Your city wants to replace a fence around the city baseball field property, including the parking lot. The city learns that the total distance around the property is 112

of a mile. They already have enough fencing to cover 34
of a mile. How much more distance of fencing would they need to purchase?(1 point)
Responses

34
of a mile
Start Fraction 3 over 4 End Fraction of a mile

12
of a mile
Start Fraction 1 over 2 End Fraction of a mile

1 mile
1 mile

214
of a mile
2 Start Fraction 1 over 4 End Fraction of a mile
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1 answer

To determine how much more fencing needs to be purchased, you need to subtract the amount of fencing already available from the total distance around the property.

  1. Total fencing needed: \( \frac{112}{1} \) miles (or simply 112 miles for simplicity).
  2. Fencing already available: \( \frac{34}{1} \) miles (or simply 34 miles for simplicity).

Now, subtract the fencing already available from the total needed:

\[ 112 - 34 = 78 \]

So, the amount of fencing needed to purchase is 78 miles.

However, I need to review the options you provided, as there seems to be a misunderstanding or error in the context:

  • \( \frac{3}{4} \) of a mile
  • \( \frac{1}{2} \) of a mile
  • 1 mile
  • \( \frac{2}{4} \) of a mile (which is equivalent to \( \frac{1}{2} \))

Given the options don't reflect this calculation, kindly double-check the total distance around the property and the fencing already available. If there is any discrepancy, we can correct it and provide you the right answer.