Printable math worksheet for adding fractions with visual aids, ideal for elementary students.

Let's solve each of the fraction addition problems shown in the image step by step. Each problem is represented both visually and numerically.

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Problem 1:

Visual: Two sets of triangles, each divided into 7 equal parts.
- First shape: 4 out of 7 triangles are shaded (pink).
- Second shape: 2 out of 7 triangles are shaded (pink).
- Total shaded: 4 + 2 = 6 out of 7 triangles.

Numerical:
$$
\frac{4}{7} + \frac{2}{7} = \frac{6}{7}
$$

✔ Answer: $ \frac{6}{7} $

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Problem 2:

Visual: Two hexagons, each divided into 12 equal parts (like a clock).
- First hexagon: 3 out of 12 parts are shaded (green).
- Second hexagon: 5 out of 12 parts are shaded (green).
- Total shaded: 3 + 5 = 8 out of 12 parts.

Numerical:
$$
\frac{3}{12} + \frac{5}{12} = \frac{8}{12}
$$

Now simplify:
$$
\frac{8}{12} = \frac{2}{3} \quad \text{(dividing numerator and denominator by 4)}
$$

But since the problem shows the answer box as two blanks (numerator and denominator), we can write either $ \frac{8}{12} $ or simplified $ \frac{2}{3} $. However, since the original fractions are not simplified, and the visual shows 8 out of 12, it's acceptable to leave it as $ \frac{8}{12} $ unless simplification is required.

✔ Answer: $ \frac{8}{12} $ or simplified $ \frac{2}{3} $

> ✔ For consistency with the format, $ \frac{8}{12} $ is appropriate here.

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Problem 3:

Visual: Two rectangles, each divided into 10 equal parts (a 2x5 grid).
- First rectangle: 4 out of 10 parts are shaded (orange).
- Second rectangle: 4 out of 10 parts are shaded (orange).
- Total shaded: 4 + 4 = 8 out of 10 parts.

Numerical:
$$
\frac{4}{10} + \frac{4}{10} = \frac{8}{10}
$$

Simplify:
$$
\frac{8}{10} = \frac{4}{5}
$$

Again, depending on whether simplification is expected, but the visual shows 8 out of 10, so $ \frac{8}{10} $ is correct for the diagram.

✔ Answer: $ \frac{8}{10} $ or simplified $ \frac{4}{5} $

> ✔ We'll use $ \frac{8}{10} $ to match the visual representation.

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✔ Final Answers:

1. $ \frac{4}{7} + \frac{2}{7} = \boxed{\frac{6}{7}} $
2. $ \frac{3}{12} + \frac{5}{12} = \boxed{\frac{8}{12}} $
3. $ \frac{4}{10} + \frac{4}{10} = \boxed{\frac{8}{10}} $

> 💡 Note: All these are like fractions (same denominators), so you simply add the numerators and keep the denominator the same.

Let me know if you'd like the answers simplified!