Order the fraction from least to greatest. 2/3, 4/9, 5/6, 7/12

Ok so the first thing we need to do is find the least common denominator. The LCD is 36.

Now we must make all the denominators 36.
(2/3)=(24/36)
(4/9)=(16/36)
(5/6)=(30/36)
(7/12)=(21/36)

So we have the numbers (24/36),(16/36),(30/36), and (21/36).

Since they all have the same denominator, we can compare all the numerators and order hem from least to greatest.

(16/36)<(21/36)<(24/36)<(30/36)

Now that we have the order, we must simplify the numbers back to their original forms.

(4/9)<(7/12)<(2/3)<(5/6)

And that is your answer

1. 4/9 
2. 7/12
3. 2/3
4. 5/6

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