Question

rafael has bought 18 pounds of dog food. he feeds his dog \\(\frac{2}{3}\\) pounds for each meal. for how many meals will the food last? write your answer in simplest form.

Explanation:

Step1: Set up division for total meals

To find the number of meals, divide total food by food per meal:
$$18 \div \frac{2}{3}$$

Step2: Rewrite as multiplication by reciprocal

Dividing by a fraction equals multiplying by its reciprocal:
$$18 \times \frac{3}{2}$$

Step3: Calculate the product

Simplify and compute:
$$\frac{18 \times 3}{2} = \frac{54}{2} = 27$$

Answer:

27 meals