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.)

Respuesta :

Answer:

The bar should be placed at the distance of [tex]23\frac{1}{24}[/tex]from each edge of the door.

Step-by-step explanation:

Given:

Length of the towel bar  = 24 1⁄4 centi-meters

Length of the door = 70 1⁄3 centi-meters

To Find:

How far should you place the bar from each edge of the door =?

Solution:

Step 1: Lets find the difference in length between the door and towel bar

=>[tex]70 \frac{1}{3} - 24 \frac{1}{4}[/tex]

=>[tex]\frac{211}{3} - \frac{97}{4}[/tex]

=>[tex]\frac{(211 \times 4) - (97 \times 3)}{ 4 \times 3}[/tex]

=>[tex]\frac{(844) - (291)}{ 12}[/tex]

=>[tex]\frac{553}{ 12}[/tex]

Step 2: Lets divide the value by 2 to find the distance from each edge of the door

=>[tex]\frac{\frac{553}{ 12}}{2}[/tex]

=>[tex]\frac{553}{12} \times \frac{1}{2}[/tex]

=>[tex]\frac{553}{24}[/tex]

=>[tex]23\frac{1}{24}[/tex]