How many `2/3` kg pieces can be cut from a cake of weight 4 kg?

Answer

To solve the question of how many \( \frac{2}{3} \) kg pieces can be cut from a cake weighing 4 kg, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the total weight of the cake and the weight of each piece**:
- Total weight of the cake = 4 kg
- Weight of each piece = \( \frac{2}{3} \) kg

2. **Set up the equation**:
- Let \( x \) be the number of pieces that can be cut from the cake.
- The total weight of the pieces can be expressed as:
\[ x \times \frac{2}{3} = 4 \]

3. **Solve for \( x \)**:
- To find \( x \), we can rearrange the equation:
\[ x = \frac{4}{\frac{2}{3}} \]
- Dividing by a fraction is the same as multiplying by its reciprocal:
\[ x = 4 \times \frac{3}{2} \]

4. **Calculate the value of \( x \)**:
- First, calculate \( 4 \times 3 = 12 \).
- Then divide by 2:
\[ x = \frac{12}{2} = 6 \]

5. **Conclusion**:
- Therefore, the number of \( \frac{2}{3} \) kg pieces that can be cut from a 4 kg cake is **6**.