Add Like Fractions worksheet with multiple examples for practice.
Worksheet with math problems for adding like fractions, including examples such as 6/14 + 5/14 and 11/21 + 10/21.
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Show Answer Key & Explanations
Step-by-step solution for: Add Like Fractions Worksheet (examples, answers, videos, activities)
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Show Answer Key & Explanations
Step-by-step solution for: Add Like Fractions Worksheet (examples, answers, videos, activities)
To add fractions that have the same bottom number (denominator), you keep the bottom number the same and just add the top numbers (numerators) together. After adding, check if the fraction can be simplified to make it smaller and easier to read.
Here is the step-by-step solution for each problem:
Left Column:
1. $\frac{6}{14} + \frac{5}{14}$
* Add tops: $6 + 5 = 11$
* Keep bottom: $14$
* Result: $\frac{11}{14}$
2. $\frac{3}{9} + \frac{6}{9}$
* Add tops: $3 + 6 = 9$
* Keep bottom: $9$
* Result: $\frac{9}{9}$ which equals 1
3. $\frac{7}{19} + \frac{6}{19}$
* Add tops: $7 + 6 = 13$
* Keep bottom: $19$
* Result: $\frac{13}{19}$
4. $\frac{18}{23} + \frac{4}{23}$
* Add tops: $18 + 4 = 22$
* Keep bottom: $23$
* Result: $\frac{22}{23}$
5. $\frac{4}{20} + \frac{4}{20}$
* Add tops: $4 + 4 = 8$
* Keep bottom: $20$
* Result: $\frac{8}{20}$
* Simplify: Both divide by 4 ($8\div4=2$, $20\div4=5$). Final: $\frac{2}{5}$
6. $\frac{1}{14} + \frac{11}{14}$
* Add tops: $1 + 11 = 12$
* Keep bottom: $14$
* Result: $\frac{12}{14}$
* Simplify: Both divide by 2 ($12\div2=6$, $14\div2=7$). Final: $\frac{6}{7}$
7. $\frac{1}{3} + \frac{1}{3}$
* Add tops: $1 + 1 = 2$
* Keep bottom: $3$
* Result: $\frac{2}{3}$
8. $\frac{2}{23} + \frac{14}{23}$
* Add tops: $2 + 14 = 16$
* Keep bottom: $23$
* Result: $\frac{16}{23}$
Right Column:
9. $\frac{11}{21} + \frac{10}{21}$
* Add tops: $11 + 10 = 21$
* Keep bottom: $21$
* Result: $\frac{21}{21}$ which equals 1
10. $\frac{9}{25} + \frac{11}{25}$
* Add tops: $9 + 11 = 20$
* Keep bottom: $25$
* Result: $\frac{20}{25}$
* Simplify: Both divide by 5 ($20\div5=4$, $25\div5=5$). Final: $\frac{4}{5}$
11. $\frac{4}{10} + \frac{4}{10}$
* Add tops: $4 + 4 = 8$
* Keep bottom: $10$
* Result: $\frac{8}{10}$
* Simplify: Both divide by 2 ($8\div2=4$, $10\div2=5$). Final: $\frac{4}{5}$
12. $\frac{2}{17} + \frac{10}{17}$
* Add tops: $2 + 10 = 12$
* Keep bottom: $17$
* Result: $\frac{12}{17}$
13. $\frac{6}{23} + \frac{11}{23}$
* Add tops: $6 + 11 = 17$
* Keep bottom: $23$
* Result: $\frac{17}{23}$
14. $\frac{2}{14} + \frac{11}{14}$
* Add tops: $2 + 11 = 13$
* Keep bottom: $14$
* Result: $\frac{13}{14}$
15. $\frac{11}{24} + \frac{4}{24}$
* Add tops: $11 + 4 = 15$
* Keep bottom: $24$
* Result: $\frac{15}{24}$
* Simplify: Both divide by 3 ($15\div3=5$, $24\div3=8$). Final: $\frac{5}{8}$
16. $\frac{1}{2} + \frac{1}{2}$
* Add tops: $1 + 1 = 2$
* Keep bottom: $2$
