Fraction addition worksheet with problems involving like denominators.

This worksheet contains 14 problems involving the addition of fractions with like denominators (same denominator). The rule for adding fractions with like denominators is simple:

> Add the numerators. Keep the denominator the same. Then simplify if possible.

Let’s solve each problem step by step.

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Left Column:

#### 1. $\frac{5}{11} + \frac{5}{11} = \frac{5+5}{11} = \frac{10}{11}$
→ Already simplified. ✔

#### 2. $\frac{7}{14} + \frac{2}{14} = \frac{7+2}{14} = \frac{9}{14}$
→ 9 and 14 have no common factors → simplified. ✔

#### 3. $\frac{10}{20} + \frac{5}{20} = \frac{15}{20}$
→ Simplify: divide numerator and denominator by 5 → $\frac{3}{4}$ ✔

#### 4. $\frac{2}{12} + \frac{3}{12} = \frac{5}{12}$
→ 5 and 12 have no common factors → simplified. ✔

#### 5. $\frac{4}{14} + \frac{4}{14} = \frac{8}{14}$
→ Simplify: divide by 2 → $\frac{4}{7}$ ✔

#### 6. $\frac{7}{17} + \frac{9}{17} = \frac{16}{17}$
→ Already simplified. ✔

#### 7. $\frac{15}{26} + \frac{9}{26} = \frac{24}{26}$
→ Simplify: divide by 2 → $\frac{12}{13}$ ✔

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Right Column:

#### 8. $\frac{7}{10} + \frac{1}{10} = \frac{8}{10}$
→ Simplify: divide by 2 → $\frac{4}{5}$ ✔

#### 9. $\frac{7}{19} + \frac{6}{19} = \frac{13}{19}$
→ Already simplified. ✔

#### 10. $\frac{13}{25} + \frac{5}{25} = \frac{18}{25}$
→ 18 and 25 have no common factors → simplified. ✔

#### 11. $\frac{9}{22} + \frac{9}{22} = \frac{18}{22}$
→ Simplify: divide by 2 → $\frac{9}{11}$ ✔

#### 12. $\frac{14}{18} + \frac{1}{18} = \frac{15}{18}$
→ Simplify: divide by 3 → $\frac{5}{6}$ ✔

#### 13. $\frac{7}{31} + \frac{9}{31} = \frac{16}{31}$
→ Already simplified. ✔

#### 14. $\frac{5}{29} + \frac{16}{29} = \frac{21}{29}$
→ 21 and 29 have no common factors → simplified. ✔

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## ✔ Final Answers:

Left Column:

1. $\frac{10}{11}$
2. $\frac{9}{14}$
3. $\frac{3}{4}$
4. $\frac{5}{12}$
5. $\frac{4}{7}$
6. $\frac{16}{17}$
7. $\frac{12}{13}$

Right Column:

8. $\frac{4}{5}$
9. $\frac{13}{19}$
10. $\frac{18}{25}$
11. $\frac{9}{11}$
12. $\frac{5}{6}$
13. $\frac{16}{31}$
14. $\frac{21}{29}$

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## 📝 Summary of Steps:
- Step 1: Add numerators.
- Step 2: Keep the same denominator.
- Step 3: Simplify the fraction by dividing numerator and denominator by their greatest common divisor (GCD).

This worksheet reinforces basic fraction addition and simplification — great for grade 4–6 math practice!

Let me know if you’d like a printable version or more practice problems!