25/2•5/5:5/7

To solve the expression \( \frac{25}{2} \cdot \frac{5}{5} \div \frac{5}{7} \), follow these steps:

1. Simplify \( \frac{5}{5} \) to 1: \[ \frac{25}{2} \cdot 1 \div \frac{5}{7} \]

2. Perform the division by multiplying by the reciprocal: \[ \frac{25}{2} \cdot 1 \cdot \frac{7}{5} = \frac{25 \cdot 7}{2 \cdot 5} \]

3. Simplify the fraction: \[ = \frac{175}{10} = \frac{35}{2} = 17.5 \]

The final result is \( 17.5 \).