Find the Inverse Number of -8/7: Fraction Operations

To determine the opposite number of $-\frac{8}{7}$, we need to understand what the opposite of a number means in mathematics.

The opposite of a number is simply a number with the same magnitude but the opposite sign. For any real number $a$, its opposite is $-a$. When $a$ is already negative, its opposite is positive.

Given the number $-\frac{8}{7}$, we will apply the following steps:

• Identify the sign and magnitude: The given number is $-\frac{8}{7}$, a negative fraction.
• Apply sign change: The opposite is simply the positive version of $-\frac{8}{7}$, which is $\frac{8}{7}$.

Thus, the opposite of $-\frac{8}{7}$ is $\frac{8}{7}$.

Therefore, the correct answer is $\frac{8}{7}$.