Fraction addition practice worksheet with problems and answer boxes.

To solve the given problems, we need to add fractions. The key steps involve:

1. Finding a Common Denominator: If the denominators are different, we need to find a common denominator so that we can add the fractions.
2. Adding the Numerators: Once the denominators are the same, we add the numerators and keep the denominator the same.
3. Simplifying the Result: After adding, we simplify the resulting fraction if possible.

Let's solve each problem step by step.

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1. $\frac{1}{6} + \frac{2}{6}$

- The denominators are already the same (6).
- Add the numerators: $1 + 2 = 3$.
- The result is $\frac{3}{6}$.
- Simplify $\frac{3}{6}$ by dividing both numerator and denominator by their greatest common divisor (GCD), which is 3:
$$
\frac{3}{6} = \frac{1}{2}
$$

Answer: $\frac{1}{2}$

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2. $\frac{2}{8} + \frac{6}{8}$

- The denominators are already the same (8).
- Add the numerators: $2 + 6 = 8$.
- The result is $\frac{8}{8}$.
- Simplify $\frac{8}{8}$:
$$
\frac{8}{8} = 1
$$

Answer: $1$

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3. $\frac{4}{10} + \frac{10}{10}$

- The denominators are already the same (10).
- Add the numerators: $4 + 10 = 14$.
- The result is $\frac{14}{10}$.
- Simplify $\frac{14}{10}$ by dividing both numerator and denominator by their GCD, which is 2:
$$
\frac{14}{10} = \frac{7}{5}
$$

Answer: $\frac{7}{5}$

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4. $\frac{1}{4} + \frac{1}{4}$

- The denominators are already the same (4).
- Add the numerators: $1 + 1 = 2$.
- The result is $\frac{2}{4}$.
- Simplify $\frac{2}{4}$ by dividing both numerator and denominator by their GCD, which is 2:
$$
\frac{2}{4} = \frac{1}{2}
$$

Answer: $\frac{1}{2}$

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5. $\frac{3}{9} + \frac{3}{9}$

- The denominators are already the same (9).
- Add the numerators: $3 + 3 = 6$.
- The result is $\frac{6}{9}$.
- Simplify $\frac{6}{9}$ by dividing both numerator and denominator by their GCD, which is 3:
$$
\frac{6}{9} = \frac{2}{3}
$$

Answer: $\frac{2}{3}$

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6. $\frac{2}{6} + \frac{2}{6}$

- The denominators are already the same (6).
- Add the numerators: $2 + 2 = 4$.
- The result is $\frac{4}{6}$.
- Simplify $\frac{4}{6}$ by dividing both numerator and denominator by their GCD, which is 2:
$$
\frac{4}{6} = \frac{2}{3}
$$

Answer: $\frac{2}{3}$

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7. $\frac{1}{8} + \frac{3}{8}$

- The denominators are already the same (8).
- Add the numerators: $1 + 3 = 4$.
- The result is $\frac{4}{8}$.
- Simplify $\frac{4}{8}$ by dividing both numerator and denominator by their GCD, which is 4:
$$
\frac{4}{8} = \frac{1}{2}
$$

Answer: $\frac{1}{2}$

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Final Answers:

$$
\boxed{\frac{1}{2}, 1, \frac{7}{5}, \frac{1}{2}, \frac{2}{3}, \frac{2}{3}, \frac{1}{2}}
$$