Question

You want to place a towel bar that is 24 1⁄4 centimeters long in the center of a door that is 70 1⁄3 centimeters wide. How far should you place the bar from each edge of the door? (Write the answer as a mixed number.)

Answer 1

70 1/3- 24 1/4=?
70 4/12- 24 3/12= 46 1/12
46 1/12 /2= 23 1/24

Answer 2

The bar should be placed
`23(1)/(24) cm` from the each edge of the door.

Explanation:

Length of the towel bar
`24(1)/(4) cm`

Width of the door =
`70(1)/(3) cm`

Let the distance from the edge of the door to bar be x.

`2x+24(1)/(4) cm=70(1)/(3) cm`

`2x+(97)/(4) cm=(211)/(3) cm`

`2x=(211)/(3) cm-(97)/(4)cm`

`2x=(211* 4)-(97* 3))/(3* 4) cm`

`2x=(553)/(12) cm`

`x=(553)/(24)=23(1)/(24) cm`

The bar should be placed
`23(1)/(24) cm` from the each edge of the door.