peter drew a scale drawing of is room with a length of 10 inches.the actual length of his room is 13 1/9 feet.the actual length of his desk is 40 inches.approximately what is the length of the desk in the drawing

Answer 1

We can set up a proportion:

10 inches (drawing) is to x inches (desk length in drawing) as 13 1/9 feet (actual length) is to 40 inches (actual desk length)

10/x = 13 1/9 / 40

First, we need to convert 13 1/9 feet to inches. We know that 1 foot is equal to 12 inches, so:

13 feet = 13 x 12 = 156 inches
1/9 foot = (1/9) x 12 = 4/3 inches
Total: 156 + 4/3 = 157 1/3 inches

Now we can substitute in:

10/x = 157 1/3 / 40

Solving for x:

x = 10 x 40 / 157 1/3

x ≈ 2.55 inches

So the approximate length of the desk in the drawing is 2.55 inches.

Answer 2

whats 2.55 in fraction form

Answer 3

2.55 as a fraction is 255/100, which can be simplified to 51/20.