Verified Answer :

To solve this, it is easiest to find the least common multiple of the denominators which is 24. Now we can rewrite our fractions.
\(\frac{3}{8}\)=\(\frac{9}{24}\)
\(\frac{3}{4}\)=\(\frac{18}{24}\)
\(\frac{1}{2}\)=\(\frac{12}{24}\)
\(\frac{5}{6}\)=\(\frac{20}{24}\)

Now these fractions can be put in order:
\(\frac{9}{24}\), \(\frac{12}{24}\), \(\frac{18}{24}\), \(\frac{20}{24}\)

Reduce and you have your answer.
\(\frac{3}{8}\), \(\frac{1}{2}\), \(\frac{3}{4}\), \(\frac{5}{6}\)

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

33 = 9
8
3 = 24

9/24

36 = 18
4
6 = 24

18/24

112 = 12
2
12 = 24

12/24

54 = 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