Answer:
9 signs.
Step-by-step explanation:
We have been given that the county recreation department cleared a 3/4 mile long walking trail in Washington Park. The trail will be marked every 1/12 mile with a small sign. We are asked to find the number of signs needed.
To find the the number of signs needed, we will divide total distance by distance covered by each sign as:
[tex]\text{Sign needed}=\frac{3}{4}\div \frac{1}{12}[/tex]
Covert to division problem by flipping the 2nd fraction:
[tex]\text{Sign needed}=\frac{3}{4}\times \frac{12}{1}[/tex]
[tex]\text{Sign needed}=\frac{3}{1}\times \frac{3}{1}[/tex]
[tex]\text{Sign needed}=9[/tex]
Therefore, 9 signs are needed.