Answer:
[tex]Number = 11\frac{1}{4}[/tex]
Step-by-step explanation:
Given
[tex]Soup = 7\frac{1}{2}[/tex] quarts
[tex]Portion = \frac{2}{3}[/tex] quarts
Required
Determine the number of portions in the soup
The question illustrates division of fractions and to solve this question, we simply divide the size of the soup by the size of the given portion
[tex]Number = Soup/Portion[/tex]
Substitute values for Soup and Portion
[tex]Number = 7\frac{1}{2}\ quarts /\frac{2}{3} \ quarts[/tex]
[tex]Number = 7\frac{1}{2}/\frac{2}{3}[/tex]
Convert mixed fraction to improper fraction
[tex]Number = \frac{15}{2}/\frac{2}{3}[/tex]
[tex]Number = \frac{15}{2} * \frac{3}{2}[/tex]
[tex]Number = \frac{15*3}{2*2}[/tex]
[tex]Number = \frac{45}{4}[/tex]
[tex]Number = 11\frac{1}{4}[/tex]
Hence, there are [tex]11\frac{1}{4}[/tex] of [tex]\frac{2}{3}[/tex] quarts in [tex]7\frac{1}{2}[/tex] quarts of soup
