Find the Opposite Number: Converting -9⅓ to Its Inverse

To solve the problem of finding the opposite number of $-9\frac{1}{3}$, we will treat the requirement as finding the reciprocal of this number:

Step 1: Convert the mixed number to an improper fraction.

• The mixed number $-9\frac{1}{3}$ implies a sign still applies after conversion. We compute: $-9 = -\frac{27}{3}$, and adding $-\frac{1}{3}$ results in the improper fraction $-\frac{28}{3}$.

Step 2: Find the reciprocal of the improper fraction.

• The reciprocal of $-\frac{28}{3}$ is $-\frac{3}{28}$.

Based on the above steps, the reciprocal of $-9\frac{1}{3}$ is indeed $-\frac{3}{28}$.

Thus, the opposite number of $-9\frac{1}{3}$, interpreted as its reciprocal, is $-\frac{3}{28}$.