Subtract mixed numbers with like denominators, no regrouping.

To subtract mixed numbers with like denominators and no regrouping, we handle the whole numbers and the fractions separately.

Step 1: Subtract the whole numbers.
Step 2: Subtract the numerators of the fractions (keep the denominator the same).
Step 3: Combine the results. If the resulting fraction can be simplified, simplify it.

Let's solve each problem:

1. $9 \frac{6}{9} - 1 \frac{5}{9}$
* Whole numbers: $9 - 1 = 8$
* Fractions: $\frac{6}{9} - \frac{5}{9} = \frac{1}{9}$
* Result: $8 \frac{1}{9}$

2. $5 \frac{3}{6} - 4 \frac{2}{6}$
* Whole numbers: $5 - 4 = 1$
* Fractions: $\frac{3}{6} - \frac{2}{6} = \frac{1}{6}$
* Result: $1 \frac{1}{6}$

3. $6 \frac{2}{3} - 4 \frac{2}{3}$
* Whole numbers: $6 - 4 = 2$
* Fractions: $\frac{2}{3} - \frac{2}{3} = 0$
* Result: $2$

4. $8 \frac{3}{6} - 3 \frac{2}{6}$
* Whole numbers: $8 - 3 = 5$
* Fractions: $\frac{3}{6} - \frac{2}{6} = \frac{1}{6}$
* Result: $5 \frac{1}{6}$

5. $5 \frac{7}{12} - 4 \frac{2}{12}$
* Whole numbers: $5 - 4 = 1$
* Fractions: $\frac{7}{12} - \frac{2}{12} = \frac{5}{12}$
* Result: $1 \frac{5}{12}$

6. $5 \frac{5}{6} - 3 \frac{4}{6}$
* Whole numbers: $5 - 3 = 2$
* Fractions: $\frac{5}{6} - \frac{4}{6} = \frac{1}{6}$
* Result: $2 \frac{1}{6}$

7. $8 \frac{5}{6} - 2 \frac{2}{6}$
* Whole numbers: $8 - 2 = 6$
* Fractions: $\frac{5}{6} - \frac{2}{6} = \frac{3}{6}$
* Simplify fraction: $\frac{3}{6}$ simplifies to $\frac{1}{2}$ (divide top and bottom by 3).
* Result: $6 \frac{1}{2}$

8. $9 \frac{1}{2} - 4 \frac{1}{2}$
* Whole numbers: $9 - 4 = 5$
* Fractions: $\frac{1}{2} - \frac{1}{2} = 0$
* Result: $5$

Final Answer:
$9 \frac{6}{9} - 1 \frac{5}{9} = 8 \frac{1}{9}$
$5 \frac{3}{6} - 4 \frac{2}{6} = 1 \frac{1}{6}$
$6 \frac{2}{3} - 4 \frac{2}{3} = 2$
$8 \frac{3}{6} - 3 \frac{2}{6} = 5 \frac{1}{6}$
$5 \frac{7}{12} - 4 \frac{2}{12} = 1 \frac{5}{12}$
$5 \frac{5}{6} - 3 \frac{4}{6} = 2 \frac{1}{6}$
$8 \frac{5}{6} - 2 \frac{2}{6} = 6 \frac{1}{2}$
$9 \frac{1}{2} - 4 \frac{1}{2} = 5$