Question

belinda baked 9 pies that weigh 20\frac{1}{4} pounds. how much does each pie weigh?

Explanation:

Step1: Convert mixed number to improper fraction

The total weight is \(20\frac{1}{4}\) pounds. Convert this to an improper fraction: \(20\frac{1}{4}=\frac{20\times4 + 1}{4}=\frac{81}{4}\) pounds.

Step2: Divide total weight by number of pies

We have 9 pies. To find the weight of each pie, divide the total weight by 9: \(\frac{81}{4}\div9=\frac{81}{4}\times\frac{1}{9}=\frac{9}{4}\)

Step3: Convert back to mixed number (optional)

\(\frac{9}{4}=2\frac{1}{4}\) pounds.

Answer:

Each pie weighs \(2\frac{1}{4}\) pounds (or \(\frac{9}{4}\) pounds).