I don't understand what the question is apparently. I've tried for hours and I cannot figure out the process of answering a question like this! Would someone be able to break down the steps to understand and answer.

Answer:
Step-by-step explanation:
1) one half = 1 + 1/2
Required butter for a recipe = 2/3 c
Required butter for a half recipe = [tex]\frac{2}{3}*\frac{1}{2}=\frac{1}{3}[/tex]
Now , Required butter for the increased (1 1/2) recipe = [tex]\frac{2}{3}+\frac{1}{3}=\frac{3}{3}=1[/tex] c
2) Increased recipe by one third ⇒ 1 + 1/3
Required butter for a recipe = 4/5 c
Required butter for 1/3 of the recipe =[tex]\frac{4}{5}*\frac{1}{3}=\frac{4}{15}[/tex]
Now , Required butter for the increased (1 1/3) recipe is
[tex]=\frac{4}{5}+\frac{4}{15}\\\\=\frac{4*3}{5*3}+\frac{4}{15}\\\\=\frac{12}{15}+\frac{4}{15}\\\\=\frac{16}{15}[/tex]
3) Increased recipe by one half = 1 + 1/2
Required butter for a recipe = 7/8 c
Required butter for 1/2 of the recipe = [tex]\frac{7}{8}*\frac{1}{2}=\frac{7}{16}[/tex]
Now , Required butter for the increased (1 1/2) recipe is
[tex]=\frac{7}{8}+\frac{7}{16}\\\\=\frac{7*2}{8*2}+\frac{7}{16}\\\\=\frac{14}{16}+\frac{7}{16}\\\\=\frac{21}{16} \ c[/tex]