Let's solve the fractions step by step for each problem in the image. Here are the answers and explanations:

1) $\frac{4}{10} + \frac{1}{3}$

• Find a common denominator: $\text{LCM of } 10 \text{ and } 3 = 30$.
• Convert fractions:
  $\frac{4}{10} = \frac{12}{30}$, $\frac{1}{3} = \frac{10}{30}$.
• Add:
  $\frac{12}{30} + \frac{10}{30} = \frac{22}{30} = \frac{11}{15}$ (simplified).

2) $\frac{2}{4} + \frac{1}{3}$

• Simplify $\frac{2}{4} = \frac{1}{2}$.