Verified Answer :

pegah

for this question you should know that:
2/3 = 8/12 
and 
3/4 = 9/12 
so now you can say:
7/12 < 8/12 < 9/12 
so: 
7/12 < 2/3 < 3/4 :)))
i hope this is helpful
have a nice day

zexius

Forget the numerators, focus on the denominators for now. 3 an 4 are both multiples of 12, so we can multiply \(\frac{2}{3}\) by 4 and \(\frac{3}{4}\) by 3 to make all the fractions out of 12. This should make it easier to understand which one is the smallest / biggest. 

\(\frac{2}{3}\) × 4 = \(\frac{8}{12}\) 

\(\frac{3}{4}\) × 3 = \(\frac{9}{12}\) 

You leave \(\frac{7}{12}\) as it is because it's already out of 12.

Now you can see that obviously, 
\(\frac{3}{4}\) is the largest fraction, as 9 is the biggest when it's out of 12. \(\frac{2}{3}\) is the second largest as it's 8 out of 12, which is smaller than 9 but bigger than 7. Obviously, the last is one is \(\frac{7}{12}\).

So the order is:

\(\frac{3}{4}\), \(\frac{2}{3}\), \(\frac{7}{12}\).