You need to know:
[tex]a \frac{b}{c} = a + \frac{b}{c} = \frac{(a*c) + b}{c}[/tex]
Be careful though:
[tex]a \frac{b}{c} ≠ a(\frac{b}{c})[/tex]
Using this principle, we can say:
12 1/3 = 37/3
3 2/3 = 11/3
Quantity of juice left = Initial quantity - Quantity drunk
So:
Quantity of juice left = 37/3 - 11/3 = 26/3
There will be 26/3 ounces of juice remaining after 3 2/3 are drunk from the total of 12 1/3 ounces that Deacon had initially.