Find `2/(7)+3/(7)` with the help of a diagram.

Answer

To solve the problem of adding the fractions \( \frac{2}{7} + \frac{3}{7} \) with the help of a diagram, we can follow these steps:

### Step-by-Step Solution:

1. **Draw a Rectangle**: Start by drawing a rectangle to represent the whole. This rectangle will be divided into 7 equal parts since the denominator of both fractions is 7.

**Hint**: Remember that the denominator indicates how many equal parts the whole is divided into.

2. **Shade the First Fraction**: For \( \frac{2}{7} \), shade 2 out of the 7 parts of the rectangle. This shows that 2 parts are being considered from the whole.

**Hint**: Count the parts carefully to ensure you shade exactly 2 sections.

3. **Shade the Second Fraction**: For \( \frac{3}{7} \), shade an additional 3 out of the 7 parts of the rectangle. This will be done on the same rectangle, overlapping with the first shaded area.

**Hint**: Ensure that you are shading 3 new parts, not overlapping with the previously shaded parts.

4. **Count the Total Shaded Parts**: Now, count the total number of shaded parts. You have shaded 2 parts from the first fraction and 3 parts from the second fraction.

**Hint**: Add the shaded parts together: \( 2 + 3 \).

5. **Write the Resulting Fraction**: The total number of shaded parts is 5, and since the whole is still divided into 7 parts, the result of the addition is \( \frac{5}{7} \).

**Hint**: The result should still have the same denominator as the original fractions since they are like fractions.

### Final Answer:
Thus, \( \frac{2}{7} + \frac{3}{7} = \frac{5}{7} \).