Question

emilio’s 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. image of a rectangle and number line 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 number to improper fraction

The total food is $6\frac{1}{2}$ cups, which is $\frac{6\times2 + 1}{2}=\frac{13}{2}$ cups. One serving is $\frac{3}{2}$ cups.

Step2: Divide total food by serving size

To find the number of servings, we calculate $\frac{13}{2}\div\frac{3}{2}=\frac{13}{2}\times\frac{2}{3}=\frac{13}{3}$.

Step3: Convert improper fraction to mixed number

$\frac{13}{3}=4\frac{1}{3}$, so there are 4 full servings and $\frac{1}{3}$ of a serving.

Answer:

Full servings: $4$, Fraction of a serving: $\frac{1}{3}$