Name the property used in the following:

$\frac{-5}{7}+0=0+\frac{-5}{7}=\frac{-5}{7}$

The additive identity of any rational number is 0, which means that when 0 is added to any rational number, the result is the same number. It is the number that when added to any other number, it doesn't change the number.

Therefore, $\frac{-5}{7}+0=0+\frac{-5}{7}=\frac{-5}{7}$ is under additive identity.