8. Lorenzo ordered 3 pizzas for his birthday party. He gave half of 1 pizza to his brother Luca. Luca then gave ¼ of his share of the pizza to his cousin Olivia. Olivia then gave ⅓ of her share of the pizza AND another three slices to her sister Ava. What fraction of pizza did Ava receive? Show your work. [ /4 marks]
First, let's find out how many slices were in the original pizza that Lorenzo ordered:
1 pizza = 8 slices
Lorenzo gave half of 1 pizza to Luca:
1/2 * 8 = 4 slices
Luca then gave 1/4 of his share to Olivia:
1/4 * 4 = 1 slice
Olivia then gave 1/3 of her share AND another 3 slices to Ava:
1/3 * 1 + 3 = 1/3 + 3 = 10/3 slices
Therefore, Ava received 10/3 slices of pizza, which is equivalent to 3 1/3 slices of pizza.