Let's solve each of these fraction addition problems step by step. All the fractions in this worksheet have
the same denominator, so we can simply
add the numerators and keep the denominator the same.
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1. $\frac{5}{11} + \frac{5}{11}$
Add numerators: $5 + 5 = 10$
Answer: $\frac{10}{11}$
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2. $\frac{7}{10} + \frac{1}{10}$
Add numerators: $7 + 1 = 8$
Answer: $\frac{8}{10}$ → Simplify: $\frac{4}{5}$
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3. $\frac{7}{14} + \frac{2}{14}$
Add numerators: $7 + 2 = 9$
Answer: $\frac{9}{14}$
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4. $\frac{7}{19} + \frac{6}{19}$
Add numerators: $7 + 6 = 13$
Answer: $\frac{13}{19}$
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5. $\frac{10}{20} + \frac{5}{20}$
Add numerators: $10 + 5 = 15$
Answer: $\frac{15}{20}$ → Simplify: $\frac{3}{4}$
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6. $\frac{13}{25} + \frac{5}{25}$
Add numerators: $13 + 5 = 18$
Answer: $\frac{18}{25}$
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7. $\frac{2}{12} + \frac{3}{12}$
Add numerators: $2 + 3 = 5$
Answer: $\frac{5}{12}$
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8. $\frac{9}{22} + \frac{9}{22}$
Add numerators: $9 + 9 = 18$
Answer: $\frac{18}{22}$ → Simplify: $\frac{9}{11}$
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9. $\frac{4}{14} + \frac{4}{14}$
Add numerators: $4 + 4 = 8$
Answer: $\frac{8}{14}$ → Simplify: $\frac{4}{7}$
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10. $\frac{14}{18} + \frac{1}{18}$
Add numerators: $14 + 1 = 15$
Answer: $\frac{15}{18}$ → Simplify: $\frac{5}{6}$
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11. $\frac{7}{17} + \frac{9}{17}$
Add numerators: $7 + 9 = 16$
Answer: $\frac{16}{17}$
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12. $\frac{7}{31} + \frac{9}{31}$
Add numerators: $7 + 9 = 16$
Answer: $\frac{16}{31}$
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13. $\frac{15}{26} + \frac{9}{26}$
Add numerators: $15 + 9 = 24$
Answer: $\frac{24}{26}$ → Simplify: $\frac{12}{13}$
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14. $\frac{5}{29} + \frac{16}{29}$
Add numerators: $5 + 16 = 21$
Answer: $\frac{21}{29}$
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✔ Final Answers (Simplified Where Possible):
| Problem | Answer |
|--------|--------|
| $\frac{5}{11} + \frac{5}{11}$ | $\frac{10}{11}$ |
| $\frac{7}{10} + \frac{1}{10}$ | $\frac{4}{5}$ |
| $\frac{7}{14} + \frac{2}{14}$ | $\frac{9}{14}$ |
| $\frac{7}{19} + \frac{6}{19}$ | $\frac{13}{19}$ |
| $\frac{10}{20} + \frac{5}{20}$ | $\frac{3}{4}$ |
| $\frac{13}{25} + \frac{5}{25}$ | $\frac{18}{25}$ |
| $\frac{2}{12} + \frac{3}{12}$ | $\frac{5}{12}$ |
| $\frac{9}{22} + \frac{9}{22}$ | $\frac{9}{11}$ |
| $\frac{4}{14} + \frac{4}{14}$ | $\frac{4}{7}$ |
| $\frac{14}{18} + \frac{1}{18}$ | $\frac{5}{6}$ |
| $\frac{7}{17} + \frac{9}{17}$ | $\frac{16}{17}$ |
| $\frac{7}{31} + \frac{9}{31}$ | $\frac{16}{31}$ |
| $\frac{15}{26} + \frac{9}{26}$ | $\frac{12}{13}$ |
| $\frac{5}{29} + \frac{16}{29}$ | $\frac{21}{29}$ |
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🔍 Explanation:
When adding fractions with
like denominators (same bottom number), you:
1. Add the
numerators (top numbers).
2. Keep the
denominator the same.
3. Simplify the result if possible (by dividing numerator and denominator by their greatest common divisor).
This is a fundamental skill in working with fractions!
Let me know if you'd like this as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of adding fractions same denominator worksheet.
