This worksheet helps students practice adding simple fractions by using visual pie charts to represent the values.

Problem: Visually Adding Simple Fractions

The task involves adding simple fractions and using visual representations (circles divided into parts) to understand the addition process. Let's solve each problem step by step.

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#### 1)
$$
\frac{2}{9} + \frac{2}{9} = \, ?
$$

- Visual Representation: The first circle is divided into 9 equal parts, with 2 parts shaded. The second circle is also divided into 9 equal parts, with 2 parts shaded.
- Addition: Since both fractions have the same denominator (9), we can simply add the numerators:
$$
\frac{2}{9} + \frac{2}{9} = \frac{2 + 2}{9} = \frac{4}{9}
$$
- Answer:
$$
\boxed{\frac{4}{9}}
$$

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#### 2)
$$
\frac{1}{4} + \frac{1}{4} = \, ?
$$

- Visual Representation: The first circle is divided into 4 equal parts, with 1 part shaded. The second circle is also divided into 4 equal parts, with 1 part shaded.
- Addition: Since both fractions have the same denominator (4), we can add the numerators:
$$
\frac{1}{4} + \frac{1}{4} = \frac{1 + 1}{4} = \frac{2}{4}
$$
- Simplification: The fraction $\frac{2}{4}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2:
$$
\frac{2}{4} = \frac{2 \div 2}{4 \div 2} = \frac{1}{2}
$$
- Answer:
$$
\boxed{\frac{1}{2}}
$$

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#### 3)
$$
\frac{3}{10} + \frac{4}{10} = \, ?
$$

- Visual Representation: The first circle is divided into 10 equal parts, with 3 parts shaded. The second circle is also divided into 10 equal parts, with 4 parts shaded.
- Addition: Since both fractions have the same denominator (10), we can add the numerators:
$$
\frac{3}{10} + \frac{4}{10} = \frac{3 + 4}{10} = \frac{7}{10}
$$
- Answer:
$$
\boxed{\frac{7}{10}}
$$

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#### 4)
$$
\frac{1}{3} + \frac{1}{3} = \, ?
$$

- Visual Representation: The first circle is divided into 3 equal parts, with 1 part shaded. The second circle is also divided into 3 equal parts, with 1 part shaded.
- Addition: Since both fractions have the same denominator (3), we can add the numerators:
$$
\frac{1}{3} + \frac{1}{3} = \frac{1 + 1}{3} = \frac{2}{3}
$$
- Answer:
$$
\boxed{\frac{2}{3}}
$$

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#### 5)
$$
\frac{2}{12} + \frac{8}{12} = \, ?
$$

- Visual Representation: The first circle is divided into 12 equal parts, with 2 parts shaded. The second circle is also divided into 12 equal parts, with 8 parts shaded.
- Addition: Since both fractions have the same denominator (12), we can add the numerators:
$$
\frac{2}{12} + \frac{8}{12} = \frac{2 + 8}{12} = \frac{10}{12}
$$
- Simplification: The fraction $\frac{10}{12}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2:
$$
\frac{10}{12} = \frac{10 \div 2}{12 \div 2} = \frac{5}{6}
$$
- Answer:
$$
\boxed{\frac{5}{6}}
$$

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Final Answers:

1. $\boxed{\frac{4}{9}}$
2. $\boxed{\frac{1}{2}}$
3. $\boxed{\frac{7}{10}}$
4. $\boxed{\frac{2}{3}}$
5. $\boxed{\frac{5}{6}}$

Boxed Final Answer:
$$
\boxed{\frac{4}{9}, \frac{1}{2}, \frac{7}{10}, \frac{2}{3}, \frac{5}{6}}
$$