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

Step-by-step explanation:

Given 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.)

• Given A towel bar is 24 1 / 4 cm long and the width of a door is 70 1/3 cm.. We need to find the distance of the bar from each edge of the door.
• Now we need to subtract the length of towel bar from width of the door.
• So 70 1/3 – 24 ¼
• = 211 / 3 – 97 / 4 by converting mixed fraction
• = 844 – 291 / 12
• = 553 / 12
• We need to place this in the centre of the door which is half the length on each side of the towel bar.
• So 553 / 12 / 2
•    = 553 / 24
•   = 23 1 / 24 cm
• Therefore the bar needs to be placed 23 1 / 24 cm from each edge of the door

Answer 2

$\fontsize{18}{10}{\textup{\textbf{Bar should be at 23 1/24 cm from each side}}}$

Step-by-step explanation:

Let the gap on each side be x cm

So

x+24 1/4 +x= 70 1/3

=>2x= 211/3- 97/4

=>2x= (844-291)/12

=>x=553/24

=>x=23 1/24

So the required gap is 23 1/4