Rob owns \( \frac{3}{7} \) of the stock in a local bread company. His sister Talia owns half as much stock as Rob. What part of the stock is owned by neither Rob nor Talia? There is \( \square \) of the stock that is owned by neither Rob nor Talia. 0 of 1 (Type an integer or a simplified fraction.)

Let's dive into it! Rob owns \( \frac{3}{7} \) of the stock, and Talia owns half of that amount. To find Talia's share, we calculate: \[ \text{Talia's stock} = \frac{1}{2} \times \frac{3}{7} = \frac{3}{14} \] Next, we need to find the total stock owned by both Rob and Talia: \[ \text{Total owned by Rob and Talia} = \frac{3}{7} + \frac{3}{14} \] To add these fractions, we need a common denominator, which is 14: \[ \frac{3}{7} = \frac{6}{14} \] So, \[ \text{Total stock owned} = \frac{6}{14} + \frac{3}{14} = \frac{9}{14} \] Now, to find the part of the stock owned by neither Rob nor Talia, we subtract the total they own from the whole stock (which is represented by 1, or \( \frac{14}{14} \)): \[ \text{Stock owned by neither} = 1 - \frac{9}{14} = \frac{14}{14} - \frac{9}{14} = \frac{5}{14} \] Thus, the part of the stock that is owned by neither Rob nor Talia is \( \frac{5}{14} \).