Answer:
[tex]4\frac{2}{3}[/tex] guests.
Step-by-step explanation:
We have been given that there are 7/8 quarts of orange juice. Mrs. Mathewson would like to serve her guests 3/16 quarts orange juice.
To find the number of guests Mrs. Mathewson can serve with 7/8 quarts of juice, we will divide 7/8 by 3/16 as:
[tex]\text{Number of guests Mrs. Mathewson can serve}=\frac{7}{8}\div\frac{3}{16}[/tex]
Convert to multiplication problem by flipping the 2nd fraction:
[tex]\text{Number of guests Mrs. Mathewson can serve}=\frac{7}{8}\times\frac{16}{3}[/tex]
[tex]\text{Number of guests Mrs. Mathewson can serve}=\frac{7}{1}\times\frac{2}{3}[/tex]
[tex]\text{Number of guests Mrs. Mathewson can serve}=\frac{14}{3}[/tex]
[tex]\text{Number of guests Mrs. Mathewson can serve}=4\frac{2}{3}[/tex]
Therefore, Mrs. Mathewson can serve orange juice to [tex]4\frac{2}{3}[/tex] guests.