order 3/8,3/4,1/2,5/6 from least to greatest
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
83 = 24
9/24
36 = 18
46 = 24
18/24
112 = 12
212 = 24
12/24
54 = 20
64 = 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