Answer:
[tex]6 \frac{3}{4}[/tex] hours
Step-by-step explanation:
First, find the time it takes to paint each section with this formula: [tex]\frac{\frac{1}{2}}{\frac{2}{3}}[/tex]
You can use keep, change, flip, to make this multiplication. [tex]\frac{1}{2} * \frac{3}{2}[/tex]
Multiply the numerators. [tex]1 * 3 = 3[/tex]
Multiply the denominators. [tex]2 * 2 = 4[/tex]
So, it takes [tex]\frac{3}{4}[/tex] hour to paint one section of fence.
Now, we just need to find how long it takes to paint 9 sections. [tex]9 * \frac{3}{4}[/tex]
Multiply. [tex]\frac{27}{4}[/tex]
Finally, simplify. [tex]6 \frac{3}{4}[/tex]
