Question

emilios dog eats \\(\frac{3}{2}\\) cups of food in one serving. emilio has a bag with \\(6\frac{1}{2}\\) cups of food. he wants to know how many servings of food are in the bag. how many servings are in the bag? you can use the model to help. there are? full servings, plus? of a serving.

Explanation:

Step1: Convert mixed numbers to improper fractions

$6\frac{1}{2} = \frac{13}{2}$, $\frac{3}{2}$ remains as is

Step2: Divide total food by serving size

$\text{Total servings} = \frac{13}{2} \div \frac{3}{2} = \frac{13}{2} \times \frac{2}{3} = \frac{13}{3}$

Step3: Split into whole and fractional parts

$\frac{13}{3} = 4 + \frac{1}{3}$

Answer:

There are 4 full servings, plus $\frac{1}{3}$ of a serving.