Question

is 2/3 - 5/6 same as 5/6 - 2/3

Answer 1

No it will not be same
as
$\frac{2}{3 } - \frac{5}{6} = \frac{ - 1}{6} \\ \frac{5}{6} - \frac{2}{3} = \frac{1}{6}$
hence one is negative and one is positive hence it will not be same

Answer 2

2/3-5/6=LHS=4-5 /6  =-1/6
5/6-2/3=RHS=5-4 /6 =1/6
⇒LHS≠RHS