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!