We are given " The country recreation department cleared a 3/4 mile long walking trail in Washington Park."
Therefore total distance = 3/4 miles.
"There will be a small sign every 1/12 mile along the trail, including at the beginning and end of the trail. "
Distance of small sign = 1/12 mile.
We need to find the number of signs in 3/4 miles each of 1/12 miles.
In order to find the number of signs, we need to divide total distance by distance of a small sign.
3/4 ÷ 1/12
= 3/4 × 12/1 = 3 × 3
= 9 signs.