To divide 85 by \( \frac{3}{5} \), you can multiply 85 by the reciprocal of \( \frac{3}{5} \), which is \( \frac{5}{3} \).
\[ 85 \div \frac{3}{5} = 85 \times \frac{5}{3} \]
Now, calculate:
\[ 85 \times \frac{5}{3} = \frac{85 \times 5}{3} = \frac{425}{3} \approx 141.67 \]
So, \( 85 \div \frac{3}{5} = \frac{425}{3} \) or approximately \( 141.67 \).