Adding Fractions Worksheet
Name: _____________________________ Date: _____________ Score: _______ / 8
Instructions
Add the fractions. Simplify your answer if you can. Show your working in the space provided.
Questions
1. Same denominators — fill in the blank:
$$\frac{1}{4} + \frac{2}{4} = \text{\_\_\_\_\_}$$
Working space:
2. Same denominators — fill in the blank:
$$\frac{3}{8} + \frac{4}{8} = \text{\_\_\_\_\_}$$
Working space:
3. Same denominators — simplify your answer:
$$\frac{2}{6} + \frac{2}{6} = \text{\_\_\_\_\_}$$
Working space:
4. 🍕 Picture problem — Imagine a pizza cut into 8 equal slices.
You eat 3 slices and your friend eats 2 slices.
Write the fraction each person ate, then add them together.
$$\frac{\square}{8} + \frac{\square}{8} = \text{\_\_\_\_\_}$$
How much of the pizza was eaten altogether? ___________________________
5. Different denominators — find a common denominator first:
$$\frac{1}{2} + \frac{1}{4} = \text{\_\_\_\_\_}$$
> 💡 Hint: Can you change $\frac{1}{2}$ into quarters?
Working space:
6. Different denominators:
$$\frac{1}{3} + \frac{1}{6} = \text{\_\_\_\_\_}$$
Working space:
7. 📖 Word problem:
Mia practised piano for $\frac{1}{4}$ of an hour before school and $\frac{2}{4}$ of an hour after school.
How long did she practise in total?
Answer: ___________________________
Working space:
8. ⭐ Challenge:
$$\frac{1}{2} + \frac{1}{3} = \text{\_\_\_\_\_}$$
> 💡 Hint: The common denominator of 2 and 3 is 6. Convert both fractions first.
Working space:
Answer Key
| Q | Answer | Notes |
|---|---|---|
| 1 | $\dfrac{3}{4}$ | 1 + 2 = 3; denominator stays 4 |
| 2 | $\dfrac{7}{8}$ | 3 + 4 = 7; denominator stays 8 |
| 3 | $\dfrac{2}{3}$ | $\frac{4}{6}$ simplifies ÷ 2 → $\frac{2}{3}$ |
| 4 | $\dfrac{3}{8} + \dfrac{2}{8} = \dfrac{5}{8}$ | 5 out of 8 slices eaten |
| 5 | $\dfrac{3}{4}$ | $\frac{1}{2} = \frac{2}{4}$; then $\frac{2}{4} + \frac{1}{4} = \frac{3}{4}$ |
| 6 | $\dfrac{1}{2}$ | $\frac{1}{3} = \frac{2}{6}$; then $\frac{2}{6} + \frac{1}{6} = \frac{3}{6} = \frac{1}{2}$ |
| 7 | $\dfrac{3}{4}$ of an hour | $\frac{1}{4} + \frac{2}{4} = \frac{3}{4}$ |
| 8 | $\dfrac{5}{6}$ | $\frac{1}{2} = \frac{3}{6}$; $\frac{1}{3} = \frac{2}{6}$; $\frac{3}{6} + \frac{2}{6} = \frac{5}{6}$ |