Verify x +[y+z] = [ x+y]+z for x =-1/2, y= 2/5 and z= -1/3
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Step-by-step explanation:
L.H.S = x +[y+z] for x = - 1/2, y= 2/5 and z= - 1/3
= x +[y+z] = - 1/2 + [2/5+(- 1/3) ]
Take LCM of 5 and 3 = 15
= - 1/2 + ( 6 - 5/15)
= - 1/2 + 1/15 = (-15 + 2) /30 = -13/30
R.H.S = [ x+y]+z = [- 1/2 + 2/5 ]+ (- 1/3)
= (-5+4/10) + (-1/3)
= -1/10 - 1/3
= (-3- 10)/30
= - 13 /30
Hence L.H.S = R.H.S
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