To simplify the expression \( \frac{54}{45} \times 9 \times 15 \), we can follow these steps:
Simplify \( \frac{54}{45} \):
- The greatest common divisor (GCD) of 54 and 45 is 9.
- \( \frac{54 \div 9}{45 \div 9} = \frac{6}{5} \)
Now substitute back into the expression: \[ \frac{6}{5} \times 9 \times 15 \]
Multiply \( \frac{6}{5} \) by 9: \[ \frac{6 \times 9}{5} = \frac{54}{5} \]
Multiply \( \frac{54}{5} \) by 15: \[ \frac{54 \times 15}{5} = \frac{810}{5} = 162 \]
Thus, \( \frac{54}{45} \times 9 \times 15 = 162 \).
