Question

ellies soccer team has a tournament this weekend, and she is hosting a pasta party tonight. ellie cooks the spaghetti in advance and makes 3 1/2 cups. each serving is 3/4 of a cup of cooked spaghetti. how many servings of spaghetti does she have? use the model to help answer the question. write your answer as a whole number, proper fraction, or mixed number.

Explanation:

Step1: Convert mixed - number to improper fraction

$3\frac{1}{2}=\frac{3\times2 + 1}{2}=\frac{7}{2}$

Step2: Divide total amount by serving size

We need to find $\frac{7}{2}\div\frac{3}{4}$. According to the rule of dividing fractions $\frac{a}{b}\div\frac{c}{d}=\frac{a}{b}\times\frac{d}{c}$, so $\frac{7}{2}\div\frac{3}{4}=\frac{7}{2}\times\frac{4}{3}$.

Step3: Calculate the product

$\frac{7}{2}\times\frac{4}{3}=\frac{7\times4}{2\times3}=\frac{28}{6}=\frac{14}{3}=4\frac{2}{3}$

Answer:

$4\frac{2}{3}$