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 to improper fraction

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

Step2: Divide total 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 + fraction

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

Answer:

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