Question

How many gallons are there in $60$ ounces ?

Answer 1

Hint: Here this question belongs to the conversion topic that is we have to convert the unit from one form to another. Here we have to convert the unit gallons to the unit ounces. In the question, we have to find the number of gallons that correspond to $60$ ounces. We will use the unitary method to solve the given problem.

Complete step-by-step solution:
The gallons and ounces are the units to measure the volume of physical commodities or items. A gallon is abbreviated as gal and ounces are abbreviated as oz. An ounce is a metric unit of volume and it is used for measuring smaller volumes as compared to gallons.
The given question requires us to convert the unit of volume. We have to convert $60$ ounces into gallons. Also, a gallon is a bigger unit as compared to an ounce.
Also, we know that each gallon of volume consists of $128$ ounces. So, $1gal = 128oz$.
Let the number of gallons that correspond to $60$ ounces be x.
Then, to convert $60$ ounces into gallons, we follow a unitary method where we first find how many units of gallons correspond to a single unit of ounce and then multiply both sides of the equation by a suitable number so as to get the desired conversion of $60$ ounces into gallons.
So, $128\,oz = 1gal$.
Now, dividing both sides of the equation by $128$ in order to find out how many units of gallons correspond to a single unit of ounce. We get,
$ \Rightarrow 1\,oz = \dfrac{1}{{128}}gal$
Now, multiplying both sides of the equation by $60$ so as to get the desired conversion of $60$ ounces into gallons, we get,
$ \Rightarrow 60\,oz = \dfrac{{60}}{{128}}gal$
Now, we have to just simplify the fraction to get to our answer.
So, on dividing the numerator and denominator by $4$, we get,
$ \Rightarrow 60\,oz = \dfrac{{15}}{{32}}gal$
Therefore, $60\,oz = \dfrac{{15}}{{32}}gal$
Hence, we have converted $60$ ounces into gallons.

Thus the correct answer is 0.46878.

Note: We have different units for solid quantity, liquid quantity and gaseous quantity. Every quantity has a measurement unit from the low quantity to the high quantity. While converting the unit of a quantity from one form to another form we have a standard value. By multiplying or dividing we can convert the unit of the quantity. We have a different system of measurement of a quantity.