Final answer:
The comparison of 20 feet to 38 yards, when converted to the same unit and reduced to lowest terms, is a ratio of 10:57.
Step-by-step explanation:
To write the comparison of 20 feet to 38 yards as a ratio reduced to lowest terms, we must first convert both measurements to the same unit. There are 3 feet in a yard, so 38 yards is equivalent to 38 x 3 = 114 feet. Now the ratio is 20 feet to 114 feet.
We can reduce this ratio by dividing both numbers by the greatest common divisor. The greatest common divisor of 20 and 114 is 2. Thus, 20 ÷ 2 = 10, and 114 ÷ 2 = 57. Therefore, the ratio of 20 feet to 38 yards, reduced to lowest terms, is 10:57.