a waitress pours 3/4 gallon of juice equally into 5 pairs. what fraction of a gallon of juice is in each pitcher? write an equation to solve show the solution

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.

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