Question

At the neighborhood block party, Shivani served 1/2 of a gallon of hot chocolate and 1/4 of a gallon of apple cider. How much more hot chocolate than apple cider did Shivani serve?

Write your answer as a fraction or as a whole or mixed number.

Answer 1

Shivani served \( \frac{1}{2} \) gallon of hot chocolate and \( \frac{1}{4} \) gallon of apple cider. To find out how much more hot chocolate than apple cider she served, we subtract the amount of apple cider from the amount of hot chocolate:

\[
\frac{1}{2} - \frac{1}{4}
\]

To perform this subtraction, we need a common denominator. The denominators 2 and 4 have a common denominator of 4. We can convert \( \frac{1}{2} \) to a fraction with a denominator of 4:

\[
\frac{1}{2} = \frac{2}{4}
\]

Now we can subtract:

\[
\frac{2}{4} - \frac{1}{4} = \frac{2 - 1}{4} = \frac{1}{4}
\]

Therefore, Shivani served \( \frac{1}{4} \) more hot chocolate than apple cider.

Thus, the answer is

\[
\frac{1}{4}
\]