(9×5/6)²

To calculate \((9 \times \frac{5}{6})^2\), we first need to solve the expression inside the parentheses:

1. Calculate \(9 \times \frac{5}{6}\): \[ 9 \times \frac{5}{6} = \frac{9 \times 5}{6} = \frac{45}{6} = \frac{15}{2} \]

2. Now, square the result: \[ \left(\frac{15}{2}\right)^2 = \frac{15^2}{2^2} = \frac{225}{4} \]

So, \((9 \times \frac{5}{6})^2 = \frac{225}{4}\).