8 a. \( 6 \cdot \frac{1}{4}= \) 8 b. \( 6 \cdot 4= \) 8 c. \( 1 \cdot \frac{4}{6}= \) 8 d. \( 6 \div \frac{1}{4}= \) 8 e. \( 6 \div 4= \) Ben has

Calculate the value by following steps: - step0: Calculate: \(\frac{6}{4}\) - step1: Reduce the fraction: \(\frac{3}{2}\) Calculate or simplify the expression \( 6 * 4 \). 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 \( 1 * (4/6) \). 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: \(\frac{6}{\frac{1}{4}}\) - step1: Multiply by the reciprocal: \(6\times 4\) - step2: Multiply the numbers: \(24\) Let's solve each part step by step: ### 8 a. \( 6 \cdot \frac{1}{4} \) To calculate this, we multiply 6 by \(\frac{1}{4}\): \[ 6 \cdot \frac{1}{4} = \frac{6}{4} = \frac{3}{2} = 1.5 \] ### 8 b. \( 6 \cdot 4 \) Here, we simply multiply 6 by 4: \[ 6 \cdot 4 = 24 \] ### 8 c. \( 1 \cdot \frac{4}{6} \) For this calculation, we multiply 1 by \(\frac{4}{6}\): \[ 1 \cdot \frac{4}{6} = \frac{4}{6} = \frac{2}{3} \approx 0.6667 \] ### 8 d. \( 6 \div \frac{1}{4} \) Dividing by a fraction is the same as multiplying by its reciprocal: \[ 6 \div \frac{1}{4} = 6 \cdot 4 = 24 \] ### 8 e. \( 6 \div 4 \) Finally, we divide 6 by 4: \[ 6 \div 4 = \frac{6}{4} = \frac{3}{2} = 1.5 \] ### Summary of Results: - **8 a:** \( 1.5 \) - **8 b:** \( 24 \) - **8 c:** \( \frac{2}{3} \) or approximately \( 0.6667 \) - **8 d:** \( 24 \) - **8 e:** \( 1.5 \) If you have any further questions or need additional calculations, feel free to ask!