How many equal pieces , each of length 3.6 cm can be cut from a rope of length 61.2 cm ?

Answer

To solve the problem of how many equal pieces, each of length 3.6 cm, can be cut from a rope of length 61.2 cm, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Length of the rope = 61.2 cm
- Length of each piece = 3.6 cm

2. **Set Up the Equation:**
- Let \( x \) be the number of pieces that can be cut from the rope.
- The relationship can be expressed as:
\[ x \times \text{(length of each piece)} = \text{(length of the rope)} \]
- This gives us the equation:
\[ x \times 3.6 = 61.2 \]

3. **Solve for \( x \):**
- To find \( x \), we can rearrange the equation:
\[ x = \frac{61.2}{3.6} \]

4. **Perform the Division:**
- To simplify the division, we can eliminate the decimal by multiplying both the numerator and the denominator by 10:
\[ x = \frac{61.2 \times 10}{3.6 \times 10} = \frac{612}{36} \]
- Now, we can perform the division:
\[ 612 \div 36 = 17 \]

5. **Final Answer:**
- Therefore, the number of equal pieces that can be cut from the rope is:
\[ \boxed{17} \]