Let’s solve each problem one by one. Remember: when fractions have the same denominator (bottom number), you just add or subtract the top numbers (numerators) and keep the bottom number the same.
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Problem 1:
$\frac{1}{7} + \frac{4}{7}$
Add numerators: $1 + 4 = 5$
Keep denominator: 7
→ $\frac{5}{7}$
Problem 2:
$\frac{16}{13} - \frac{9}{13}$
Subtract numerators: $16 - 9 = 7$
Keep denominator: 13
→ $\frac{7}{13}$
Problem 3:
$\frac{13}{25} - \frac{8}{25}$
Subtract numerators: $13 - 8 = 5$
Keep denominator: 25
→ $\frac{5}{25}$ → Simplify: divide numerator and denominator by 5 → $\frac{1}{5}$
Problem 4:
$\frac{8}{15} + \frac{3}{15}$
Add numerators: $8 + 3 = 11$
Keep denominator: 15
→ $\frac{11}{15}$
Problem 5:
$\frac{10}{17} + \frac{4}{17}$
Add numerators: $10 + 4 = 14$
Keep denominator: 17
→ $\frac{14}{17}$
Problem 6:
$\frac{5}{16} - \frac{3}{16}$
Subtract numerators: $5 - 3 = 2$
Keep denominator: 16
→ $\frac{2}{16}$ → Simplify: divide by 2 → $\frac{1}{8}$
Problem 7:
$\frac{15}{28} + \frac{6}{28}$
Add numerators: $15 + 6 = 21$
Keep denominator: 28
→ $\frac{21}{28}$ → Simplify: divide by 7 → $\frac{3}{4}$
Problem 8:
$\frac{12}{15} - \frac{5}{15}$
Subtract numerators: $12 - 5 = 7$
Keep denominator: 15
→ $\frac{7}{15}$
Problem 9:
$\frac{2}{18} + \frac{3}{18}$
Add numerators: $2 + 3 = 5$
Keep denominator: 18
→ $\frac{5}{18}$
Problem 10:
$\frac{6}{17} + \frac{3}{17}$
Add numerators: $6 + 3 = 9$
Keep denominator: 17
→ $\frac{9}{17}$
Problem 11:
$\frac{18}{21} - \frac{4}{21}$
Subtract numerators: $18 - 4 = 14$
Keep denominator: 21
→ $\frac{14}{21}$ → Simplify: divide by 7 → $\frac{2}{3}$
Problem 12:
$\frac{11}{27} - \frac{3}{27}$
Subtract numerators: $11 - 3 = 8$
Keep denominator: 27
→ $\frac{8}{27}$
Problem 13:
$\frac{4}{12} - \frac{3}{12}$
Subtract numerators: $4 - 3 = 1$
Keep denominator: 12
→ $\frac{1}{12}$
Problem 14:
$\frac{8}{14} + \frac{5}{14}$
Add numerators: $8 + 5 = 13$
Keep denominator: 14
→ $\frac{13}{14}$
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Final Answer:
1. $\frac{5}{7}$
2. $\frac{7}{13}$
3. $\frac{1}{5}$
4. $\frac{11}{15}$
5. $\frac{14}{17}$
6. $\frac{1}{8}$
7. $\frac{3}{4}$
8. $\frac{7}{15}$
9. $\frac{5}{18}$
10. $\frac{9}{17}$
11. $\frac{2}{3}$
12. $\frac{8}{27}$
13. $\frac{1}{12}$
14. $\frac{13}{14}$
Parent Tip: Review the logic above to help your child master the concept of hard addition fractions worksheet.