Respuesta :

Conversion

We know that 1 gal is equivalent to 4 qt. We want to find how many gallons correspond to 55 qt:

?? gal ⇔ 55 qt

1 gal ⇔ 4 qt

We know that if we divide both sides of the equivalence we will have the same result:

[tex]\frac{?\text{?}}{1}=\frac{55}{4}[/tex]

Then, we have an equation for the number of gallons:

[tex]?\text{?}=\frac{55}{4}[/tex]

Then, we have that

55/4 gal ⇔ 55 qt

Since 52/4 = 13

and 52 + 3 = 55, then

[tex]\frac{55}{4}=\frac{52+3}{4}=\frac{52}{4}+\frac{3}{4}=13+\frac{3}{4}[/tex]

Then, we have that

55/4 gal = 13 +3 /4 gal

or

55/4 gal = 13 gal 3 quarters

Answer: 55 gal = 13 gal 3 qt

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