For the grand movie premiere, how many gallons of special drink are needed if the recipe requires [tex]$4 \frac{1}{2}$[/tex] gallons of sparkling soda, 1 gallon of berry extract, [tex]$2 \frac{3}{4}$[/tex] gallons of frosted lemon fizz, and [tex][tex]$\frac{1}{8}$[/tex][/tex] gallon of crushed starfruit?
Select one:
A. [tex]$9 \frac{1}{2}$[/tex] gallons B. [tex]$8 \frac{3}{8}$[/tex] gallons C. [tex][tex]$7 \frac{1}{4}$[/tex][/tex] gallons D. [tex]$10 \frac{1}{2}$[/tex] gallons
We need to get a common denominator to add these fractions: - For [tex]\( \frac{9}{2} \)[/tex]: Multiply by 4: [tex]\( \frac{9}{2} \times \frac{4}{4} = \frac{36}{8} \)[/tex] - For 1 gallon: Multiply by 8: [tex]\( 1 \times \frac{8}{8} = \frac{8}{8} \)[/tex] - For [tex]\( \frac{11}{4} \)[/tex]: Multiply by 2: [tex]\( \frac{11}{4} \times \frac{2}{2} = \frac{22}{8} \)[/tex] - For [tex]\( \frac{1}{8} \)[/tex]: Already has the denominator 8
