https://file.aiquickdraw.com/mathbot/file/17260725341375m8zl2rn.jpg

Let's analyze the two questions in the image you provided:

### Question 1:
**What is the additive inverse of \(-\frac{2}{3}\)?**

- The additive inverse of a number is the number that, when added to the original number, results in 0.
- For \(-\frac{2}{3}\), its additive inverse is \(\frac{2}{3}\).

So, the correct answer is **\(\frac{2}{3}\)**, which is the second option in the list.

### Question 2:
**What is the additive inverse of \(3 \frac{1}{4}\)?**

- First, convert the mixed fraction into an improper fraction:
  \[
  3 \frac{1}{4} = \frac{13}{4}
  \]
- The additive inverse of \(\frac{13}{4}\) is \(-\frac{13}{4}\).

So, the correct answer is **\(-3 \frac{1}{4}\)**, which is the second option in the list.

Would you like more details on any of these steps?

### Here are 5 related questions to explore:
1. What is the additive inverse of \(\frac{7}{5}\)?
2. How do you find the additive inverse of a mixed number like \(4 \frac{2}{3}\)?
3. What is the additive inverse of a negative mixed number, such as \(-2 \frac{1}{3}\)?
4. Can a whole number have an additive inverse? What would it be for the number 8?
5. What is the additive inverse of \( -\frac{5}{6} + \frac{3}{2} \)?

### Tip:
To find the additive inverse of a mixed number, always convert it to an improper fraction first for simpler calculations!

What is the additive inverse of -2/3 and 3 1/4?

Learn how to find the additive inverse of the fraction -2/3 and the mixed number 3 1/4. This solution provides a step-by-step explanation, perfect for students in grades 6-8.

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