Question

If you want to place 9 3/4 inch towel bar in the center of a door that is 27 1/2 wide, how much space will be on each side of the towel bar?

Answer 1

`8(7)/(8)`

Step-by-step explanation:

It has been given that you want to place
`9(3)/(4)` inch towel bar in the center of a door that is
`27(1)/(2)` wide.

First of all, we will find the total space left on both sides of towel bar by subtracting
`9(3)/(4)` from
`27(1)/(2)`.

`27(1)/(2)-9(3)/(4)`

`(27*2+1)/(2)-(9*4+3)/(4)`

`(54+1)/(2)-(36+3)/(4)`

`(55)/(2)-(39)/(4)`

Let us have a common denominator.

`(55*2)/(2*2)-(39)/(4)`

`(110)/(4)-(39)/(4)`

`(110-39)/(4)`

`(71)/(4)`

Now, we will divide
`(71)/(4)` by 2 to find the space left on each side of the towel bar.

`(71)/(4)/ 2`

`(71)/(4)/ (2)/(1)`

By flipping the second fraction and multiplying by 1st fraction we will get,

`(71)/(4)* (1)/(2)`

`(71)/(8)`

`8(7)/(8)`

Therefore,
`8(7)/(8)` inch of space will be on each side of the towel bar.

Answer 2

The answer is
`11 (5)/(6)` inches

Step 1. Subtract length of the door from the width of the door:

`27 (1)/(2) - 9 (3)/(4) = (55)/(2) - (39)/(4) =(110)/(4) - (39)/(4)= (71)/(4)`

Step 2. You want the same space to be on each side of the bar. So, divide the difference from step 1 by 2:

`(71)/(4) : 2 = (71)/(4) : (2)/(1) =(71)/(4) * (1)/(2)= (71)/(6) = (66+5)/(6)= (66)/(6)+ (5)/(6)=11 (5)/(6)`