1 km/h = ___ m/s.

Options

A. `(18)/(5)`
B. `(10)/(17)`
C. `(5)/(18)`
D. `(17)/(10)`

Explanation

To convert 1 km/h to m/s, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the units**:
- We know that 1 kilometer (km) is equal to 1,000 meters (m).
- We also know that 1 hour (h) is equal to 3,600 seconds (s).

2. **Set up the conversion**:
- We want to convert 1 km/h into m/s. This can be expressed as:
\[ \text{Speed in m/s} = \frac{\text{Distance in meters}}{\text{Time in seconds}} = \frac{1000 \text{ m}}{3600 \text{ s}} \]

3. **Simplify the fraction**:
- We can simplify the fraction \(\frac{1000}{3600}\) by dividing both the numerator and the denominator by 100:
\[ \frac{1000 \div 100}{3600 \div 100} = \frac{10}{36} \]

4. **Further simplify**:
- Now, we can simplify \(\frac{10}{36}\) by dividing both the numerator and the denominator by 2:
\[ \frac{10 \div 2}{36 \div 2} = \frac{5}{18} \]

5. **Final result**:
- Therefore, we find that:
\[ 1 \text{ km/h} = \frac{5}{18} \text{ m/s} \]

### Conclusion:
1 km/h is equal to \(\frac{5}{18}\) m/s.

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