the picture will be hung on a wall where the distance from the floor to ceiling is 8 feet. The center of the picure must be 5 1/4 feet from the floor. Determine the distance from the ceiling to the top of the picture frame.
What are the dimensions of the picture? Is it to be hung so that the long side is perpendicular to the floor and ceiling? Or is the short side is perpendicular to the floor and ceiling?
To determine the distance from the ceiling to the top of the picture frame, you need to subtract the distance from the floor to the center of the picture frame (5 1/4 feet) from the total distance from the floor to the ceiling (8 feet).
Let's break down the calculation step by step:
Step 1: Convert 5 1/4 feet to an improper fraction.
5 1/4 feet = (4 * 5 + 1) / 4 = 21/4 feet
Step 2: Subtract the distance from the floor to the center of the picture frame from the total height of the wall.
8 feet - 21/4 feet
To subtract fractions, we need a common denominator. The least common multiple of 4 and 1 is 4.
Step 3: Rewrite 8 feet with a denominator of 4.
8 feet = 8 * (4/4) = 32/4 feet
Now we can subtract the fractions:
32/4 feet - 21/4 feet = (32 - 21) / 4 feet = 11/4 feet
Step 4: Simplify the fraction, if necessary.
11/4 feet can be simplified as a mixed number by dividing the numerator (11) by the denominator (4).
11 รท 4 = 2 with a remainder of 3
Therefore, the distance from the ceiling to the top of the picture frame is 2 3/4 feet.