To make a gallon of a paint color, Lou mixes

1/6 gallon of yellow paint with 2/3 gallon of blue paint. Lou fills the rest of the can with white paint to make one gallon of paint. Enter the amount of white paint will Lou need to add to make a full gallon of paint.

1 - 1/6 - 2/3

9/20

9/20

To find the amount of white paint that Lou needs to add to make a full gallon of paint, we first need to find the total amount of paint obtained by mixing the yellow and blue paint.

The amount of yellow paint is given as 1/6 gallon, and the amount of blue paint is given as 2/3 gallon.

To add these amounts, we need to find a common denominator for 6 and 3, which is 6.

1/6 gallon = (1/6) * (6/6) = 6/36 gallon
2/3 gallon = (2/3) * (6/6) = 12/36 gallon

Now, we can find the total amount of paint by adding these fractions together:

6/36 gallon + 12/36 gallon = 18/36 gallon

The sum is 18/36 gallon, which can be simplified to 1/2 gallon.

Therefore, Lou has already mixed 1/2 gallon of paint by combining the yellow and blue paints. To make a full gallon of paint, he will need to add the remaining amount of paint, which is equal to:

1 gallon - 1/2 gallon = 1/2 gallon

Therefore, Lou will need to add 1/2 gallon of white paint to make a full gallon of paint.