Question

1. billie is baking 3 loaves of bread for her coworkers. she also wants to bake an extra \\(\frac{1}{2}\\) of a loaf. if each loaf of bread requires \\(2\frac{1}{4}\\) cups of flour, how many total cups of flour will she use?

Explanation:

Step 1: Calculate total loaves

Billie bakes 3 loaves plus an extra $\frac{1}{2}$ loaf. So total loaves $n = 3+\frac{1}{2}=\frac{6 + 1}{2}=\frac{7}{2}$ loaves.

Step 2: Convert mixed number to improper fraction

Each loaf requires $2\frac{1}{4}$ cups of flour. Convert $2\frac{1}{4}$ to improper fraction: $2\frac{1}{4}=\frac{2\times4 + 1}{4}=\frac{9}{4}$ cups per loaf.

Step 3: Calculate total flour

Total flour $=n\times$ flour per loaf $=\frac{7}{2}\times\frac{9}{4}=\frac{63}{8}=7\frac{7}{8}$ cups.

Answer:

$7\frac{7}{8}$ cups (or $\frac{63}{8}$ cups)