Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
rosa has 4\\(\frac{1}{2}\\) pounds of pizza dough. she uses \\(\frac{3}{4}\\) of a pound for one pizza. how many pizzas could be made from rosas dough?
\\(\bigcirc\\) 6
\\(\bigcirc\\) 12
\\(\bigcirc\\) 4\\(\frac{2}{3}\\)
\\(\bigcirc\\) 3\\(\frac{3}{8}\\)

Explanation:

Step1: Convert mixed number to improper fraction

Rosa has \( 4\frac{1}{2} \) pounds of dough. Convert \( 4\frac{1}{2} \) to an improper fraction: \( 4\frac{1}{2}=\frac{4\times2 + 1}{2}=\frac{9}{2} \).

Step2: Divide total dough by dough per pizza

To find the number of pizzas, divide the total dough (\( \frac{9}{2} \) pounds) by the dough used per pizza (\( \frac{3}{4} \) pound). When dividing fractions, multiply by the reciprocal: \( \frac{9}{2}\div\frac{3}{4}=\frac{9}{2}\times\frac{4}{3} \).

Step3: Simplify the multiplication

Simplify \( \frac{9}{2}\times\frac{4}{3} \). Cancel common factors: 9 and 3 cancel to 3 and 1, 4 and 2 cancel to 2 and 1. So \( \frac{9\times4}{2\times3}=\frac{3\times2}{1\times1}=6 \).

Answer:

6 (corresponding to the option "6")