Grade 4 Fractions Worksheets | Worsheets library - Free Printable

Problem Description:

The task involves solving a series of fraction addition problems where the denominators are the same (like denominators). When adding fractions with like denominators, you simply add the numerators and keep the denominator unchanged.

Solution:

#### Step-by-Step Explanation:
1. General Rule for Adding Fractions with Like Denominators:
- If the fractions have the same denominator, you add the numerators and keep the denominator the same.
- Formula:
\[
\frac{a}{b} + \frac{c}{b} = \frac{a + c}{b}
\]

2. Solve Each Problem:
Let's solve each problem step by step.

---

#### Problem 1: $\frac{7}{11} + \frac{2}{11}$
- Numerators: $7 + 2 = 9$
- Denominator: $11$
- Result: $\frac{9}{11}$

#### Problem 2: $\frac{3}{7} + \frac{2}{7}$
- Numerators: $3 + 2 = 5$
- Denominator: $7$
- Result: $\frac{5}{7}$

#### Problem 3: $\frac{2}{9} + \frac{3}{9}$
- Numerators: $2 + 3 = 5$
- Denominator: $9$
- Result: $\frac{5}{9}$

#### Problem 4: $\frac{2}{7} + \frac{6}{7}$
- Numerators: $2 + 6 = 8$
- Denominator: $7$
- Result: $\frac{8}{7}$ (This is an improper fraction)

#### Problem 5: $\frac{19}{20} + \frac{19}{20}$
- Numerators: $19 + 19 = 38$
- Denominator: $20$
- Result: $\frac{38}{20}$ (This can be simplified to $\frac{19}{10}$)

#### Problem 6: $\frac{24}{25} + \frac{20}{25}$
- Numerators: $24 + 20 = 44$
- Denominator: $25$
- Result: $\frac{44}{25}$

#### Problem 7: $\frac{1}{4} + \frac{1}{4}$
- Numerators: $1 + 1 = 2$
- Denominator: $4$
- Result: $\frac{2}{4}$ (This can be simplified to $\frac{1}{2}$)

#### Problem 8: $\frac{9}{100} + \frac{9}{100}$
- Numerators: $9 + 9 = 18$
- Denominator: $100$
- Result: $\frac{18}{100}$ (This can be simplified to $\frac{9}{50}$)

#### Problem 9: $\frac{5}{8} + \frac{7}{8}$
- Numerators: $5 + 7 = 12$
- Denominator: $8$
- Result: $\frac{12}{8}$ (This can be simplified to $\frac{3}{2}$)

#### Problem 10: $\frac{11}{12} + \frac{11}{12}$
- Numerators: $11 + 11 = 22$
- Denominator: $12$
- Result: $\frac{22}{12}$ (This can be simplified to $\frac{11}{6}$)

#### Problem 11: $\frac{5}{6} + \frac{5}{6}$
- Numerators: $5 + 5 = 10$
- Denominator: $6$
- Result: $\frac{10}{6}$ (This can be simplified to $\frac{5}{3}$)

#### Problem 12: $\frac{1}{2} + \frac{1}{2}$
- Numerators: $1 + 1 = 2$
- Denominator: $2$
- Result: $\frac{2}{2}$ (This simplifies to $1$)

#### Problem 13: $\frac{2}{15} + \frac{3}{15}$
- Numerators: $2 + 3 = 5$
- Denominator: $15$
- Result: $\frac{5}{15}$ (This can be simplified to $\frac{1}{3}$)

#### Problem 14: $\frac{4}{14} + \frac{6}{14}$
- Numerators: $4 + 6 = 10$
- Denominator: $14$
- Result: $\frac{10}{14}$ (This can be simplified to $\frac{5}{7}$)

#### Problem 15: $\frac{11}{13} + \frac{12}{13}$
- Numerators: $11 + 12 = 23$
- Denominator: $13$
- Result: $\frac{23}{13}$

#### Problem 16: $\frac{3}{5} + \frac{4}{5}$
- Numerators: $3 + 4 = 7$
- Denominator: $5$
- Result: $\frac{7}{5}$

#### Problem 17: $\frac{7}{11} + \frac{5}{11}$
- Numerators: $7 + 5 = 12$
- Denominator: $11$
- Result: $\frac{12}{11}$

#### Problem 18: $\frac{1}{3} + \frac{1}{3}$
- Numerators: $1 + 1 = 2$
- Denominator: $3$
- Result: $\frac{2}{3}$

#### Problem 19: $\frac{2}{16} + \frac{13}{16}$
- Numerators: $2 + 13 = 15$
- Denominator: $16$
- Result: $\frac{15}{16}$

#### Problem 20: $\frac{8}{10} + \frac{5}{10}$
- Numerators: $8 + 5 = 13$
- Denominator: $10$
- Result: $\frac{13}{10}$

#### Problem 21: $\frac{6}{50} + \frac{15}{50}$
- Numerators: $6 + 15 = 21$
- Denominator: $50$
- Result: $\frac{21}{50}$

---

Final Answers:

\[
\boxed{
\begin{array}{lll}
1. & \frac{9}{11} & 2. & \frac{5}{7} & 3. & \frac{5}{9} \\
4. & \frac{8}{7} & 5. & \frac{38}{20} & 6. & \frac{44}{25} \\
7. & \frac{1}{2} & 8. & \frac{9}{50} & 9. & \frac{3}{2} \\
10. & \frac{11}{6} & 11. & \frac{5}{3} & 12. & 1 \\
13. & \frac{1}{3} & 14. & \frac{5}{7} & 15. & \frac{23}{13} \\
16. & \frac{7}{5} & 17. & \frac{12}{11} & 18. & \frac{2}{3} \\
19. & \frac{15}{16} & 20. & \frac{13}{10} & 21. & \frac{21}{50} \\
\end{array}
}
\]