Question

Convert the measurement as indicated.55 qt= _gal_qt(Simplify your answer.)

Answer 1

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:

`\frac{?\text{?}}{1}=(55)/(4)`

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

`?\text{?}=(55)/(4)`

Then, we have that

55/4 gal ⇔ 55 qt

Since 52/4 = 13

and 52 + 3 = 55, then

`(55)/(4)=(52+3)/(4)=(52)/(4)+(3)/(4)=13+(3)/(4)`

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