Question

Rob owns 1/8 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?
Please show work so I can use it as a visual for my next question on homework please!

Answer 1

Answer: The part of the stock owned by neither Rob nor​ Talia is

13/16

Step-by-step explanation:

Let the total stock in the local bread company be represented by x

Rob owns 1/8 of the stock in the local bread company. This means that the amount of stock owned by Rob is 1/8 × x = x/8

His sister Talia owns half as much stock as Rob. This means that the amount of stock owned by Talia would be 1/2 × x/8 = x/16

Total part of the stock owned by Talia and Rob would be

x/8 + x/16 = (2x+x)/16 = 3x/16

The part of the stock owned by neither Rob nor​ Talia will be the total stock minus the part of the stock owned by Rob and Talia.

It becomes

x - 3x/16 = (16x - 3x)/16 = 13x/16

Answer 2

Answer:

$\frac{13}{16}$

Step-by-step explanation:

1/2 of 1/8 is the same thing as 1/2*1/8.

So multiply it out:

$\frac{1}{2}*\frac{1}{8}=\frac{1}{16}$ This is the amount of stock that Talia uses.

Now covert:

$\frac{1}{8}=\frac{2}{16}$ This is how much Rob owns.

Now add:

$\frac{2}{16}+\frac{1}{16}=\frac{3}{16}$

Since you cannot simplify, the answer would be

$\frac{3}{16}$.

Now subtract $\frac{3}{16}$ from the possible value.

$\frac{16}{16} -\frac{3}{16}$ and you get $\frac{13}{16}$. This is the portion that they both don't share.

Hope it Helps!