Answer:
[tex]Total\ amount\ of\ paint\ mike\ mixes\ is\ \frac{19}{24}\ gallons[/tex]
Step-by-step explanation:
As given
[tex]Mike\ is\ mixing\ paint\ for\ his\ walls.[/tex]
[tex]He\ mixes\ \frac{1}{6}\ gallon\ blue\ paint\ and\ \frac{5}{8} \ gallon\ green\ paint\ in\ a\ large\ container.[/tex]
Thus
[tex]Total\ amount\ of\ paint\ mike\ mixes = \frac{1}{6} + \frac{5}{8}[/tex]
L.C.M of (6,8) = 24
Than
[tex]Total\ amount\ of\ paint\ mike\ mixes = \frac{1\times 4 + 5\times 3}{24}[/tex]
[tex]Total\ amount\ of\ paint\ mike\ mixes = \frac{4+ 15}{24}[/tex]
[tex]Total\ amount\ of\ paint\ mike\ mixes = \frac{19}{24}\ gallons[/tex]
