Simplifying binomial quotients

Compute. $\frac{\binom{n+1}{k}}{\binom{n}{k}}=\frac{(n+1)!}{k!(n+1-k)!}\cdot\frac{k!(n-k)!}{n!}=\frac{n+1}{n+1-k}$.

Conclusion. The quotient is $\frac{n+1}{n+1-k}$.