given numbers are :-
a = 5/2 , b = 12/5 , c = 7/12
Using associative property for Multiplication ,
General property : a x (b x c ) = (a x b) x c
Now , substituting the values we get,
=> 5/2 x (12/5 x 7/12) = (5/2 x 12/5) x 7/12
=> 5/2 x ( 7/5) = (12/2) x 7/12
=> 7/2 = 7/2
Hence the property is verified .
Now ,
Associative property under addition ,
General property : a + (b+c) = (a+b) +c
=> 5/2 + (12/5+7/12) = (5/2+12/5) + 7/12
Taking Respective LCMs,
=> 5/2 + (144+35/60) = (25+24/10) + 7/12
=> 5/2 + 179/60 = 49/10 + 7/12
=> 150 + 179 / 60 = 294+35 / 60
=> 329/60 = 329/60
(Refer attachment for addition part)
