Question

Martin has 2 4/5 quarts of juice. He pours the same amount of juice into 2 bottles. How much does he pour into each bottle? Can you show this by step by step?

Answer 1

Converting the mixed fraction into an improper fraction we get:

$2\frac{4}{5}=\frac{10}{5}+\frac{4}{5}=\frac{14}{5}.$

Side note:

Recall that:

$\frac{\frac{a}{b}}{c}=\frac{\frac{a}{b}}{\frac{c}{1}}=\frac{1\cdot a}{c\cdot b}\text{.}$

Example:

$\frac{\frac{5}{6}}{7}=\frac{\frac{5}{6}}{\frac{7}{1}}=\frac{1\cdot5}{7\cdot6}=\frac{5}{42}\text{.}$

End of note.

Dividing by 2 we get:

$\frac{\frac{14}{5}}{2}=\frac{14}{2\cdot5}=\frac{2\cdot7}{2\cdot5}=\frac{7}{5}\text{.}$

Therefore Martin pours

$\frac{7}{5}\text{quarts}$

of juice into each bottle.

Answer:

$\frac{7}{5}\text{quarts}$