Answer:
\(\frac{19}{24}\) 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.
⇒\(\text{He mixes Blue paint} = \frac{1}{6}\) gallons and
\(\text{He mixes green paint} = \frac{5}{8}\) gallons.
We have to find the total amount of paint mike mixes.
\(\text{Total amount of paint he mixes} = \text{He mixes Blue paint} +\text{He mixes green paint}\)
Substitute the given values we have;
\(\text{Total amount of paint he mixes} = \frac{1}{6} + \frac{5}{8} = \frac{8+30}{48}=\frac{38}{48}\)
Simplify:
\(\text{Total amount of paint he mixes} = \frac{19}{24}\)
Therefore, the fraction represents the total amount of paint mike mixes is: \(\frac{19}{24}\)
