Question

if a=2/3and b =4/5 c-5/6 verify a+(b+c)=(a+b)+c​

Answer 1

Answer:

L.H.S.= a+{b+c}

         = 2/3 + [4/5 + {-5/6}]

         = 2/3 + {24/30 - 25/30}        by taking L.C.M.

         = 2/3 + {-1/30}

         = 2/3 - 1/30

         = 20/30 - 1/30                      by taking L.C.M.

         =19/30

R.H.S.= {a+b}+c

         = [2/3 + 4/5] + {-5/6}

         = {10/15 + 12/15} - 5/6           by taking L.C.M.

         = 22/15 -5/6

         = 44/30 - 25/30                   by taking L.C.M.

         = 19/30

Hence verified. {since L.H.S. = R.H.S.}