Since $\frac{9}{362880}$ and $\frac{1}{362880}$ have the same denominator, add them by adding their numerators.
$$\frac{9+1}{362880}+\frac{1}{10!}$$
Add $9$ and $1$ to get $10$.
$$\frac{10}{362880}+\frac{1}{10!}$$
Reduce the fraction $\frac{10}{362880}$ to lowest terms by extracting and canceling out $10$.
$$\frac{1}{36288}+\frac{1}{10!}$$
The factorial of $10$ is $3628800$.
$$\frac{1}{36288}+\frac{1}{3628800}$$
Least common multiple of $36288$ and $3628800$ is $3628800$. Convert $\frac{1}{36288}$ and $\frac{1}{3628800}$ to fractions with denominator $3628800$.
$$\frac{100}{3628800}+\frac{1}{3628800}$$
Since $\frac{100}{3628800}$ and $\frac{1}{3628800}$ have the same denominator, add them by adding their numerators.
