Addition of Fractions worksheet featuring ten problems with like denominators for practice.

You're working on a worksheet titled “Addition of Fractions”. All the problems involve adding three fractions that have the same denominator (like 5, 4, 2, etc.). This makes them very straightforward to solve!

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✔ Rule for Adding Fractions with the Same Denominator:

> Keep the denominator the same, and add the numerators.

Then, if possible, simplify the fraction or convert it to a mixed number.

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Let’s solve each problem one by one:

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## 🔹 Left Column:

1.  $\frac{3}{5} + \frac{2}{5} + \frac{1}{5} = ?$

- Add numerators: $3 + 2 + 1 = 6$
- Keep denominator: 5
- Result: $\frac{6}{5}$ → This is an improper fraction. Convert to mixed number:
$\frac{6}{5} = 1\frac{1}{5}$

✔ Answer: $1\frac{1}{5}$

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2.  $\frac{1}{5} + \frac{2}{5} + \frac{1}{5} = ?$

- Numerators: $1 + 2 + 1 = 4$
- Denominator: 5
- Result: $\frac{4}{5}$ (already simplified)

✔ Answer: $\frac{4}{5}$

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3.  $\frac{1}{2} + \frac{2}{2} + \frac{1}{2} = ?$

- Numerators: $1 + 2 + 1 = 4$
- Denominator: 2
- Result: $\frac{4}{2} = 2$ (simplifies to a whole number)

✔ Answer: $2$

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4.  $\frac{5}{9} + \frac{1}{9} + \frac{3}{9} = ?$

- Numerators: $5 + 1 + 3 = 9$
- Denominator: 9
- Result: $\frac{9}{9} = 1$

✔ Answer: $1$

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5.  $\frac{3}{7} + \frac{1}{7} + \frac{2}{7} = ?$

- Numerators: $3 + 1 + 2 = 6$
- Denominator: 7
- Result: $\frac{6}{7}$ (already simplified)

✔ Answer: $\frac{6}{7}$

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## 🔹 Right Column:

6.  $\frac{1}{4} + \frac{3}{4} + \frac{1}{4} = ?$

- Numerators: $1 + 3 + 1 = 5$
- Denominator: 4
- Result: $\frac{5}{4} = 1\frac{1}{4}$

✔ Answer: $1\frac{1}{4}$

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7.  $\frac{1}{4} + \frac{2}{4} + \frac{2}{4} = ?$

- Numerators: $1 + 2 + 2 = 5$
- Denominator: 4
- Result: $\frac{5}{4} = 1\frac{1}{4}$

✔ Answer: $1\frac{1}{4}$

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8.  $\frac{1}{6} + \frac{3}{6} + \frac{3}{6} = ?$

- Numerators: $1 + 3 + 3 = 7$
- Denominator: 6
- Result: $\frac{7}{6} = 1\frac{1}{6}$

✔ Answer: $1\frac{1}{6}$

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9.  $\frac{2}{5} + \frac{1}{5} + \frac{4}{5} = ?$

- Numerators: $2 + 1 + 4 = 7$
- Denominator: 5
- Result: $\frac{7}{5} = 1\frac{2}{5}$

✔ Answer: $1\frac{2}{5}$

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10.  $\frac{2}{4} + \frac{1}{4} + \frac{1}{4} = ?$

- Numerators: $2 + 1 + 1 = 4$
- Denominator: 4
- Result: $\frac{4}{4} = 1$

✔ Answer: $1$

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## 📝 Final Answers (in order):

Left Column:
1. $1\frac{1}{5}$
2. $\frac{4}{5}$
3. $2$
4. $1$
5. $\frac{6}{7}$

Right Column:
6. $1\frac{1}{4}$
7. $1\frac{1}{4}$
8. $1\frac{1}{6}$
9. $1\frac{2}{5}$
10. $1$

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## 💡 Teaching Tip:
This worksheet reinforces the concept that when denominators are the same, you only add the top numbers (numerators). It also gives practice in simplifying or converting improper fractions to mixed numbers — great for building foundational skills!

Let me know if you want to see these problems visually modeled with pie charts or number lines! 🍕📏