In the question is given to verify the property x × (y × z) = (x × y) × z
The arrangement of the given rational number is as per the rule of associative property for multiplication.
Then, (2/3) × (-3/7 × ½) = ((2/3) × (-3/7)) × ½
LHS = (2/3) × (-3/7 × ½)
= (2/3) × (-3/14)
= -6/42
RHS = ((2/3) × (-3/7)) × ½
= (-6/21) × ½
= -6/42
By comparing LHS and RHS
LHS = RHS
∴ -6/42 = -6/42
Hence x × (y × z) = (x × y) × z
