To simplify the expression \( \frac{9 \times 10 \times 10 \times 10}{10 \times 10 \times 10 \times 10} \), we can first observe that the \( 10 \times 10 \times 10 \) in the numerator and the \( 10 \times 10 \times 10 \times 10 \) in the denominator share common factors.
This simplifies to: \[ \frac{9 \times 10^3}{10^4} \] We can cancel \( 10^3 \) from the numerator and the denominator: \[ \frac{9}{10} \]
So, the simplified result is: \[ \frac{9}{10} \]