Question

candy has to paint a fence. if she can paint 2/3 of each section in 1/2 hour, and there are 9 sections , how long will it take her to paint the entire fence?

Answer 1

`6 (3)/(4)` hours

Explanation:

First, find the time it takes to paint each section with this formula:
`((1)/(2))/((2)/(3))`

You can use keep, change, flip, to make this multiplication.
`(1)/(2) * (3)/(2)`

Multiply the numerators.
`1 * 3 = 3`

Multiply the denominators.
`2 * 2 = 4`

So, it takes
`(3)/(4)` hour to paint one section of fence.

Now, we just need to find how long it takes to paint 9 sections.
`9 * (3)/(4)`

Multiply.
`(27)/(4)`

Finally, simplify.
`6 (3)/(4)`