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Practice worksheet for adding and subtracting fractions with like denominators, ideal for math education.

Worksheet titled "Adding and Subtracting Fractions with Like Denominators" featuring 14 math problems with fractions that have the same denominator.

Worksheet titled "Adding and Subtracting Fractions with Like Denominators" featuring 14 math problems with fractions that have the same denominator.

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Show Answer Key & Explanations Step-by-step solution for: Adding and Subtracting Fractions Worksheets with Answer Key
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.
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