For binary operation * defind on R – 1 such that a * b = a/b+ 1 is

$a * b = \frac{a}{b}+ 1$

$b * a = \frac{b}{a}+ 1$

$a * b≠b * a$ (Not Commutative)

$(a * b)* c=\frac{(\frac{a}{b}+ 1)}{c}+1$

$(a * b)* c≠a *(b* c)$  (Not Associative)

$a *(b* c)=\frac{a}{(\frac{b}{c}+1)+1}$

division operation is neither associative nor commutative