To simplify the expression \( 33:9 \cdot 10 \), we can break it down into steps.
Division: First, compute \( 33 \div 9 \). \[ 33 \div 9 = 3.6667 \quad (\text{approximately, as a decimal}) \] or as a fraction, \[ 33 \div 9 = \frac{33}{9} = \frac{11}{3} \quad (\text{simplified}) \]
Multiplication: Now, we can multiply the result by 10. \[ 3.6667 \cdot 10 = 36.667 \quad (\text{approximately}) \] or, \[ \frac{11}{3} \cdot 10 = \frac{110}{3} \quad (\text{as a fraction}) \approx 36.6667 \]
So, the final result is approximately \( 36.67 \) or \( \frac{110}{3} \) as a fraction.