Need help with answers

Question

Gavin is building a fence. He needs to put a post every 4 1/2 feet. If a new segment of the fence has 15 new posts, using the last post from the previous section of fence as a starting point, howl ong is the new segment of fence?

1/15x = 4 1/2

Answer 1

(15)(4.5) = 67.5.

Answer 2

First, you figure out your equation. There are two equations that both work to solve this.

Equation 1: 1/15X=4.5

1. First, you isolate X. Since 1/15 is a fraction, you want to multiply both sides of the equation by the denominator. So, 1/15X times 15 = 4.5 times 15.
2. Now, simplify. 1/15 times 15 is 1. 1X can be simplified as just X.
3. X = 4.5 times 15
4. X = 67.5

Equation 2 (a proportion): 4.5 feet/1 post = X feet/15 posts

1. To solve a proportion, you cross multiply. This means you multiply the numerator (top) of the first fraction by the denominator (bottom) of the second fraction. You then multiply the denominator (bottom) of the first fraction by the numerator (top) of the second fraction.
2. 4.5 times 15 = 1 times X. Now simplify.
3. 67.5 = X