Respuesta :
3/4 / 5 = 3/4 / 5/1 = 3/4 * 1/5 = 3/20 of a gallon in each pitcher
Answer: Each pitcher contains [tex]\dfrac{3}{20}[/tex] of a gallon of juice.
Step-by-step explanation: Given that a waitress pours [tex]\dfrac{3}{4}[/tex] gallon of juice equally into 5 pairs.
We are to find the fraction of a gallon of juice in each pitcher. Also, to write an equation to solve.
Let x represents the fraction of a gallon of juice in each pitcher.
Then, according to the given information, the equation can be written as :
[tex]x\times 5=\dfrac{3}{4}\\\\\\\Rightarrow 5x=\dfrac{3}{4}.[/tex]
And, the solution of the equation is
[tex]5x=\dfrac{3}{4}\\\\\Rightarrow x=\dfrac{3}{20}.[/tex]
Thus, each pitcher contains [tex]\dfrac{3}{20}[/tex] of a gallon of juice.