Thomas has some leftover paint that he would like to sell. He mixes 4 3 8 gallons of blue paint with 6 1 8 gallons of white paint. Then, he pours this light-blue mixture into 1 4 gallon containers. How many of these 1 4 gallon containers can he fill completely with this paint mixture?

The number of containers of [tex]\frac{1}{4}[/tex] that Thomas can fill with the paint he mixed is 42 containers.How to calculate the number of containers of [tex]\frac{1}{4}[/tex] that can Thomas fill with his mixture?To calculate the number of containers of [tex]\frac{1}{4}[/tex] that Thomas can fill with his mixture we must perform the following operation:Add up the amounts of paint mixed:4 [tex]\frac{3}{8}[/tex] + 6 [tex]\frac{1}{8}[/tex] = (4 + 6) + ([tex]\frac{3}{8} + \frac{1}{8}[/tex]) = 10 + [tex]\frac{4}{8}[/tex] = 10[tex]\frac{4}{8}[/tex]So the total mixture equals 10 [tex]\frac{4}{8}[/tex]Subsequently, we must divide this amount into containers of [tex]\frac{1}{4}[/tex], to know how many of these we use for the entire mixture:10[tex]\frac{4}{8}[/tex] ÷ [tex]\frac{1}{4}[/tex] = 10 [tex]\frac{4}{8}[/tex] × 4= (10 × 4) + ([tex]\frac{4}{8}[/tex] × 4)= 40 + [tex]\frac{16}{8}[/tex]= 40 + 2= 42According to the above, the total mixture requires 42 containers of [tex]\frac{1}{4}[/tex] to be fully packed.Learn more about fractionals in: