Let's solve the problems from the worksheet one by one:

Similar Fractions

4.

• Addition: $\frac{3}{5} + \frac{1}{5} = \frac{3 + 1}{5} = \frac{4}{5}$
• Subtraction: $\frac{4}{6} - \frac{1}{6} = \frac{4 - 1}{6} = \frac{3}{6} = \frac{1}{2}$

5.

• Addition: $\frac{6}{20} + \frac{4}{20} = \frac{6 + 4}{20} = \frac{10}{20} = \frac{1}{2}$
• Subtraction: $\frac{20}{9} - \frac{2}{9} = \frac{20 - 2}{9} = \frac{18}{9} = 2$

6.

• Addition: $\frac{9}{22} + \frac{2}{22} = \frac{9 + 2}{22} = \frac{11}{22} = \frac{1}{2}$
• Subtraction: $\frac{48}{56} - \frac{44}{56} = \frac{48 - 44}{56} = \frac{4}{56} = \frac{1}{14}$

Dissimilar Fractions

4.

• Addition: $\frac{2}{2} + \frac{4}{3}$
  • Convert to a common denominator: $\frac{2}{2} = \frac{6}{6}, \quad \frac{4}{3} = \frac{8}{6}$
  • Now add: $\frac{6}{6} + \frac{8}{6} = \frac{14}{6} = \frac{7}{3}$
• Subtraction: $\frac{4}{2} - \frac{2}{3}$
  • Convert to a common denominator: $\frac{4}{2} = \frac{12}{6}, \quad \frac{2}{3} = \frac{4}{6}$
  • Now subtract: $\frac{12}{6} - \frac{4}{6} = \frac{8}{6} = \frac{4}{3}$

5.

• Addition: $\frac{2}{7} + \frac{6}{14}$
  • Convert to a common denominator: $\frac{6}{14} = \frac{3}{7}$
  • Now add: $\frac{2}{7} + \frac{3}{7} = \frac{5}{7}$
• Subtraction: $\frac{11}{24} - \frac{5}{12}$
  • Convert to a common denominator: $\frac{5}{12} = \frac{10}{24}$
  • Now subtract: $\frac{11}{24} - \frac{10}{24} = \frac{1}{24}$

6.

• Addition: $\frac{4}{10} + \frac{1}{2}$
  • Convert to a common denominator: $\frac{1}{2} = \frac{5}{10}$
  • Now add: $\frac{4}{10} + \frac{5}{10} = \frac{9}{10}$
• Subtraction: $\frac{4}{42} - \frac{1}{14}$
  • Convert to a common denominator: $\frac{1}{14} = \frac{3}{42}$
  • Now subtract: $\frac{4}{42} - \frac{3}{42} = \frac{1}{42}$

Would you like more details on any specific step? Let me know if you have any questions.

Here are 5 related questions for you:

1. How do you add and subtract mixed fractions?
2. What is the process to convert improper fractions to mixed numbers?
3. How do you simplify fractions?
4. What is the Least Common Denominator (LCD) and why is it useful in adding/subtracting fractions?
5. How do you handle fraction multiplication and division?

Tip: Always simplify fractions to their lowest terms to make calculations easier and results more readable.