dianna made several loaves of bread yesterday...
dianna made several loaves of bread yesterday. each loaf required $2\frac{2}{3}$ cups of flour. all together, she used $13\frac{1}{3}$ cups of flour. how many loaves did dianna make?\no 3 loaves\no 4 loaves\no 5 loaves\no 7 loaves
Answer
# Explanation:
## Step1: Convert mixed - numbers to improper fractions
$2\frac{2}{3}=\frac{2\times3 + 2}{3}=\frac{8}{3}$ and $13\frac{1}{3}=\frac{13\times3+1}{3}=\frac{40}{3}$
## Step2: Divide total flour by flour per loaf
The number of loaves $n=\frac{\frac{40}{3}}{\frac{8}{3}}$. When dividing by a fraction, we multiply by its reciprocal, so $n=\frac{40}{3}\times\frac{3}{8}$.
The 3s cancel out, and $\frac{40}{8}=5$.
# Answer:
5 loaves