Question

Which inequality correctly compares 1/3, 5/6, and 3/5?

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

For this case we have the following fractions:

`\frac {1} {3} = 0.3333\\\frac {5} {6} = 0.8333\\\frac {3} {5} = 0.6`

So we have to:

`0.3333 <0.6 <0.8333`

This is equivalent to:

`\frac {1} {3} <\frac {3} {5} <\frac {5} {6}`

Answer:

`\frac {1} {3} <\frac {3} {5} <\frac {5} {6}`

The answer is Option A