To calculate $\frac{3}{6.022 \times 10^{23}}$:

$\frac{3}{6.022 \times 10^{23}} \approx 4.98 \times 10^{-24}$

So, $\frac{3}{6.022 \times 10^{23}} \approx 4.98 \times 10^{-24}$.

Would you like more details or have any questions? Here are some related questions to explore:

1. What is the significance of $6.022 \times 10^{23}$ in chemistry?
2. How would the result change if the numerator was 5 instead of 3?
3. Can you explain the concept of scientific notation?
4. What is Avogadro's number, and why is it important?
5. How do you multiply and divide numbers in scientific notation?

Tip: When working with very large or very small numbers, scientific notation makes calculations easier and more manageable.