How many gallons are in 101.4 fl oz?

Question

Benjamin Altschul · Accepted Answer

See a solution process below:

There are 128 fluid ounces in one gallons, so we can write and solve an equation for #g# (the number of gallons in 101.4 fluid ounces) as: #(1"gal")/(128"oz") = g/(101.4"oz")# #(1"gal")/(128"oz") xx color(red)(101.4)color(red)("oz") = g/(101.4"oz") xx color(red)(101.4)color(red)("oz")# #(1"gal")/(128color(red)(cancel(color(black)("oz")))) xx color(red)(101.4)cancel(color(red)("oz")) = g/color(red)(cancel(color(black)(101.4"oz"))) xx cancel(color(red)(101.4)color(red)("oz"))# #(1"gal")/128 xx color(red)(101.4) = g# #(color(red)(101.4)"gal")/128 = g# #0.7921875"gal" = g# #0.8#"gal" = g# rounded to the nearest 10th of a gallon. There are approximately 0.8 gallons in 101.4 fluid ounces

Aurora Arias · Answer

undefined To convert fluid ounces (fl oz) to gallons, you can use the conversion factor that 1 gallon is equal to 128 fluid ounces. Therefore, to convert 101.4 fluid ounces to gallons, you divide 101.4 by 128:

$$ \text{Gallons} = \frac{\text{Fluid Ounces}}{128} $$

$$ \text{Gallons} = \frac{101.4}{128} $$

$$ \text{Gallons} \approx 0.7921875 \text{ gallons} $$

Therefore, there are approximately 0.7921875 gallons in 101.4 fluid ounces.