Let's simplify the expression:

$\frac{9}{6} - \frac{6}{9}$

First, simplify each fraction:

$\frac{9}{6} = \frac{3 \times 3}{3 \times 2} = \frac{3}{2}$

$\frac{6}{9} = \frac{2 \times 3}{3 \times 3} = \frac{2}{3}$

Now, subtract the two fractions:

$\frac{3}{2} - \frac{2}{3}$

To subtract these fractions, find a common denominator. The least common denominator (LCD) of 2 and 3 is 6.

$\frac{3}{2} = \frac{3 \times 3}{2 \times 3} = \frac{9}{6}$

$\frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6}$

Now, subtract the fractions:

$\frac{9}{6} - \frac{4}{6} = \frac{5}{6}$

So, the final simplified result is:

$\frac{5}{6}$

Would you like more details or have any questions?

Here are 8 related questions:

1. How do you find the least common denominator for two fractions?
2. Can you explain the process of simplifying fractions?
3. What is the result of $\frac{5}{6}$ as a decimal?
4. How do you add fractions with different denominators?
5. What is the difference between simplifying and reducing fractions?
6. How would the process change if you were adding $\frac{3}{2}$ and $\frac{2}{3}$?
7. What happens if the fractions were subtracted in reverse order: $\frac{2}{3} - \frac{3}{2}$?
8. How do you multiply and divide fractions?

Tip: When working with fractions, always check if you can simplify them to make calculations easier!