* Result: $\frac{2}{2}$ which equals 1
Final Answer:
Left Column:
1. $\frac{11}{14}$
2. $1$
3. $\frac{13}{19}$
4. $\frac{22}{23}$
5. $\frac{2}{5}$
6. $\frac{6}{7}$
7. $\frac{2}{3}$
8. $\frac{16}{23}$
Right Column:
1. $1$
2. $\frac{4}{5}$
3. $\frac{4}{5}$
4. $\frac{12}{17}$
5. $\frac{17}{23}$
6. $\frac{13}{14}$
7. $\frac{5}{8}$
8. $1$
Here is the step-by-step solution for each problem:
Left Column:
1. $\frac{6}{14} + \frac{5}{14}$
* Add tops: $6 + 5 = 11$
* Keep bottom: $14$
* Result: $\frac{11}{14}$
2. $\frac{3}{9} + \frac{6}{9}$
* Add tops: $3 + 6 = 9$
* Keep bottom: $9$
* Result: $\frac{9}{9}$ which equals 1
3. $\frac{7}{19} + \frac{6}{19}$
* Add tops: $7 + 6 = 13$
* Keep bottom: $19$
* Result: $\frac{13}{19}$
4. $\frac{18}{23} + \frac{4}{23}$
* Add tops: $18 + 4 = 22$
* Keep bottom: $23$
* Result: $\frac{22}{23}$
5. $\frac{4}{20} + \frac{4}{20}$
* Add tops: $4 + 4 = 8$
* Keep bottom: $20$
* Result: $\frac{8}{20}$
* Simplify: Both divide by 4 ($8\div4=2$, $20\div4=5$). Final: $\frac{2}{5}$
6. $\frac{1}{14} + \frac{11}{14}$
* Add tops: $1 + 11 = 12$
* Keep bottom: $14$
* Result: $\frac{12}{14}$
* Simplify: Both divide by 2 ($12\div2=6$, $14\div2=7$). Final: $\frac{6}{7}$
7. $\frac{1}{3} + \frac{1}{3}$
* Add tops: $1 + 1 = 2$
* Keep bottom: $3$
* Result: $\frac{2}{3}$
8. $\frac{2}{23} + \frac{14}{23}$
* Add tops: $2 + 14 = 16$
* Keep bottom: $23$
* Result: $\frac{16}{23}$
Right Column:
9. $\frac{11}{21} + \frac{10}{21}$
* Add tops: $11 + 10 = 21$
* Keep bottom: $21$
* Result: $\frac{21}{21}$ which equals 1
10. $\frac{9}{25} + \frac{11}{25}$
* Add tops: $9 + 11 = 20$
* Keep bottom: $25$
* Result: $\frac{20}{25}$
* Simplify: Both divide by 5 ($20\div5=4$, $25\div5=5$). Final: $\frac{4}{5}$
11. $\frac{4}{10} + \frac{4}{10}$
* Add tops: $4 + 4 = 8$
* Keep bottom: $10$
* Result: $\frac{8}{10}$
* Simplify: Both divide by 2 ($8\div2=4$, $10\div2=5$). Final: $\frac{4}{5}$
12. $\frac{2}{17} + \frac{10}{17}$
* Add tops: $2 + 10 = 12$
* Keep bottom: $17$
* Result: $\frac{12}{17}$
13. $\frac{6}{23} + \frac{11}{23}$
* Add tops: $6 + 11 = 17$
* Keep bottom: $23$
* Result: $\frac{17}{23}$
14. $\frac{2}{14} + \frac{11}{14}$
* Add tops: $2 + 11 = 13$
* Keep bottom: $14$
* Result: $\frac{13}{14}$
15. $\frac{11}{24} + \frac{4}{24}$
* Add tops: $11 + 4 = 15$
* Keep bottom: $24$
* Result: $\frac{15}{24}$
* Simplify: Both divide by 3 ($15\div3=5$, $24\div3=8$). Final: $\frac{5}{8}$
16. $\frac{1}{2} + \frac{1}{2}$
* Add tops: $1 + 1 = 2$
* Keep bottom: $2$
* Result: $\frac{2}{2}$ which equals 1
Final Answer:
Left Column:
1. $\frac{11}{14}$
2. $1$
3. $\frac{13}{19}$
4. $\frac{22}{23}$
5. $\frac{2}{5}$
6. $\frac{6}{7}$
7. $\frac{2}{3}$
8. $\frac{16}{23}$
Right Column:
1. $1$
2. $\frac{4}{5}$
3. $\frac{4}{5}$
4. $\frac{12}{17}$
5. $\frac{17}{23}$
6. $\frac{13}{14}$
7. $\frac{5}{8}$
8. $1$
Parent Tip: Review the logic above to help your child master the concept of adding fractions with same denominator worksheet.