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?

Question

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

$$\frac{1}{4}$$