Mike is mixing paint for his walls. he mixes 1/6 gallon blue paint and 5/8 gallon green paint in a large container. what fraction represents the total amount of paint mike mixes?

The total amount of paint i think is 19/24

To find your answer you would need to add both colors(blue and green)
 to do this you need to make the denominators the same :

24 is a number we can get 8 and 6 to :
1×4=4
6×4=24

5×3=15
8×3=24

your new fractions are 4/24 and 15/24, now we can add them :

4+15=19
and 24 stays the same

your answer is 19/24 (you can not simplify this)

hope that this helped