Find the product: $1.5\times 3\frac{1}{3}\times \frac{2}{5}$

The correct option is 2.0.

To find the product of the given expression, we evaluate each term step-by-step:

$1.5\times 3\frac{1}{3}\times \frac{2}{5}$

Step 1: Convert the decimal and mixed fraction into improper fractions.
First, write the decimal 1.5 as a fraction:
$1.5=\frac{15}{10}=\frac{3}{2}$

Next, convert the mixed number 3¹/₃ into an improper fraction:
$3\frac{1}{3}=\frac{3\times 3+1}{3}=\frac{10}{3}$

Step 2: Multiply the fractions together.
Substitute the converted fractions back into the original expression:

$\frac{3}{2}\times \frac{10}{3}\times \frac{2}{5}$

Step 3: Simplify by canceling out common terms.
Multiply the numerators together and the denominators together:

$\frac{3\times 10\times 2}{2\times 3\times 5}$

Notice that the common factors 3 and 2 appear in both the numerator and the denominator, so they cancel out:
$\frac{10}{5}=2$

In decimal form, 2 is equal to 2.0.