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 1 1/2

Question

of a mile. They already have enough fencing to cover 3/4
of a mile. How much more distance of fencing would they need to purchase?(

Answer 1

To determine how much more fencing the city needs to purchase, we first need to find out the total distance around the property that needs to be fenced, and then subtract the amount of fencing they already have.

1. The total distance around the property is given as \( \frac{3}{2} \) miles (which is the same as 1.5 miles).

2. The amount of fencing they currently have is \( \frac{3}{4} \) miles.

Now, we can calculate the additional amount of fencing needed:

\[ \text{Additional fencing needed} = \text{Total distance} - \text{Current fencing} \]

\[ \text{Additional fencing needed} = \frac{3}{2} - \frac{3}{4} \]

To subtract these fractions, we need a common denominator. The least common denominator of 2 and 4 is 4.

Now, convert \( \frac{3}{2} \) to a fraction with a denominator of 4:

\[ \frac{3}{2} = \frac{3 \times 2}{2 \times 2} = \frac{6}{4} \]

Now we can perform the subtraction:

\[ \text{Additional fencing needed} = \frac{6}{4} - \frac{3}{4} = \frac{6 - 3}{4} = \frac{3}{4} \]

Thus, the city needs to purchase an additional \( \frac{3}{4} \) miles of fencing.