \times 3} = \frac{10}{12} = \frac{5}{6}
\]

3. Substitute back into the expression:

The expression becomes:
\[
\frac{10}{3} - \frac{5}{6} + \frac{7}{5}
\]

4. Find a common denominator for the fractions:

The least common multiple of 3, 6, and 5 is 30.

- Convert \( \frac{10}{3} \):
\[
\frac{10}{3} = \frac{10 \times 10}{3 \times 10} = \frac{100}{30}
\]

- Convert \( \frac{5}{6} \):
\[
\frac{5}{6} = \frac{5 \times 5}{6 \times 5} = \frac{25}{30}
\]

- Convert \( \frac{7}{5} \):
\[
\frac{7}{5} = \frac{7 \times 6}{5 \times 6} = \frac{42}{30}
\]

5. Combine the fractions:

\[
\frac{100}{30} - \frac{25}{30} + \frac{42}{30} = \frac{100 - 25 + 42}{30} = \frac{117}{30} = 3 \frac{27}{30}
\]

Simplify \( \frac{27}{30} \):
\[
\frac{27}{30} = \frac{9}{10}
\]

So:
\[
3 \frac{9}{10} = 3.9
\]

Thus, the closest answer is:

C. 4