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Solution: We find the prime factorizations of 96 and 144:
Question: A bird flies 3.6 kilometers on day one and 5.4 kilometers on day two of its migration. What is the average distance flown per day, in kilometers?
Solution: To find the average, we add the two distances and divide by 2:
Question: A sustainability project calls for groups of 18 and 27 participants. What is the least common multiple of 18 and 27, representing the smallest number of participants needed so both group sizes can be evenly fulfilled?
Solution: We find the prime factorizations:
The LCM includes the highest powers of all primes:
Question: A sustainability expert is dividing 120 liters of rainwater and 180 liters of recycled water into identical measures. What is the largest capacity, in liters, that each measure can have to ensure no water is wasted?
Solution: We find the greatest common factor of 120 and 180:
Question: A web developer is testing response times of two servers: one responds in 0.3 seconds and the other in 0.9 seconds. What is the arithmetic mean of the response times, in seconds?
