3/(2×3/5)

To simplify the expression \( \frac{3}{\left(2 \times \frac{3}{5}\right)} \), follow these steps: 1. First, calculate the denominator: \( 2 \times \frac{3}{5} \): \[ 2 \times \frac{3}{5} = \frac{2 \times 3}{5} = \frac{6}{5} \] 2. Now substitute this back into the original expression: \[ \frac{3}{\frac{6}{5}} \] 3. To divide by a fraction, multiply by its reciprocal: \[ \frac{3}{\frac{6}{5}} = 3 \times \frac{5}{6} = \frac{3 \times 5}{6} = \frac{15}{6} \] 4. Finally, simplify \( \frac{15}{6} \): \[ \frac{15}{6} = \frac{5}{2} \quad (\text{by dividing both the numerator and the denominator by 3}) \] Thus, the simplified result is: \[ \frac{5}{2} \]