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!

Learn how to simplify the expression \(\frac{9}{6} - \frac{6}{9}\) step-by-step. Understand the process of finding a common denominator, simplifying fractions, and subtracting fractions. Suitable for students in Grades 5-7.

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