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The given expression is:

\[
\frac{4}{3} \times \frac{4}{5}
\]

To multiply two fractions, we simply multiply the numerators (the top numbers) and the denominators (the bottom numbers).

\[
\frac{4}{3} \times \frac{4}{5} = \frac{4 \times 4}{3 \times 5} = \frac{16}{15}
\]

Thus, the value of the expression is:

\[
\frac{16}{15}
\]

Would you like further details or have any questions?

Here are 5 related questions to explore further:
1. What is the process for simplifying fractions after multiplication?
2. How do you convert an improper fraction into a mixed number?
3. Can this multiplication be visualized using a grid or area model?
4. How do you multiply more than two fractions?
5. What is the significance of multiplying reciprocals?

**Tip:** When multiplying fractions, it's helpful to simplify the fractions first if possible, but it's not necessary in this case as no common factors exist between the numerators and denominators.

What is the value of the expression 4/3 × 4/5?

Learn how to multiply fractions by solving the problem 4/3 × 4/5. This guide explains the steps to multiply the numerators and denominators and simplifies the resulting fraction. Suitable for Grade 6 students.

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