Question

Which inequality correctly compares Five-sixths, One-half, Three-ninths, and 1?

Three-ninths < Five-sixths < One-half < 1
Three-ninths < One-half < Five-sixths < 1
Five-sixths < Three-ninths < One-half < 1
Five-sixths < One-half < Three-ninths < 1

Answer 1

Three-ninths < One-half < Five-sixths < 1

Explanation:

Answer 2

Three-ninths < One-half < Five-sixths < 1

Explanation:

We are supposed to compares Five-sixths, One-half, Three-ninths, and 1

`(5)/(6) , (1)/(2),(3)/(9) , 1`

Take LCM of denominators

LCM of 6,9,2,1 = 18

`(5)/(6) * (3)/(3)=(15)/(18)`

`(1)/(2) * (9)/(9)=(9)/(18)`

`(3)/(9) * (2)/(2)=(6)/(18)`

`1 * (18)/(18) = (18)/(18)`

`(6)/(18)<(9)/(18)<(15)/(18)<(18)/(18)`

`(3)/(9)<(1)/(2)<(5)/(6) < 1`

Three-ninths < One-half < Five-sixths < 1