SOLUTION: I need to answer this problem in a fraction form. We are multiplying & dividing fraction rules. "Jon is hanging a picture. He wants to center it horizontally on the wall. The p

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: I need to answer this problem in a fraction form. We are multiplying & dividing fraction rules. "Jon is hanging a picture. He wants to center it horizontally on the wall. The p      Log On


   



Question 1000004: I need to answer this problem in a fraction form. We are multiplying & dividing fraction rules.
"Jon is hanging a picture. He wants to center it horizontally on the wall. The picture is 32 1/2 inches long, and the wall is 120 3/4 inches long. How far from each edge of the wall should he place the picture?"
I figured this out by subtracting 32.5 from 120.75 and then divide that number by two. But I know that my teacher wants the answer in fraction form. I am really confused how to do this. :-(
Or is my thinkgig wrong about this?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The middles line-up vertically. Your thinking seems good.

Wall length, 120%263%2F4 inches. Middle of wall is 60%263%2F8 inches from either side of the wall.

Picture length, 32%261%2F2 inches. Either half length of the picture is 16%261%2F4 inches.

DRAW a picture of all this to understand more clearly and visually.
Starting at wall middle of 60%263%2F8, move to the left by half the picture length, meaning 60%263%2F8-16%261%2F4 inches. This is where the left side will be from the edge of the left side of the wall. Do this in practice correctly accurately and the right sides will be the correct distances from their sides also.

60%263%2F8-16%261%2F4
60%263%2F8-16%262%2F4
60%261%2F8-16
highlight%2844%261%2F8%29, distance between side of wall and corresponding side of picture.

The arithmetic can look better if done ON PAPER or chalkboard.


---
You had no real reason, nor need to convert into decimal numbers. Keeping as "mixed numbers" should have been no trouble.