8a. \( 6 \cdot \frac{1}{4}= \) 8 b. \( 6 \cdot 4=4=0 \) \( 8 c, 1 \times \frac{4}{6}= \) 8 d. \( 6+\frac{1}{4}= \) 8 e. \( 6+4= \)

Calculate the value by following steps: - step0: Calculate: \(6\times 4\) - step1: Multiply the numbers: \(24\) Calculate or simplify the expression \( 6 * (1/4) \). Calculate the value by following steps: - step0: Calculate: \(6\times \frac{1}{4}\) - step1: Reduce the numbers: \(3\times \frac{1}{2}\) - step2: Multiply: \(\frac{3}{2}\) Calculate or simplify the expression \( 6 + 4 \). Calculate the value by following steps: - step0: Calculate: \(6+4\) - step1: Add the numbers: \(10\) Calculate or simplify the expression \( 1 * (4/6) \). Calculate the value by following steps: - step0: Calculate: \(1\times \left(\frac{4}{6}\right)\) - step1: Reduce the fraction: \(1\times \frac{2}{3}\) - step2: Multiply: \(\frac{2}{3}\) Calculate or simplify the expression \( 6 + (1/4) \). Calculate the value by following steps: - step0: Calculate: \(6+\frac{1}{4}\) - step1: Reduce fractions to a common denominator: \(\frac{6\times 4}{4}+\frac{1}{4}\) - step2: Transform the expression: \(\frac{6\times 4+1}{4}\) - step3: Multiply the numbers: \(\frac{24+1}{4}\) - step4: Add the numbers: \(\frac{25}{4}\) Here are the solutions to each part of the problem: ### 8a. \( 6 \cdot \frac{1}{4} \) To calculate this, we multiply 6 by \(\frac{1}{4}\): \[ 6 \cdot \frac{1}{4} = \frac{6}{4} = \frac{3}{2} = 1.5 \] ### 8b. \( 6 \cdot 4 \) This is a straightforward multiplication: \[ 6 \cdot 4 = 24 \] ### 8c. \( 1 \times \frac{4}{6} \) Here, we multiply 1 by \(\frac{4}{6}\): \[ 1 \cdot \frac{4}{6} = \frac{4}{6} = \frac{2}{3} \approx 0.6667 \] ### 8d. \( 6 + \frac{1}{4} \) For this addition, we convert \(\frac{1}{4}\) to a decimal: \[ 6 + \frac{1}{4} = 6 + 0.25 = 6.25 \] ### 8e. \( 6 + 4 \) This is a simple addition: \[ 6 + 4 = 10 \] ### Summary of Results: - **8a:** \( 1.5 \) - **8b:** \( 24 \) - **8c:** \( \frac{2}{3} \) or approximately \( 0.6667 \) - **8d:** \( 6.25 \) - **8e:** \( 10 \)