Add fractions - Fraction Worksheets for Year 3 (age 7-8) by ... - Free Printable

Let's solve each of these fraction addition problems step by step, using the visual clues (like pie charts and grids) to help determine the missing fractions.

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1.

$$
\frac{2}{6} + \frac{3}{6} = \frac{5}{6}
$$
✔ Already done. The shaded parts in the pizza show 5 out of 6 slices.

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2.

$$
\frac{3}{10} + \boxed{\frac{?}{?}} = \text{(shaded pie chart)}
$$

Look at the pie chart: it's divided into 10 equal parts, and 7 are shaded.

So:
$$
\frac{3}{10} + \frac{4}{10} = \frac{7}{10}
$$

✔ Answer: $\boxed{\frac{4}{10}}$

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3.

$$
\frac{4}{8} + \boxed{\frac{?}{?}} = \text{(grid with 8 squares, 5 shaded)}
$$

The grid has 8 squares total, and 5 are shaded. So the total is $\frac{5}{8}$.

We already have $\frac{4}{8}$, so:
$$
\frac{4}{8} + \frac{1}{8} = \frac{5}{8}
$$

✔ Answer: $\boxed{\frac{1}{8}}$

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4.

$$
\frac{1}{5} + \boxed{\frac{?}{?}} = \text{(pie chart with 5 slices, 3 shaded)}
$$

Total shaded = 3/5 → So:
$$
\frac{1}{5} + \frac{2}{5} = \frac{3}{5}
$$

✔ Answer: $\boxed{\frac{2}{5}}$

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5.

$$
\frac{2}{7} + \boxed{\frac{?}{?}} = \text{(pie chart with 7 slices, 5 shaded)}
$$

Total = $\frac{5}{7}$ → So:
$$
\frac{2}{7} + \frac{3}{7} = \frac{5}{7}
$$

✔ Answer: $\boxed{\frac{3}{7}}$

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6.

$$
\frac{5}{9} + \boxed{\frac{?}{?}} = \text{(pie chart with 9 slices, 7 shaded)}
$$

Total = $\frac{7}{9}$ → So:
$$
\frac{5}{9} + \frac{2}{9} = \frac{7}{9}
$$

✔ Answer: $\boxed{\frac{2}{9}}$

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7.

$$
\frac{6}{10} + \boxed{\frac{?}{?}} = \text{(grid with 10 squares, 9 shaded)}
$$

Total = $\frac{9}{10}$ → So:
$$
\frac{6}{10} + \frac{3}{10} = \frac{9}{10}
$$

✔ Answer: $\boxed{\frac{3}{10}}$

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8.

$$
\frac{3}{6} + \boxed{\frac{?}{?}} = \text{(pie chart with 6 slices, 4 shaded)}
$$

Total = $\frac{4}{6}$ → So:
$$
\frac{3}{6} + \frac{1}{6} = \frac{4}{6}
$$

✔ Answer: $\boxed{\frac{1}{6}}$

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9.

$$
\frac{2}{8} + \boxed{\frac{?}{?}} = \text{(grid with 8 squares, 5 shaded)}
$$

Total = $\frac{5}{8}$ → So:
$$
\frac{2}{8} + \frac{3}{8} = \frac{5}{8}
$$

✔ Answer: $\boxed{\frac{3}{8}}$

---

10.

$$
\frac{4}{9} + \boxed{\frac{?}{?}} = \text{(pie chart with 9 slices, 7 shaded)}
$$

Total = $\frac{7}{9}$ → So:
$$
\frac{4}{9} + \frac{3}{9} = \frac{7}{9}
$$

✔ Answer: $\boxed{\frac{3}{9}}$

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✔ Final Answers:

| Problem | Missing Fraction |
|--------|------------------|
| 1. | $\frac{3}{6}$ (already given) |
| 2. | $\frac{4}{10}$ |
| 3. | $\frac{1}{8}$ |
| 4. | $\frac{2}{5}$ |
| 5. | $\frac{3}{7}$ |
| 6. | $\frac{2}{9}$ |
| 7. | $\frac{3}{10}$ |
| 8. | $\frac{1}{6}$ |
| 9. | $\frac{3}{8}$ |
| 10. | $\frac{3}{9}$ |

> 💡 Tip: All these problems involve adding fractions with the same denominator, so you just add the numerators and keep the denominator the same. The visuals (pies and grids) help confirm the total shaded portion.

Let me know if you'd like this turned into a printable answer sheet!