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The question asks for the additive inverse of \( \frac{3}{8} \). The additive inverse of a number \( x \) is the number that, when added to \( x \), equals zero. For any fraction \( \frac{a}{b} \), its additive inverse is \( -\frac{a}{b} \).

Given:
\[
\text{The additive inverse of } \frac{3}{8} \text{ is } -\frac{3}{8}.
\]

Now, let's look at the provided options in the image:
1. \( -\frac{3}{8} \) (This is the correct answer)
2. \( \frac{8}{3} \) (Incorrect; this is the reciprocal, not the additive inverse)
3. \( 8/3 \) (Same as option 2, incorrect)

Thus, the correct answer is the first option: \( -\frac{3}{8} \).

Would you like further details or have any questions?

Here are some related questions:
1. What is the additive inverse of a negative fraction?
2. How do you find the multiplicative inverse of a fraction?
3. What is the difference between an additive inverse and a multiplicative inverse?
4. Can the additive inverse of zero be defined?
5. How would you add two fractions with different denominators?

**Tip:** The additive inverse of a positive number is simply its negative counterpart, and vice versa.

Understand how to find the additive inverse of the fraction 3/8, a fundamental concept in basic arithmetic and algebra. Learn how the additive inverse of any fraction is the negative of that fraction. Suitable for students in Grades 6-8.

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