The expression you provided is:

\[
6 \times 0.75 \times \frac{2}{5}
\]

First, let's simplify step by step:

1. Multiply \( 6 \times 0.75 = 4.5 \).
2. Now, multiply \( 4.5 \times \frac{2}{5} \).

To multiply \( 4.5 \) by \( \frac{2}{5} \), think of it as:

\[
4.5 \times \frac{2}{5} = \frac{4.5 \times 2}{5} = \frac{9}{5}
\]

Finally, divide:

\[
\frac{9}{5} = 1.8
\]

So, the result is:

\[
1.8
\]

Would you like any more details or have further questions?

Here are 5 related questions for practice:

1. What is \( 5 \times 0.6 \times \frac{3}{4} \)?
2. How do you simplify \( 7 \times 0.5 \times \frac{4}{9} \)?
3. What is \( 12 \times 0.25 \times \frac{5}{8} \)?
4. Solve \( 10 \times 0.4 \times \frac{6}{7} \).
5. How would you simplify \( 8 \times 0.3 \times \frac{9}{10} \)?

**Tip:** When multiplying fractions and decimals, it’s often easiest to first simplify the decimal and then treat it as a fraction.

Learn how to simplify and solve the multiplication expression 6 × 0.75 × 2/5. This step-by-step solution covers multiplication of decimals and fractions. Suitable for students in Grades 6-8.

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