# How many cups are in $\dfrac{1}{2}$ a gallon?

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**Hint:**For converting the gallon to cups we need a relation between them. As we know that the conversion factor of a gallon to cups will be as $1$ gallon will be equal to $16$ cups. Hence, by using this we will be able to get the required converted value in cups.

**Complete step-by-step answer:**So we have the values of a gallon given as $\dfrac{1}{2}$ and we have to convert this into the number of cups. So from the hint, we know that

$ \Rightarrow 1{\text{ }}gallon = 16{\text{ }}cups$ , and we will name it equation $1$

So we have to find the number of cups in $\dfrac{1}{2}$ a gallon. So for this, we will multiply both the side of the equation by $\dfrac{1}{2}$ and it will be equal to

$ \Rightarrow \dfrac{1}{2} \times 1{\text{ gallon = }}\dfrac{1}{2} \times 16{\text{ cups}}$

And on solving the multiplication and division of both the sides, we get

$ \Rightarrow \dfrac{1}{2} \times {\text{gallon = 8 cups}}$

So we can write the above equation as

$ \Rightarrow \dfrac{1}{2}{\text{gallon = 8 cups}}$

**Therefore, there are $8$ cups in $\dfrac{1}{2}$ a gallon.**

**Additional information:**

Generally, it is seen that most people use gallon when they have larger quantities, and when they have smaller quantities they use paints, cups, quarts, and many more. So when there is a problem for solving or converting the liquid present in the container then we use the unit conversion and with this, we need to convert those units from one to another.

**Note:**So while solving such a type of question where they asked to convert it from something to a different thing, we always need to focus on the units. As if we don’t write the unit after the conversion then it will be considered as wrong .