Respuesta :

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 [tex] \frac{2}{3} [/tex] by 4 and [tex] \frac{3}{4} [/tex] by 3 to make all the fractions out of 12. This should make it easier to understand which one is the smallest / biggest. 

[tex] \frac{2}{3} [/tex] × 4 = [tex] \frac{8}{12} [/tex] 

[tex] \frac{3}{4} [/tex] × 3 = [tex] \frac{9}{12} [/tex] 

You leave [tex] \frac{7}{12} [/tex] as it is because it's already out of 12.

Now you can see that obviously, 
[tex] \frac{3}{4} [/tex] is the largest fraction, as 9 is the biggest when it's out of 12. [tex] \frac{2}{3} [/tex] 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 [tex] \frac{7}{12} [/tex].

So the order is:

[tex] \frac{3}{4} [/tex], [tex] \frac{2}{3} [/tex], [tex] \frac{7}{12} [/tex].