7 1/7•3 1/2

To multiply the mixed numbers \(7 \frac{1}{7}\) and \(3 \frac{1}{2}\), follow these steps:

1. Convert each mixed number to an improper fraction.

   • For \(7 \frac{1}{7}\): \[ 7 \frac{1}{7} = \left(7 \times 7 + 1\right) / 7 = (49 + 1) / 7 = 50 / 7 \]

   • For \(3 \frac{1}{2}\): \[ 3 \frac{1}{2} = \left(3 \times 2 + 1\right) / 2 = (6 + 1) / 2 = 7 / 2 \]

2. Now multiply the two improper fractions: \[ \frac{50}{7} \times \frac{7}{2} = \frac{50 \times 7}{7 \times 2} = \frac{350}{14} \]

3. Simplify the fraction: \[ \frac{350}{14} = 25 \]

Therefore, \(7 \frac{1}{7} \times 3 \frac{1}{2} = 25\).