Question

Order 3/8,3/4,1/2,5/6 from least to greatest

Answer 1

To order these, we need to get all of the to a common denominator.

3*3 = 9
8*3 = 24

9/24

3*6 = 18
4*6 = 24

18/24

1*12 = 12
2*12 = 24

12/24

5*4 = 20
6*4 = 24

20/24

Now, analyze these fractions and compare their numerators.

20/24 , 12/24 , 18/24 , 9/24

The least: 9/24
Greatest: 20/24

Final answer:

3/8 , 1/2 , 3/4 , 5/6

Answer 2

To solve this, it is easiest to find the least common multiple of the denominators which is 24. Now we can rewrite our fractions.

`(3)/(8)`=
`(9)/(24)`

`(3)/(4)`=
`(18)/(24)`

`(1)/(2)`=
`(12)/(24)`

`(5)/(6)`=
`(20)/(24)`

Now these fractions can be put in order:

`(9)/(24)`,
`(12)/(24)`,
`(18)/(24)`,
`(20)/(24)`

Reduce and you have your answer.

`(3)/(8)`,
`(1)/(2)`,
`(3)/(4)`,
`(5)/(6)`