PART A

Camilla has a rectangular print that is 34 inches wide and 26 inches tall. She wants to center it on the wall above the television in her living room. The television is placed i front of a rectangular wall in the living room that is 18 1/2 feet long and 9 3/4 feet tall.
SHOW WORK FOR ANSWER:
ANSWER: To be centered horizontally,, the print must be 7 5/6 feet from each adjoining wall.

PART B
The television reached a height of 4 1/2 feet. What is the number of feet from the ceiling Camilla must hang the print for it to be centered vertically?
SHOW WORK FOR THE ANSWER:
ANSWER: To be centered vertically the print must be 1 13/24 feet from the ceiling and the television.

to be centered, the extra space must be divided into two equal parts.

ok. in the part A the answer is 7 5/6 ft. I don't know how they got there, same with Part B. I need to show the work. When I divided I didn't get the same answer. Please show me.

PART A:

To center the print horizontally, we need to find the distance between the sides of the wall and the sides of the print.

Given:
Width of the print = 34 inches
Width of the wall = 18 1/2 feet

First, we need to convert the width of the print to feet to match the units of the wall width.
1 foot = 12 inches, so 34 inches would be 34/12 = 2.8333 feet.

To find the distance between each adjoining wall and the print, we subtract half the width of the print from half the width of the wall on both sides.

Half the width of the print = 2.8333/2 = 1.4167 feet
Half the width of the wall = (18 1/2)/2 = 9 1/4 = 9.25 feet

Now, we can find the distance between each adjoining wall and the print:
Distance = (9.25 - 1.4167) feet = 7.8333 feet

Converting to a mixed number:
7.8333 = 7 + 0.8333

To express 0.8333 as a fraction:
0.8333 * 10000/10000 = 8333/10000 = 833/1000
Reducing the fraction:
833/1000 = (833/833)/(1000/833) = 1/1.2

So, the distance between each adjoining wall and the print is 7 5/6 feet.

PART B:

To center the print vertically, we need to find the distance between the ceiling and the print.

Given:
Height of the print = 26 inches
Height of the TV = 4 1/2 feet

First, we need to convert the height of the print to feet to match the units of the TV height.
1 foot = 12 inches, so 26 inches would be 26/12 = 2.1667 feet.

To find the distance between the ceiling and the print, we subtract half the height of the print from half the height of the TV.

Half the height of the print = 2.1667/2 = 1.0833 feet
Half the height of the TV = (4 1/2)/2 = 9/4 = 2.25 feet

Now, we can find the distance between the ceiling and the print:
Distance = (2.25 - 1.0833) feet = 1.1667 feet

Converting to a mixed number:
1.1667 = 1 + 0.1667

To express 0.1667 as a fraction:
0.1667 * 10000/10000 = 1667/10000 = 167/1000

So, the distance between the ceiling and the print is 1 13/24 feet.