Answer and Step-by-step explanation:
To determine the ratio of 9.85 km to 5000 m in its lowest terms, we need to convert both measurements to the same unit. Since both kilometers (km) and meters (m) are metric units of length, we can convert kilometers to meters.
1. Convert 9.85 km to meters:
To convert kilometers to meters, we multiply the distance in kilometers by 1000 (since there are 1000 meters in a kilometer).
9.85 km * 1000 = 9850 m
So, 9.85 km is equal to 9850 meters.
2. Now we have 9850 m to 5000 m as a ratio.
To express this ratio in its lowest terms, we need to find the greatest common divisor (GCD) of the two numbers and divide both numbers by it.
The GCD of 9850 and 5000 is 250.
Dividing both numbers by 250:
9850 ÷ 250 = 39
5000 ÷ 250 = 20
Therefore, the ratio of 9.85 km to 5000 m in its lowest terms is 39:20.