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Home » Total books = Fiction + Non-fiction + Reference - ClickBalance

Total books = Fiction + Non-fiction + Reference - ClickBalance

📅 May 18, 2026 👤 scraface

May 18, 2026

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📌 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?

📌 Solution: The arithmetic mean is calculated as:

📌 Now factor out the common binomial $ (x - 3) $:

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