Adding fractions worksheet with practice problems for students.
Educational worksheet: Adding and Subtracting Fractions Worksheets with Answer Key. Download and print for classroom or home learning activities.
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Step-by-step solution for: Adding and Subtracting Fractions Worksheets with Answer Key
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Show Answer Key & Explanations
Step-by-step solution for: Adding and Subtracting Fractions Worksheets with Answer Key
Here are the solutions to the fraction addition problems.
Rule for these problems: When the bottom numbers (denominators) are the same, you keep the bottom number the same and just add the top numbers (numerators) together.
Left Column:
1. $\frac{3}{9} + \frac{2}{9} + \frac{1}{9}$
* Add tops: $3 + 2 + 1 = 6$
* Answer: $\frac{6}{9}$
2. $\frac{1}{7} + \frac{2}{7} + \frac{2}{7}$
* Add tops: $1 + 2 + 2 = 5$
* Answer: $\frac{5}{7}$
3. $\frac{1}{7} + \frac{2}{7} + \frac{3}{7}$
* Add tops: $1 + 2 + 3 = 6$
* Answer: $\frac{6}{7}$
4. $\frac{1}{6} + \frac{2}{6} + \frac{2}{6}$
* Add tops: $1 + 2 + 2 = 5$
* Answer: $\frac{5}{6}$
5. $\frac{1}{8} + \frac{3}{8} + \frac{2}{8}$
* Add tops: $1 + 3 + 2 = 6$
* Answer: $\frac{6}{8}$
6. $\frac{2}{7} + \frac{1}{7} + \frac{4}{7}$
* Add tops: $2 + 1 + 4 = 7$
* Result: $\frac{7}{7}$ (which equals 1)
* Answer: $1$
7. $\frac{2}{7} + \frac{2}{7} + \frac{1}{7}$
* Add tops: $2 + 2 + 1 = 5$
* Answer: $\frac{5}{7}$
8. $\frac{1}{9} + \frac{1}{9} + \frac{1}{9}$
* Add tops: $1 + 1 + 1 = 3$
* Answer: $\frac{3}{9}$
9. $\frac{1}{5} + \frac{1}{5} + \frac{3}{5}$
* Add tops: $1 + 1 + 3 = 5$
* Result: $\frac{5}{5}$ (which equals 1)
* Answer: $1$
10. $\frac{1}{4} + \frac{1}{4} + \frac{1}{4}$
* Add tops: $1 + 1 + 1 = 3$
* Answer: $\frac{3}{4}$
***
Right Column:
11. $\frac{1}{5} + \frac{2}{5} + \frac{1}{5}$
* Add tops: $1 + 2 + 1 = 4$
* Answer: $\frac{4}{5}$
12. $\frac{1}{9} + \frac{2}{9} + \frac{2}{9}$
* Add tops: $1 + 2 + 2 = 5$
* Answer: $\frac{5}{9}$
13. $\frac{2}{6} + \frac{2}{6} + \frac{2}{6}$
* Add tops: $2 + 2 + 2 = 6$
* Result: $\frac{6}{6}$ (which equals 1)
* Answer: $1$
14. $\frac{1}{3} + \frac{1}{3} + \frac{1}{3}$
* Add tops: $1 + 1 + 1 = 3$
* Result: $\frac{3}{3}$ (which equals 1)
* Answer: $1$
15. $\frac{1}{5} + \frac{1}{5} + \frac{2}{5}$
* Add tops: $1 + 1 + 2 = 4$
* Answer: $\frac{4}{5}$
16. $\frac{2}{9} + \frac{2}{9} + \frac{3}{9}$
* Add tops: $2 + 2 + 3 = 7$
* Answer: $\frac{7}{9}$
17. $\frac{2}{9} + \frac{1}{9} + \frac{3}{9}$
* Add tops: $2 + 1 + 3 = 6$
* Answer: $\frac{6}{9}$
18. $\frac{1}{8} + \frac{3}{8} + \frac{4}{8}$
* Add tops: $1 + 3 + 4 = 8$
* Result: $\frac{8}{8}$ (which equals 1)
* Answer: $1$
19. $\frac{1}{6} + \frac{2}{6} + \frac{3}{6}$
* Add tops: $1 + 2 + 3 = 6$
* Result: $\frac{6}{6}$ (which equals 1)
* Answer: $1$
20. $\frac{1}{8} + \frac{2}{8} + \frac{4}{8}$
* Add tops: $1 + 2 + 4 = 7$
* Answer: $\frac{7}{8}$
Final Answer:
Left Column:
1. $\frac{6}{9}$
2. $\frac{5}{7}$
3. $\frac{6}{7}$
4. $\frac{5}{6}$
5. $\frac{6}{8}$
6. $1$
7. $\frac{5}{7}$
8. $\frac{3}{9}$
9. $1$
10. $\frac{3}{4}$
Right Column:
11. $\frac{4}{5}$
12. $\frac{5}{9}$
13. $1$
14. $1$
15. $\frac{4}{5}$
16. $\frac{7}{9}$
17. $\frac{6}{9}$
18. $1$
19. $1$
20. $\frac{7}{8}$
Rule for these problems: When the bottom numbers (denominators) are the same, you keep the bottom number the same and just add the top numbers (numerators) together.
