Question

b) If a, b, c are three rational numbers where a2/3 B4/5 and c-5/6
verify a+(b+c) = (a+b)+c


Verify: a + (b + c) = (a + b) + c​

Answer 1

Answer:

Given that:

a= 2/3

b= 4/5

c= -5/6

verify : a+(b+c) = (a+b)+c

LHS: a+(b+c)

= 2/3+(4/5+-5/6)

= 2/3+(4/5-5/6)

= 2/3+(24-25/30)

= 2/3+(-1/30)

= 2/3-1/30

= 20-1/30

= 19/30

RHS: (a+b)+c

= (2/3+4/5)+-5/6

= (10+12/15)-5/6

= 22/15-5/6

= 44-25/30

= 19/30

Verified: LHS=RHS