(Below is answer)
We can put these fractions in order in a simple way - Find the LCD.
Fractions 1/9, -2/3, 1/18 and -3/9 don't have a common denominator.
We can find the LCD by:
1. Factoring each denominator to it's primes.
2. Then matching the primes.
3. And multiplying the factors. The product will be the LCM of the denominators.
4. The LCM will be the LCD.
As for that, we can find the LCM of 9, 3, 18, and 9.
1. List out the multiples.
LCM of 3.
3, 6, 9, 12, 15, 18, 21, 24
LCM of 9.
9, 18, 27, 36
LCM of 18.
18, 36, 54.
Hence, we see 18 occurs on all the multiples. So, 18 is the LCM. But we're not done.
Since we got the LCD, change the denominators to the LCD. This is figure out what fraction is greater.
1/9 = 2/18
-2/3 = 12/18
1/18 = 1/18
-3/9 = -6/18
Hence, our answer is:
-3/9 is Least
1/9 is the 2nd least
1/18 is the 2nd greatest
2/3 is the Greatest.
