# How many gallons are in 101.4 fl oz?

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:

$\left(1 \text{gal")/(128"oz") = g/(101.4"oz}\right)$

$\left(1 \text{gal")/(128"oz") xx color(red)(101.4)color(red)("oz") = g/(101.4"oz") xx color(red)(101.4)color(red)("oz}\right)$

(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"))

$\frac{1 \text{gal}}{128} \times \textcolor{red}{101.4} = g$

$\frac{\textcolor{red}{101.4} \text{gal}}{128} = g$

$0.7921875 \text{gal} = g$

$0.8$"gal" = g# rounded to the nearest 10th of a gallon.

There are approximately 0.8 gallons in 101.4 fluid ounces