Question

a path in a park is 15 kilometers long. a trash bin is placed every \\(\frac{1}{3}\\) kilometer. how many trash bins are there along the path? \\(\bigcirc\\) a. 5 \\(\bigcirc\\) b. 20 \\(\bigcirc\\) c. 45 \\(\bigcirc\\) d. 75

Explanation:

Step1: Understand the core calculation

To find the number of bins, divide total path length by the distance between each bin.

Step2: Set up the division

$$15 \div \frac{1}{3}$$

Step3: Rewrite division as multiplication

Dividing by a fraction is multiplying by its reciprocal:
$$15 \times 3$$

Step4: Calculate the result

$$15 \times 3 = 45$$

Answer:

C. 45