Final answer:
To express 8.85 km as a fraction in its lowest terms of 5000m, convert 8.85 km to meters, find the GCD of 8850 and 5000, divide both numbers by the GCD, and reduce the fraction to its lowest terms. The answer is 177/100.
Step-by-step explanation:
To express 8.85 km as a fraction in its lowest terms of 5000m, we need to convert 8.85 km to meters and then find the lowest terms with 5000m. Since 1 km is equal to 1000m, 8.85 km is equal to 8850m. To find the lowest terms, we need to divide both the numerator and denominator by their greatest common divisor (GCD). The GCD of 8850 and 5000 is 250, so dividing both numbers by 250 gives us 35/20. Further reducing this fraction to its lowest terms gives us 7/4. Therefore, the correct answer is 177/100.