Final answer:
To share the pizzas equally, Betty can share them between 10 people.
Step-by-step explanation:
To find out how many people Betty can share the pizzas between, we need to divide the total number of pizzas, which is 2(1)/(2) pizzas, by the amount of pizza each person gets, which is (1)/(4) pizza.
To divide a fraction by another fraction, we need to multiply the first fraction by the reciprocal of the second fraction.
So, we have:
(2(1)/(2)) ÷ (1)/(4) = (2(1)/(2)) × (4)/(1) = 2(1)/(2) × 4 = 10
Therefore, Betty can share the pizzas between 10 people.