a. One half of a week. b. One quarter of a day. c. One fifth of a decade. d. One third of an hour. e. One half of a century. f. One half of a millennium. g. What fraction is 2 days of 9 weeks? 4\} h. What fraction is 3 months of 9 years? i. What fraction is 15 minutes of an hour?

Calculate the value by following steps: - step0: Calculate: \(\frac{1}{4}\times 24\) - step1: Reduce the numbers: \(1\times 6\) - step2: Simplify: \(6\) Calculate or simplify the expression \( 1/3 * 60 \). Calculate the value by following steps: - step0: Calculate: \(\frac{1}{3}\times 60\) - step1: Reduce the numbers: \(1\times 20\) - step2: Simplify: \(20\) Calculate or simplify the expression \( 15/60 \). Calculate the value by following steps: - step0: Calculate: \(\frac{15}{60}\) - step1: Reduce the fraction: \(\frac{1}{4}\) Calculate or simplify the expression \( 1/2 * 1000 \). Calculate the value by following steps: - step0: Calculate: \(\frac{1}{2}\times 1000\) - step1: Reduce the numbers: \(1\times 500\) - step2: Simplify: \(500\) Calculate or simplify the expression \( 1/2 * 100 \). Calculate the value by following steps: - step0: Calculate: \(\frac{1}{2}\times 100\) - step1: Reduce the numbers: \(1\times 50\) - step2: Simplify: \(50\) Calculate or simplify the expression \( 2/(9*7) \). Calculate the value by following steps: - step0: Calculate: \(\frac{2}{\left(9\times 7\right)}\) - step1: Remove the parentheses: \(\frac{2}{9\times 7}\) - step2: Multiply the numbers: \(\frac{2}{63}\) Calculate or simplify the expression \( 1/2 * 7 \). Calculate the value by following steps: - step0: Calculate: \(\frac{1}{2}\times 7\) - step1: Multiply: \(\frac{7}{2}\) Calculate or simplify the expression \( 1/5 * 10 \). Calculate the value by following steps: - step0: Calculate: \(\frac{1}{5}\times 10\) - step1: Reduce the numbers: \(1\times 2\) - step2: Simplify: \(2\) Calculate or simplify the expression \( 3/(9*12) \). Calculate the value by following steps: - step0: Calculate: \(\frac{3}{\left(9\times 12\right)}\) - step1: Remove the parentheses: \(\frac{3}{9\times 12}\) - step2: Multiply the numbers: \(\frac{3}{108}\) - step3: Reduce the fraction: \(\frac{1}{36}\) Let's break down each part of the problem step by step: ### a. One half of a week A week has 7 days. Therefore, one half of a week is: \[ \frac{1}{2} \times 7 = \frac{7}{2} \text{ days} \quad \text{or} \quad 3.5 \text{ days} \] ### b. One quarter of a day A day has 24 hours. Therefore, one quarter of a day is: \[ \frac{1}{4} \times 24 = 6 \text{ hours} \] ### c. One fifth of a decade A decade has 10 years. Therefore, one fifth of a decade is: \[ \frac{1}{5} \times 10 = 2 \text{ years} \] ### d. One third of an hour An hour has 60 minutes. Therefore, one third of an hour is: \[ \frac{1}{3} \times 60 = 20 \text{ minutes} \] ### e. One half of a century A century has 100 years. Therefore, one half of a century is: \[ \frac{1}{2} \times 100 = 50 \text{ years} \] ### f. One half of a millennium A millennium has 1000 years. Therefore, one half of a millennium is: \[ \frac{1}{2} \times 1000 = 500 \text{ years} \] ### g. What fraction is 2 days of 9 weeks? 9 weeks is equal to \(9 \times 7 = 63\) days. Therefore, the fraction is: \[ \frac{2}{63} \] ### h. What fraction is 3 months of 9 years? 9 years is equal to \(9 \times 12 = 108\) months. Therefore, the fraction is: \[ \frac{3}{108} = \frac{1}{36} \] ### i. What fraction is 15 minutes of an hour? An hour has 60 minutes. Therefore, the fraction is: \[ \frac{15}{60} = \frac{1}{4} \] ### Summary of Results: - a. \(3.5\) days - b. \(6\) hours - c. \(2\) years - d. \(20\) minutes - e. \(50\) years - f. \(500\) years - g. \(\frac{2}{63}\) - h. \(\frac{1}{36}\) - i. \(\frac{1}{4}\)