Converting the mixed fraction into an improper fraction we get:
[tex]2\frac{4}{5}=\frac{10}{5}+\frac{4}{5}=\frac{14}{5}.[/tex]Side note:
Recall that:
[tex]\frac{\frac{a}{b}}{c}=\frac{\frac{a}{b}}{\frac{c}{1}}=\frac{1\cdot a}{c\cdot b}\text{.}[/tex]Example:
[tex]\frac{\frac{5}{6}}{7}=\frac{\frac{5}{6}}{\frac{7}{1}}=\frac{1\cdot5}{7\cdot6}=\frac{5}{42}\text{.}[/tex]End of note.
Dividing by 2 we get:
[tex]\frac{\frac{14}{5}}{2}=\frac{14}{2\cdot5}=\frac{2\cdot7}{2\cdot5}=\frac{7}{5}\text{.}[/tex]Therefore Martin pours
[tex]\frac{7}{5}\text{quarts}[/tex]of juice into each bottle.
Answer:
[tex]\frac{7}{5}\text{quarts}[/tex]