1. The problem is to convert a speed from kilometers per hour (km/h) to meters per second (m/s). 2. The formula to convert km/h to m/s is: $$\text{speed in m/s} = \text{speed in km/h} \times \frac{1000}{3600}$$ This is because 1 kilometer = 1000 meters and 1 hour = 3600 seconds. 3. Applying the formula to 120 km/h: $$120 \times \frac{1000}{3600}$$ 4. Simplify the fraction: $$\frac{1000}{3600} = \frac{1000 \div 200}{3600 \div 200} = \frac{5}{18}$$ 5. So the calculation becomes: $$120 \times \frac{5}{18}$$ 6. Multiply: $$\cancel{120} \times \frac{5}{\cancel{18}} = \frac{120}{18} \times 5$$ 7. Simplify $\frac{120}{18}$: $$\frac{120 \div 6}{18 \div 6} = \frac{20}{3}$$ 8. Now multiply: $$\frac{20}{3} \times 5 = \frac{100}{3}$$ 9. Convert to decimal: $$\frac{100}{3} \approx 33.33$$ 10. Therefore, 120 km/h is approximately 33.33 m/s.