Question

1. aaron has $2\frac{1}{4}$ pizzas left over from a sleepover. he ate $\frac{1}{8}$ of the leftover pizza for lunch. how much of the pizza did he eat? how much is left?

Explanation:

Step1: Convert mixed number to improper fraction

Aaron has \(2\frac{1}{4}\) pizzas. Convert \(2\frac{1}{4}\) to improper fraction: \(2\frac{1}{4}=\frac{2\times4 + 1}{4}=\frac{9}{4}\)

Step2: Calculate how much he ate

He ate \(\frac{1}{8}\) of the leftover pizza. So the amount he ate is \(\frac{9}{4}\times\frac{1}{8}=\frac{9}{32}\)

Step3: Calculate how much is left

The amount left is the original amount minus the amount he ate. So \(\frac{9}{4}-\frac{9}{32}\). First, find a common denominator, which is 32. \(\frac{9}{4}=\frac{9\times8}{4\times8}=\frac{72}{32}\). Then \(\frac{72}{32}-\frac{9}{32}=\frac{72 - 9}{32}=\frac{63}{32}=1\frac{31}{32}\)

Answer:

He ate \(\frac{9}{32}\) of the pizza. The amount left is \(1\frac{31}{32}\) pizzas.