From a cloth 5 m long, a piece of length 2 m 85 cm is cut off. What is the length of the remaining piece ?

Options

A. 2 m 17 cm
B. 1 m 15 cm
C. 2 m 16 cm
D. 2 m 15 cm

Answer

To solve the problem step by step, we will find the length of the remaining piece of cloth after cutting off a piece of 2 m 85 cm from a 5 m long cloth.

### Step-by-Step Solution:

1. **Identify the total length of the cloth:**
- The total length of the cloth is given as 5 meters.

2. **Convert the total length from meters to centimeters:**
- Since 1 meter = 100 centimeters, we convert 5 meters to centimeters:
\[ 5 \, \text{m} = 5 \times 100 \, \text{cm} = 500 \, \text{cm} \]

3. **Identify the length of the piece cut off:**
- The length of the piece cut off is given as 2 meters 85 centimeters.

4. **Convert the cut piece length from meters to centimeters:**
- Convert 2 meters to centimeters:
\[ 2 \, \text{m} = 2 \times 100 \, \text{cm} = 200 \, \text{cm} \]
- Now add the 85 centimeters:
\[ \text{Total length of cut piece} = 200 \, \text{cm} + 85 \, \text{cm} = 285 \, \text{cm} \]

5. **Calculate the remaining length of the cloth:**
- To find the remaining length, subtract the length of the cut piece from the total length:
\[ \text{Remaining length} = 500 \, \text{cm} - 285 \, \text{cm} \]

6. **Perform the subtraction:**
- Start with the subtraction:
\[ 500 - 285 = 215 \, \text{cm} \]

7. **Convert the remaining length back to meters and centimeters:**
- To convert 215 cm back to meters, we can separate it into meters and centimeters:
\[ 215 \, \text{cm} = 200 \, \text{cm} + 15 \, \text{cm} = 2 \, \text{m} + 15 \, \text{cm} \]

### Final Answer:
The length of the remaining piece of cloth is **2 meters 15 centimeters**.

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