To determine how much pizza your friend has left for himself after distributing portions to you and another friend, let's analyze the situation step by step.
-
Total Pizza Ordered: Your friend ordered 2 pizzas.
-
Pizza Given to You: He gives you \( \frac{1}{3} \) of one of the pizzas.
-
Pizza Given to Another Friend: He gives another friend \( \frac{12}{16} \) of the pizza, which simplifies to \( \frac{3}{4} \) of a pizza (since \( \frac{12}{16} = \frac{3}{4} \)).
-
Total Pizza Distributed: \[ \text{Total Pizza Distributed} = \frac{1}{3} + \frac{3}{4} \]
To add these fractions, we need a common denominator. The least common multiple of 3 and 4 is 12.
-
Convert \( \frac{1}{3} \) to twelfths: \[ \frac{1}{3} = \frac{4}{12} \]
-
Convert \( \frac{3}{4} \) to twelfths: \[ \frac{3}{4} = \frac{9}{12} \]
Now we can add them: \[ \text{Total Pizza Distributed} = \frac{4}{12} + \frac{9}{12} = \frac{13}{12} \]
-
-
Calculate the Remaining Pizza: Your friend started with 2 pizzas, which can be written as \( \frac{24}{12} \): \[ \text{Pizza Left} = \frac{24}{12} - \frac{13}{12} = \frac{11}{12} \]
Thus, your friend has \( \frac{11}{12} \) of a pizza left for himself.
The provided options do not list \( \frac{11}{12} \), so it appears there may be a misunderstanding regarding the exact pizza portions given to each person. However, based on the calculations, your friend has \( \frac{11}{12} \) pizzas left.
1 answer