List 2/3 , 7/12 , and 3/4 from greatest to least thanks .
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
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:
\(\frac{3}{4}\), \(\frac{2}{3}\), \(\frac{7}{12}\).