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. $\frac{1}{4} + \frac{3}{4} + \frac{3}{4}$ | $1\frac{3}{4}$ |
| 7. $\frac{7}{8} + \frac{1}{8} + \frac{3}{8}$ | $1\frac{3}{8}$ |
| 8. $\frac{2}{3} + \frac{1}{3} + \frac{2}{3}$ | $1\frac{2}{3}$ |
| 9. $\frac{3}{5} + \frac{4}{5} + \frac{2}{5}$ | $1\frac{4}{5}$ |
| 10. $\frac{1}{4} + \frac{3}{4} + \frac{1}{4}$ | $1\frac{1}{4}$ |
---
🔍 Explanation:
- When adding fractions with
the same denominator, you only add the
numerators.
- The
denominator stays the same.
- If the result is an
improper fraction (numerator ≥ denominator), convert it to a
mixed number for final answer (as shown above).
Let me know if you'd like a printable version or want these explained visually!
Parent Tip: Review the logic above to help your child master the concept of worksheet in addition of fractions.
