Addition And Subtraction Of Fractions Worksheet - Free Printable

Problem: Adding and Subtracting Simple Fractions with the Same Denominator

The task involves solving 10 problems where fractions with the same denominator are either added or subtracted. The key rule is that when fractions have the same denominator, you can simply add or subtract the numerators while keeping the denominator unchanged.

#### Step-by-Step Solutions:

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1) $\frac{1}{5} + \frac{3}{5}$

- Both fractions have the same denominator (5).
- Add the numerators: $1 + 3 = 4$.
- Keep the denominator the same: $5$.
- Result: $\frac{4}{5}$.

Answer: $\frac{4}{5}$

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2) $\frac{4}{13} + \frac{7}{13}$

- Both fractions have the same denominator (13).
- Add the numerators: $4 + 7 = 11$.
- Keep the denominator the same: $13$.
- Result: $\frac{11}{13}$.

Answer: $\frac{11}{13}$

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3) $\frac{5}{11} + \frac{2}{11}$

- Both fractions have the same denominator (11).
- Add the numerators: $5 + 2 = 7$.
- Keep the denominator the same: $11$.
- Result: $\frac{7}{11}$.

Answer: $\frac{7}{11}$

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4) $\frac{3}{8} + \frac{2}{8}$

- Both fractions have the same denominator (8).
- Add the numerators: $3 + 2 = 5$.
- Keep the denominator the same: $8$.
- Result: $\frac{5}{8}$.

Answer: $\frac{5}{8}$

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5) $\frac{6}{14} + \frac{3}{14}$

- Both fractions have the same denominator (14).
- Add the numerators: $6 + 3 = 9$.
- Keep the denominator the same: $14$.
- Result: $\frac{9}{14}$.

Answer: $\frac{9}{14}$

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6) $\frac{5}{7} - \frac{1}{7}$

- Both fractions have the same denominator (7).
- Subtract the numerators: $5 - 1 = 4$.
- Keep the denominator the same: $7$.
- Result: $\frac{4}{7}$.

Answer: $\frac{4}{7}$

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7) $\frac{9}{12} - \frac{3}{12}$

- Both fractions have the same denominator (12).
- Subtract the numerators: $9 - 3 = 6$.
- Keep the denominator the same: $12$.
- Simplify the fraction: $\frac{6}{12} = \frac{1}{2}$.
- Result: $\frac{1}{2}$.

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

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8) $\frac{6}{8} - \frac{3}{8}$

- Both fractions have the same denominator (8).
- Subtract the numerators: $6 - 3 = 3$.
- Keep the denominator the same: $8$.
- Simplify the fraction: $\frac{3}{8}$ (already in simplest form).
- Result: $\frac{3}{8}$.

Answer: $\frac{3}{8}$

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9) $\frac{4}{19} - \frac{2}{19}$

- Both fractions have the same denominator (19).
- Subtract the numerators: $4 - 2 = 2$.
- Keep the denominator the same: $19$.
- Result: $\frac{2}{19}$.

Answer: $\frac{2}{19}$

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10) $\frac{8}{7} - \frac{3}{7}$

- Both fractions have the same denominator (7).
- Subtract the numerators: $8 - 3 = 5$.
- Keep the denominator the same: $7$.
- Result: $\frac{5}{7}$.

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

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Final Answers:

1. $\frac{4}{5}$
2. $\frac{11}{13}$
3. $\frac{7}{11}$
4. $\frac{5}{8}$
5. $\frac{9}{14}$
6. $\frac{4}{7}$
7. $\frac{1}{2}$
8. $\frac{3}{8}$
9. $\frac{2}{19}$
10. $\frac{5}{7}$

Boxed Final Answer:

$$
\boxed{\frac{4}{5}, \frac{11}{13}, \frac{7}{11}, \frac{5}{8}, \frac{9}{14}, \frac{4}{7}, \frac{1}{2}, \frac{3}{8}, \frac{2}{19}, \frac{5}{7}}
$$