Finding the Opposite Number of -4/3: Step-by-Step Solution

To solve the problem of finding the opposite number of $-\frac{4}{3}$, we'll follow these steps:

• Step 1: Determine the reciprocal of the number.
• Step 2: Change the sign of the resulting fraction to obtain the opposite number.

Let's work through each step in detail:

Step 1: The number given is $-\frac{4}{3}$. To find its reciprocal, we invert the fraction, which switches the numerator and the denominator. Thus, the reciprocal of $-\frac{4}{3}$ is $-\frac{3}{4}$.

Step 2: To find the opposite number, we must consider the sign change. The negative sign indicates the number is negative. Therefore, the opposite number, obtained by switching the sign, remains $-\frac{3}{4}$, as a reciprocal operation already applied the sign change incorporation.

Therefore, the opposite number of $-\frac{4}{3}$ is $-\frac{3}{4}$.