Simplify \( \frac{81}{15} \times \frac{30}{9} \)

1. Write the expression as a single fraction: \[ \frac{81}{15} \times \frac{30}{9} = \frac{81 \times 30}{15 \times 9} \] 2. Factor numbers where possible to help cancel common factors: \[ 81 = 9 \times 9,\quad 30 = 2 \times 3 \times 5,\quad 15 = 3 \times 5,\quad 9 = 9 \] 3. Rewrite the expression with these factors: \[ \frac{9 \times 9 \times 2 \times 3 \times 5}{3 \times 5 \times 9} \] 4. Cancel common factors: - Cancel a factor of \(9\) from the numerator and denominator: \[ \frac{9 \times \cancel{9} \times 2 \times 3 \times 5}{3 \times 5 \times \cancel{9}} = \frac{9 \times 2 \times 3 \times 5}{3 \times 5} \] - Cancel a factor of \(3\): \[ \frac{9 \times 2 \times \cancel{3} \times 5}{\cancel{3} \times 5} = 9 \times 2 = 18 \] 5. The simplified result is: \[ 18 \]