Steve bought 2 plain pizzas and $1 / 4$ of a pepperoni pizza. In all, how much pizza did he buy?
A. 2
B. $2 \frac{1}{4}$
C. $1^{1 / 4}$
D. $2 \frac{1}{2}$
Answer (1)
Add the amount of plain pizza and pepperoni pizza: 2 + 4 1 .
Convert 2 to a fraction with a denominator of 4: 2 = 4 8 .
Add the fractions: 4 8 + 4 1 = 4 9 .
Convert the improper fraction to a mixed number: 4 9 = 2 4 1 . The final answer is 2 4 1 .
Explanation
Understanding the problem Steve bought 2 plain pizzas and 4 1 of a pepperoni pizza. We need to find the total amount of pizza Steve bought.
Plan of action To find the total amount of pizza, we need to add the amount of plain pizza and the amount of pepperoni pizza.
Setting up the equation Total pizza = plain pizza + pepperoni pizza. So, we have 2 + 4 1 .
Adding the fractions To add these, we can write 2 as a fraction with a denominator of 4: 2 = 4 2 × 4 = 4 8 . Then, we have 4 8 + 4 1 = 4 8 + 1 = 4 9 .
Converting to a mixed number Now, we convert the improper fraction 4 9 to a mixed number. We divide 9 by 4, which gives us 2 with a remainder of 1. So, 4 9 = 2 4 1 .
Final Answer Therefore, Steve bought 2 4 1 pizzas in total.
Examples
Understanding fractions is crucial in everyday situations, like when you're sharing a pizza with friends! If you have 2 whole pizzas and decide to add another quarter of a pizza, you're essentially working with fractions. Knowing how to add whole numbers and fractions helps you determine the total amount of pizza you have to share, ensuring everyone gets a fair slice. This skill extends beyond pizza to measuring ingredients for cooking, managing time, or even understanding financial divisions.
