Answer:
[tex]Number\ of\ bags = 3{\frac{3}{8}[/tex]
Step-by-step explanation:
Given
Size of Flower Pot = 9 cubic-inch
Size of filling bag = [tex]2\frac{2}{3}[/tex] cubic-inch
Required
Determine the number of bags needed to fill the pot
To solve this, we simply divide the volume of the flower pot by the volume of the filling bags;
This is shown as follows:
[tex]Number\ of\ bags = \frac{Volume\ of\ Pot}{Volume\ of\ filling\ bags}[/tex]
Substitute 9 for Volume of Pot and [tex]2\frac{2}{3}[/tex] for Volume of filling bags
[tex]Number\ of\ bags = \frac{9}{2\frac{2}{3}}[/tex]
Convert denominator to improper fraction
[tex]Number\ of\ bags = \frac{9}{\frac{8}{3}}[/tex]
Rewrite Expression
[tex]Number\ of\ bags = 9 / {\frac{8}{3}[/tex]
[tex]Number\ of\ bags = 9 * {\frac{3}{8}[/tex]
[tex]Number\ of\ bags = {\frac{9 * 3}{8}[/tex]
[tex]Number\ of\ bags = {\frac{27}{8}[/tex]
Convert to Mixed Fraction
[tex]Number\ of\ bags = 3{\frac{3}{8}[/tex]
Hence, the number of bags needed to fill the flower pot is [tex]3{\frac{3}{8}[/tex]
