Answer
$\frac{1}{0}$ is undefined because it cannot be determined to be a number and $\frac{0}{0}$ undefined because there are infinitely many solutions
Work Step by Step
For the first case:
Suppose $\frac{a}{0}=n$ and a is a nonzero number
Therefore $n*0=a$ Therefore the only possible solution for a is 0 hence there is no solution
For the second case:
Suppose $\frac{0}{0}=n$
Therefore $0=n*0$ This means that n could be a number meaning the solution is undefinable.