Question

Order the numbers from least to greatest.

And PLEASE explain, PLEASE on how you got the answer

Answer 1

`(1)/(3), (2)/(5) , (3)/(4) , (4)/(5)`

Explanation:

Start by making a common denominator. That way we can just compare the numerators of the fractions and easily order then from least to greatest. Start by finding the LCM(least-common-multiple) of the denominators.

The LCM of 3, 4, and 5, is 60.

So let's make each of the fractions have a denominator of 60.

Start with
`(2)/(5)`,

`(2)/(5) =(x)/(60)`, no we have to solve for x, and since we multiply by 12 to get to 60 from 5, we multiply 2 by 12 as well.

So,
`x=24`.

Now do the same for each fraction.

`(1)/(3) =(x)/(60)`, we multiply by 20, so
`x=20`

`(4)/(5) =(x)/(60)`, we multiply by 12, so
`x=48`

`(3)/(4)=(x)/(60)`, we multiply by 15, so
`x=45`

So now are new fractions are
`(24)/(60) , (20)/(60) ,(48)/(60) , (45)/(60)`

Now just order these like normal since they have a common denominator.

`(20)/(60) ,(24)/(60) , (45)/(60) , (48)/(60)`

Now revert them and make them there original values

`(1)/(3), (2)/(5) , (3)/(4) , (4)/(5)`

Answer 2

1/3 2/5 3/4 4/5 is the answer