Question

a picture 10 1/4 feet long is to be centered on a wall that is 14 1/2 feet long. How much more space is there from the edge of the wall to the picture?

Answer 1

Length from the edge will be
`=2{(1)/(8)}` feet

Explanation:

To find length we have to conver mixed fraction to improper fraction

The length of the wall
`= (29)/(2)`

Length of picture
`=(41)/(4)`

First we find the total length of wall remain after picture was hung to the wall.

Length of wall remain vacant
`=(29)/(2)-(41)/(4)`

Taking LCM and solving we get

`=(58-41)/(4) =(17)/(4)`

Total length of wall remain vacant
`=(17)/(4)`

As the picture to be centered in wall, therefore space feom one edge of wall will be half that of length remain vacant as the same length to be left vacant feom both sides.

Space from one edge
`=(17)/(4) * (1)/(2)`

`= (17)/(8)`

`=2{(1)/(8)}`

Length from the edge will be
`=2{(1)/(8)}` feet