If Hailey and 4 of her friends each ate a quarter of a pizza, that means there are a total of 5 people (Hailey + 4 friends) eating.
Each person consumed \( \frac{1}{4} \) of a pizza. So, the total amount of pizza consumed can be calculated as follows:
\[ 5 \text{ people} \times \frac{1}{4} \text{ pizza/person} = \frac{5}{4} \text{ pizzas} \]
Thus, they consumed a total of \( \frac{5}{4} \) pizzas, which is equivalent to 1 pizza and a quarter (or 1.25 pizzas).