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

Answer:

The bar should be placed $23\frac{1}{24} cm$ from the each edge of the door.

Step-by-step explanation:

Length of the towel bar  $24\frac{1}{4} cm$

Width of the door = $70\frac{1}{3} cm$

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

$2x+24\frac{1}{4} cm=70\frac{1}{3} cm$

$2x+\frac{97}{4} cm=\frac{211}{3} cm$

$2x=\frac{211}{3} cm-\frac{97}{4}cm$

$2x=\frac{211\times 4)-(97\times 3)}{3\times 4} cm$

$2x=\frac{553}{12} cm$

$x=\frac{553}{24}=23\frac{1}{24} cm$

The bar should be placed $23\frac{1}{24} cm$ from the each edge of the door.

Answer 2

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