The question is:
Kelly wants to center the rug in her living room.
The rug is 8 3/4 feet wide. The total width of her
Living room is 12 1/2 feet. How far from each
Wall of her living room should she place her rug?
I did 12 1/2 divided by 8 3/4
So 12 2/4 divided by 8 3/4
50/4 divided by 35/4
1 3/7
So the rug should be 1 3/7 away from each wall
Is this correct ? If not can you please explain
Thank you
No.
Try subtracting as your first step.
If you subtract and divide by 2 will the answer be
1 7/8
Right.
Thank you
You're welcome.
To find the distance between the rug and each wall in Kelly's living room, you'll need to subtract the width of the rug from the total width of the living room and divide the result by 2.
First, let's convert both measurements to a common fraction format.
The width of the rug is 8 3/4 feet. This can be written as 8 + 3/4 or 35/4.
The total width of the living room is 12 1/2 feet, which can be written as 12 + 1/2 or 25/2.
Now, subtract the width of the rug from the total width of the living room:
25/2 - 35/4
To subtract fractions, you need to have a common denominator. The common denominator of 2 and 4 is 4.
25/2 - 35/4 = 50/4 - 35/4 = 15/4
So, the difference between the total width of the living room and the width of the rug is 15/4 feet.
To find the distance from each wall, you need to divide this difference by 2:
(15/4) / 2 = 15/4 * 1/2 = 15/8 = 1 7/8
Therefore, the rug should be placed 1 7/8 feet away from each wall to achieve a centered position in the living room.
Your calculation of 1 3/7 is close, but not quite correct. The correct answer is 1 7/8 feet.