Question

Adam wants to compare the fractions three twelths ,one sixth ,one third. He wants to order them from least to greatest and rewrite them so they all have the same denominator. Explain how Adam can rewrite the fractions

Answer 1

`(3)/(12), (2)/(12), (4)/(12)`

`(1)/(6) < (3)/(12) < (1)/(3)`

Explanation:

We can write three-twelfth as :

`(3)/(12)`

Now, we can write one-sixth as :

`(1)/(6) = (1 * 2)/(6 * 2) = (2)/(12)`

And, we can write one third as :

`(1)/(3) = (1 * 4)/(3 * 4) = (4)/(12)`

Now, since 2 < 3 < 4, then
`(2)/(12) < (3)/(12) < (4)/(12)`

⇒
`(1)/(6) < (3)/(12) < (1)/(3)`

So, this is the ordered numbers from least to greatest. (Answer)