Let's solve each of the addition of fractions problems step by step. All the fractions in this worksheet have
like denominators, which means we can simply add the numerators and keep the denominator the same.
---
1.
$$
\frac{1}{3} + \frac{1}{3} = \frac{1+1}{3} = \frac{2}{3}
$$
---
2.
$$
\frac{2}{7} + \frac{3}{7} = \frac{2+3}{7} = \frac{5}{7}
$$
---
3.
$$
\frac{1}{5} + \frac{3}{5} = \frac{1+3}{5} = \frac{4}{5}
$$
---
4.
$$
\frac{1}{9} + \frac{7}{9} = \frac{1+7}{9} = \frac{8}{9}
$$
---
5.
$$
\frac{1}{5} + \frac{2}{5} + \frac{1}{5} = \frac{1+2+1}{5} = \frac{4}{5}
$$
---
6.
$$
\frac{1}{4} + \frac{3}{4} + \frac{3}{4} = \frac{1+3+3}{4} = \frac{7}{4}
$$
Now, $\frac{7}{4}$ is an
improper fraction. We can convert it to a mixed number:
$$
\frac{7}{4} = 1\frac{3}{4}
$$
---
7.
$$
\frac{7}{8} + \frac{1}{8} + \frac{3}{8} = \frac{7+1+3}{8} = \frac{11}{8}
$$
Convert to mixed number:
$$
\frac{11}{8} = 1\frac{3}{8}
$$
---
8.
$$
\frac{2}{3} + \frac{1}{3} + \frac{2}{3} = \frac{2+1+2}{3} = \frac{5}{3}
$$
Convert to mixed number:
$$
\frac{5}{3} = 1\frac{2}{3}
$$
---
9.
$$
\frac{3}{5} + \frac{4}{5} + \frac{2}{5} = \frac{3+4+2}{5} = \frac{9}{5}
$$
Convert to mixed number:
$$
\frac{9}{5} = 1\frac{4}{5}
$$
---
10.
$$
\frac{1}{4} + \frac{3}{4} + \frac{1}{4} = \frac{1+3+1}{4} = \frac{5}{4}
$$
Convert to mixed number:
$$
\frac{5}{4} = 1\frac{1}{4}
$$
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1. $ \frac{1}{3} + \frac{1}{3} $ | $ \frac{2}{3} $ |
| 2. $ \frac{2}{7} + \frac{3}{7} $ | $ \frac{5}{7} $ |
| 3. $ \frac{1}{5} + \frac{3}{5} $ | $ \frac{4}{5} $ |
| 4. $ \frac{1}{9} + \frac{7}{9} $ | $ \frac{8}{9} $ |
| 5. $ \frac{1}{5} + \frac{2}{5} + \frac{1}{5} $ | $ \frac{4}{5} $ |
| 6. $ \frac{1}{4} + \frac{3}{4} + \frac{3}{4} $ | $ \frac{7}{4} $ or $ 1\frac{3}{4} $ |
| 7. $ \frac{7}{8} + \frac{1}{8} + \frac{3}{8} $ | $ \frac{11}{8} $ or $ 1\frac{3}{8} $ |
| 8. $ \frac{2}{3} + \frac{1}{3} + \frac{2}{3} $ | $ \frac{5}{3} $ or $ 1\frac{2}{3} $ |
| 9. $ \frac{3}{5} + \frac{4}{5} + \frac{2}{5} $ | $ \frac{9}{5} $ or $ 1\frac{4}{5} $ |
| 10. $ \frac{1}{4} + \frac{3}{4} + \frac{1}{4} $ | $ \frac{5}{4} $ or $ 1\frac{1}{4} $ |
---
📝 Explanation:
- When adding fractions with
the same denominator, you
add the numerators and
keep the denominator.
- If the result is an
improper fraction (numerator > denominator), you can convert it to a
mixed number for clarity.
Let me know if you'd like this formatted as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of addition of fraction worksheet.
