Solution:
From given,
[tex]Total\ gallons = 4\frac{5}{6}\ gallons = \frac{29}{6}\ gallons[/tex]
Also given that,
[tex]James\ drank = 1\frac{1}{3} = \frac{4}{3}\ gallons\\\\Gilbert\ drank = \frac{5}{6}\ gallons\\\\Mathew\ drank = 1\frac{1}{2} = \frac{3}{2}\ gallons\\\\Simon\ drank = \frac{2}{3}\ gallons[/tex]
How much water did the boys have left at the end of the day?
[tex]Gallons\ left = Total\ gallons - (James + gilbert + mathew + simon)[/tex]
[tex]Gallons\ left = \frac{29}{6} - (\frac{4}{3} + \frac{5}{6} + \frac{3}{2} + \frac{2}{3})\\\\Gallons\ left = \frac{29}{6} - (\frac{6}{3} + \frac{5}{6} + \frac{3}{2})\\\\Gallons\ left = \frac{29}{6} - (\frac{12 + 5 + 9}{6})\\\\Gallons\ left = \frac{29}{6} - \frac{26}{6}\\\\Gallons\ left = \frac{29 - 26}{6}\\\\Gallons\ left = \frac{3}{6}\\\\Gallons\ left = \frac{1}{2} = 0.5[/tex]
Thus 0.5 gallons of water is left at the end of day