Question

You have a 32-foot fence around a square garden. There are 4 equal sections. You paint 13 of one section of the fence.

What fraction of the fence did you paint?

Answer 1

Question:

You have a 32-foot fence around a square garden. There are 4 equal sections. You paint 1/3 of one section of the fence. What fraction of the fence did you paint?

Answer:

The fraction of the fence painted is
`(1)/(12)`

Solution:

Given that:

You have a 32-foot fence around a square garden. There are 4 equal sections

Find the length of each section:

4 sections = 32 foot

`\text{ 1 section } = 32 / 4 = 8 foot`

Find the length that is painted:

`\text{ Fence painted }= (1)/(3) \text{ of one section }\\\\\text{ Fence painted }= (1)/(3) * 8 = (8)/(3) \text{ foot }`

Therefore
`(8)/(3)` foot of fence is painted

Find the fraction that that is painted:

Total length of fence = 32

`\text{ Fraction of the fence painted } = (8)/(3) / 32 = (8)/(3) * (1)/(32)\\\\\text{ Fraction of the fence painted } = (1)/(12)`

Therefore
`(1)/(12)` fraction of the fence is painted