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

`(13)/(16)`

Explanation:

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

So multiply it out:

`(1)/(2)*(1)/(8)=(1)/(16)` This is the amount of stock that Talia uses.

Now covert:

`(1)/(8)=(2)/(16)` This is how much Rob owns.

Now add:

`(2)/(16)+(1)/(16)=(3)/(16)`

Since you cannot simplify, the answer would be

`(3)/(16)`.

Now subtract
`(3)/(16)` from the possible value.

`(16)/(16) -(3)/(16)` and you get
`(13)/(16)`. This is the portion that they both don't share.

Hope it Helps!

Answer 2

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

13/16

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