Let's simplify the expression:

\[
\frac{8}{6} - \frac{5}{9}
\]

### Step 1: Simplify each fraction (if possible)
Simplify \(\frac{8}{6}\):

\[
\frac{8}{6} = \frac{4 \times 2}{3 \times 2} = \frac{4}{3}
\]

The fraction \(\frac{5}{9}\) is already in its simplest form.

So, the expression becomes:

\[
\frac{4}{3} - \frac{5}{9}
\]

### Step 2: Find a common denominator
The least common denominator (LCD) of 3 and 9 is 9.

Convert \(\frac{4}{3}\) to a fraction with a denominator of 9:

\[
\frac{4}{3} = \frac{4 \times 3}{3 \times 3} = \frac{12}{9}
\]

So the expression now is:

\[
\frac{12}{9} - \frac{5}{9}
\]

### Step 3: Subtract the fractions

\[
\frac{12}{9} - \frac{5}{9} = \frac{12 - 5}{9} = \frac{7}{9}
\]

### Final Answer:
The simplified result is:

\[
\frac{7}{9}
\]

Would you like more details or have any questions?

Here are 8 related questions:
1. How do you subtract fractions with the same denominator?
2. What is the decimal equivalent of \(\frac{7}{9}\)?
3. How do you convert an improper fraction to a mixed number?
4. What is the least common denominator and why is it important?
5. How would you add \(\frac{8}{6}\) and \(\frac{5}{9}\) instead of subtracting them?
6. What happens if the fractions were reversed: \(\frac{5}{9} - \frac{4}{3}\)?
7. How can you simplify fractions before performing operations?
8. What is the result of multiplying \(\frac{8}{6}\) by \(\frac{5}{9}\)?

**Tip:** When subtracting fractions, ensure the denominators are the same before performing the subtraction!

Learn how to simplify and subtract fractions step-by-step with a detailed explanation. This problem involves fractions with different denominators, requiring conversion to a common denominator and subtraction. Suitable for students in Grades 6-8.

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