# 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.

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.