22.2 repeating percent as a decimal and fraction

  0.222(repeating) = 2/9

Step-by-step explanation:

To convert a percentage to a decimal, divide by 100%.

  22.2%(repeating)/100% = 0.222(repeating)

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To convert a repeating decimal to a fraction, first multiply it by 10 the the power that is equal to the number of repeating digits. Here, we have 1 repeating digit, so ...

  x = 0.222(repeating)

  10^1 · x = 10x = 2.222(repeating)

Now subtract the original. The repeating parts cancel.

  10x -x = 2.222(repeating) - 0.222 repeating = 2

  9x = 2

  x = 2/9 . . . . . divide by the coefficient of x

The decimal is 0.222(repeating).

The fraction is 2/9.

$4034.40

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40

the answer is 21%.