Question

Two shelves are on a wall with one directly above the other. One shelf is 4 5/6 feet above the floor and the other is 5 9/10 feet above the floors find the distance between the shelves.

Answer 1

Explanation:

One shelf is
`4 (5)/(6) ft` above the floor and the other is
`5 (9)/(10) ft` above the floor. Since the shelves are directly above one another, we can simply compute the difference to find the distance between them,

`= 5 (9)/(10) ft - 4(5)/(6) ft`

`= (59)/(10) ft - (29)/(6) ft`

Taking LCM for a common denominator,

`= (59 * 3 - 29 * 5)/(30) ft`

`= (32)/(30) ft`

Dividing 2 from both numerator and denominator for getting the simplest fraction,

`= (16)/(15) ft`

Expressed in mixed fraction,

`= 1(1)/(15) ft`

~The distance between the selves is 1 1/15 feet.