Respuesta :
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
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