How many gallons are in 101.4 fl oz?

1 Answer
Mar 5, 2018

See a solution process below:

Explanation:

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