To simplify the expression, let's start by calculating each fraction separately.
6/23 - 1/3 = (63 - 231) / (23*3) = (18 - 23) / 69 = -5/69
Next, let's calculate 1/3/4:
1/3/4 = (1/3) * (1/4) = 1/12
Now, add -5/69 and 1/12:
-5/69 + 1/12 = (-512 + 169) / (69*12) = (-60 + 69) / 828 = 9/828 = 1/92
Lastly, subtract 6:
1/92 - 6 = (1 - 6*92) / 92 = (1 - 552) / 92 = -551/92
So, the final expression is -551/92.
To determine whether this expression is greater than 0, we need to compare it to 0:
-551/92 > 0
Since the numerator of -551/92 is negative, while the denominator is positive, the overall expression is negative. Thus, -551/92 is not greater than 0.
