Question

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

Answer 1

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.
$\frac{3}{8}$, $\frac{1}{2}$, $\frac{3}{4}$, $\frac{5}{6}$

Answer 2

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