What is the ratio of 71.25 inches to 23.75 feet?

What is the ratio of 71.25 inches to 23.75 feet?

• A. 1 to 3
• B. 1 to 4
• C. 2 to 5
• D. 4 to 1

Answer: (B)

To compare these lengths, put both in the same unit and then simplify the resulting ratio. Convert 23.75 feet to inches: 23.75 × 12 = 285 inches. Now the ratio becomes 71.25 inches to 285 inches, written as 71.25:285. Simplify by dividing both numbers by their greatest common factor. Since 71.25 × 4 = 285, you can divide both sides by 71.25 to get 1:4. An equivalent way is to multiply by 100 to get 7125:28500 and divide by 7125, which also yields 1:4. So the ratio is 1 to 4.

To compare these lengths, put both in the same unit and then simplify the resulting ratio. Convert 23.75 feet to inches: 23.75 × 12 = 285 inches. Now the ratio becomes 71.25 inches to 285 inches, written as 71.25:285.

Simplify by dividing both numbers by their greatest common factor. Since 71.25 × 4 = 285, you can divide both sides by 71.25 to get 1:4. An equivalent way is to multiply by 100 to get 7125:28500 and divide by 7125, which also yields 1:4.

So the ratio is 1 to 4.