What is the ratio of 10 feet to 30 inches?

To determine the ratio of 10 feet to 30 inches, it is essential first to convert the measurements to the same unit. Since 1 foot equals 12 inches, 10 feet can be converted to inches by multiplying by 12:

10 feet × 12 inches/foot = 120 inches.

Now, the ratio of 120 inches (from 10 feet) to 30 inches can be expressed as:

120 inches : 30 inches.

Next, simplifying this ratio involves dividing both numbers by the greatest common factor. The greatest common factor of 120 and 30 is 30:

120 ÷ 30 = 4, and

30 ÷ 30 = 1.

Therefore, the simplified ratio is 4:1. This shows that for every 4 parts of the original measurement (10 feet), there is 1 part of the second measurement (30 inches). Thus, the ratio of 10 feet to 30 inches is correctly expressed as 4:1.