To solve the expression \( 11 \times 5 \div 33 \times 3 \div 10 \), we can follow the order of operations.
First, calculate \( 11 \times 5 \): \[ 11 \times 5 = 55 \]
Next, divide 55 by 33: \[ 55 \div 33 = \frac{55}{33} = \frac{5}{3} \quad (\text{since } 55 \text{ and } 33 \text{ share a common factor of } 11) \]
Now, multiply by 3: \[ \frac{5}{3} \times 3 = 5 \]
Finally, divide by 10: \[ 5 \div 10 = \frac{5}{10} = \frac{1}{2} \]
Thus, the final result is: \[ \frac{1}{2} \]