You have a 32 foot fence around a square garden there are four equal sections you paint 1/3 of the section of the fence what fraction of the fence did you paint

¹/₁₂  

Step-by-step explanation:

Data:

32 ft fence

4 equal sections

⅓ section painted

Calculations:

(a) Length of a section

l = 32 ft/4 sections = 8 ft/section

(b) Length of section painted

Painted = ⅓ × 8 ft = ⁸/₃ ft

(c) Fraction of fence painted

Fraction = (⁸/₃)/32  

             = ⁸/₃ × ¹/₃₂     Divide numerator and denominator by 8

              = ⅓  × ¼      Multiply numerators and denominators

              = ¹/₁₂

You painted ¹/₁₂ of the fence.

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