The problem in the image asks to subtract two mixed numbers:

$5 \frac{5}{6} - 4 \frac{2}{3}$

Steps to solve:

1. Convert mixed numbers to improper fractions:

   • $5 \frac{5}{6}$ = $\frac{6 \times 5 + 5}{6} = \frac{30 + 5}{6} = \frac{35}{6}$
   • $4 \frac{2}{3}$ = $\frac{3 \times 4 + 2}{3} = \frac{12 + 2}{3} = \frac{14}{3}$

2. Find a common denominator:

   • The least common denominator (LCD) of 6 and 3 is 6.
   • Rewrite $\frac{14}{3}$ with a denominator of 6:
     $\frac{14}{3} = \frac{14 \times 2}{3 \times 2} = \frac{28}{6}$

3. Subtract the fractions: $\frac{35}{6} - \frac{28}{6} = \frac{35 - 28}{6} = \frac{7}{6}$

4. Convert the improper fraction back to a mixed number: $\frac{7}{6} = 1 \frac{1}{6}$

Final Answer:

$1 \frac{1}{6}$

Let me know if you need further clarification, and here are five questions to expand on the topic:

1. How do you subtract mixed numbers with different denominators?
2. Can you convert improper fractions to mixed numbers without finding the LCD?
3. What other methods can be used to subtract fractions?
4. How do you simplify fractions after performing operations on them?
5. What happens if the result of subtraction is negative in terms of fractions?

Tip: Always check if you can simplify fractions after performing arithmetic operations!