Answer:
[tex] \frac{19}{24}[/tex] fraction represents the total amount of paint mike mixes
Step-by-step explanation:
As per the statement:
Mike is mixing paint for his walls. he mixes 1/6 gallon blue paint and 5/8 gallon green paint in a large container.
⇒[tex]\text{He mixes Blue paint} = \frac{1}{6}[/tex] gallons and
[tex]\text{He mixes green paint} = \frac{5}{8}[/tex] gallons.
We have to find the total amount of paint mike mixes.
[tex]\text{Total amount of paint he mixes} = \text{He mixes Blue paint} +\text{He mixes green paint}[/tex]
Substitute the given values we have;
[tex]\text{Total amount of paint he mixes} = \frac{1}{6} + \frac{5}{8} = \frac{8+30}{48}=\frac{38}{48}[/tex]
Simplify:
[tex]\text{Total amount of paint he mixes} = \frac{19}{24}[/tex]
Therefore, the fraction represents the total amount of paint mike mixes is: [tex] \frac{19}{24}[/tex]
