Question

Which inequality correctly compares One-third, Five-sixths, and Three-fifths? One-third < Three-fifths < Five-sixths One-third < Five-sixths < Three-fifths Five-sixths < One-third < Three-fifths Five-sixths < Three-fifths < One-third

Answer 1

a

Explanation:

Answer 2

`(1)/(3) \: < \: (3)/(5) \: < \: (5)/(6)`

Explanation:

We want to compare the fractions

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

First, we collect LCM

The LCM of 3,6, and 5 is 30

`(1)/(3) = (10)/(30) , \\ (5)/(6) = (25)/(30) , \\ (3)/(5) = (18)/(30)`

`(10)/(30) , (18)/(30) , (25)/(30)`

This means that

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

Hence,

`(1)/(3) \: < \: (3)/(5) \: < \: (5)/(6)`