Left Column:
1. $\frac{3}{9} + \frac{2}{9} + \frac{1}{9}$
* Add tops: $3 + 2 + 1 = 6$
* Answer: $\frac{6}{9}$
2. $\frac{1}{7} + \frac{2}{7} + \frac{2}{7}$
* Add tops: $1 + 2 + 2 = 5$
* Answer: $\frac{5}{7}$
3. $\frac{1}{7} + \frac{2}{7} + \frac{3}{7}$
* Add tops: $1 + 2 + 3 = 6$
* Answer: $\frac{6}{7}$
4. $\frac{1}{6} + \frac{2}{6} + \frac{2}{6}$
* Add tops: $1 + 2 + 2 = 5$
* Answer: $\frac{5}{6}$
5. $\frac{1}{8} + \frac{3}{8} + \frac{2}{8}$
* Add tops: $1 + 3 + 2 = 6$
* Answer: $\frac{6}{8}$
6. $\frac{2}{7} + \frac{1}{7} + \frac{4}{7}$
* Add tops: $2 + 1 + 4 = 7$
* Result: $\frac{7}{7}$ (which equals 1)
* Answer: $1$
7. $\frac{2}{7} + \frac{2}{7} + \frac{1}{7}$
* Add tops: $2 + 2 + 1 = 5$
* Answer: $\frac{5}{7}$
8. $\frac{1}{9} + \frac{1}{9} + \frac{1}{9}$
* Add tops: $1 + 1 + 1 = 3$
* Answer: $\frac{3}{9}$
9. $\frac{1}{5} + \frac{1}{5} + \frac{3}{5}$
* Add tops: $1 + 1 + 3 = 5$
* Result: $\frac{5}{5}$ (which equals 1)
* Answer: $1$
10. $\frac{1}{4} + \frac{1}{4} + \frac{1}{4}$
* Add tops: $1 + 1 + 1 = 3$
* Answer: $\frac{3}{4}$
***
Right Column:
11. $\frac{1}{5} + \frac{2}{5} + \frac{1}{5}$
* Add tops: $1 + 2 + 1 = 4$
* Answer: $\frac{4}{5}$
12. $\frac{1}{9} + \frac{2}{9} + \frac{2}{9}$
* Add tops: $1 + 2 + 2 = 5$
* Answer: $\frac{5}{9}$
13. $\frac{2}{6} + \frac{2}{6} + \frac{2}{6}$
* Add tops: $2 + 2 + 2 = 6$
* Result: $\frac{6}{6}$ (which equals 1)
* Answer: $1$
14. $\frac{1}{3} + \frac{1}{3} + \frac{1}{3}$
* Add tops: $1 + 1 + 1 = 3$
* Result: $\frac{3}{3}$ (which equals 1)
* Answer: $1$
15. $\frac{1}{5} + \frac{1}{5} + \frac{2}{5}$
* Add tops: $1 + 1 + 2 = 4$
* Answer: $\frac{4}{5}$
16. $\frac{2}{9} + \frac{2}{9} + \frac{3}{9}$
* Add tops: $2 + 2 + 3 = 7$
* Answer: $\frac{7}{9}$
17. $\frac{2}{9} + \frac{1}{9} + \frac{3}{9}$
* Add tops: $2 + 1 + 3 = 6$
* Answer: $\frac{6}{9}$
18. $\frac{1}{8} + \frac{3}{8} + \frac{4}{8}$
* Add tops: $1 + 3 + 4 = 8$
* Result: $\frac{8}{8}$ (which equals 1)
* Answer: $1$
19. $\frac{1}{6} + \frac{2}{6} + \frac{3}{6}$
* Add tops: $1 + 2 + 3 = 6$
* Result: $\frac{6}{6}$ (which equals 1)
* Answer: $1$
20. $\frac{1}{8} + \frac{2}{8} + \frac{4}{8}$
* Add tops: $1 + 2 + 4 = 7$
* Answer: $\frac{7}{8}$
Final Answer:
Left Column:
1. $\frac{6}{9}$
2. $\frac{5}{7}$
3. $\frac{6}{7}$
4. $\frac{5}{6}$
5. $\frac{6}{8}$
6. $1$
7. $\frac{5}{7}$
8. $\frac{3}{9}$
9. $1$
10. $\frac{3}{4}$
Right Column:
11. $\frac{4}{5}$
12. $\frac{5}{9}$
13. $1$
14. $1$
15. $\frac{4}{5}$
16. $\frac{7}{9}$
17. $\frac{6}{9}$
18. $1$
19. $1$
20. $\frac{7}{8}$
Parent Tip: Review the logic above to help your child master the concept of adding fractions worksheets.
