Answer:
The ratio of 100 meters to 5 kilometers is 1:50.
Step-by-step explanation:
Given:
To find the ratio of 100 meters to 5 kilometers, first convert kilometers to meters:
We know 1000 meters(metres) = 1 km
[tex] \sf \rightarrow 5 \text{ km} = 1,000 \text{ meters} \times 5[/tex]
[tex] \sf \rightarrow 5 \text{ km} = 5,000 \text{ meters}[/tex]
Next, compare the two measurements:
[tex] \sf \rightarrow \frac{100 \cancel{meters}}{5,000 \cancel{meters}}[/tex]
Simplify this fraction by dividing both the numerator and the denominator by 100:
[tex] \sf \rightarrow \frac{100}{5000} = \frac{1}{50} [/tex]
Thus, the ratio is 1:50.