To solve the expression \( \frac{11 \times 5}{33} \times \frac{3}{10} \), we can follow the steps below:
Calculate \( 11 \times 5 = 55 \).
Then, substitute this value back into the expression: \[ \frac{55}{33} \times \frac{3}{10} \]
Simplify \( \frac{55}{33} \): \[ \frac{55 \div 11}{33 \div 11} = \frac{5}{3} \]
Now substitute this into the original expression: \[ \frac{5}{3} \times \frac{3}{10} \]
Multiply the numerators and the denominators: \[ \frac{5 \times 3}{3 \times 10} = \frac{15}{30} \]
Simplify \( \frac{15}{30} \): \[ \frac{15 \div 15}{30 \div 15} = \frac{1}{2} \]
Thus, the result of the expression \( \frac{11 \times 5}{33} \times \frac{3}{10} \) is \( \frac{1}{2} \).