Final answer:
The ratio of 10 feet to 20 yards, when simplified, is 1:6 after converting yards to feet and then dividing both numbers by the greatest common divisor.
Step-by-step explanation:
To write the ratio of 10 feet to 20 yards in the simplest form, you first convert the measurements to the same unit.
There are 3 feet in a yard, so 20 yards equal 60 feet (20 yards × 3 feet/yard).
The ratio is 10 feet to 60 feet.
Now simplify the ratio by dividing both quantities by the greatest common divisor (GCD), which is 10 in this case.
10 feet : 60 feet = (10 ÷ 10) : (60 ÷ 10
= 1 : 6
So the ratio in its simplest form is 1:6.