Question

Verify associativity of addition of rational numbers i.e., (x + y) + z = x + (y + z), when:
(i) x = ½, y = 2/3, z = -1/5

Answer 1

Answer:

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Here is your answer

= (1/2+2/3)+-1/5=1/2+(2/3+-1/5)

= 7/6+-1/5. = 1/2+7/15

= 35+(-6)/30. = 15+14/30

= 29/30. = 29/30

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Answer 2

Step-by-step explanation:

= (1/2 + 2/3) + (-1/5)

= 7/6 + (-1/5)

= 35 + (- 6/ 30) = 29/30

And,

1/2 + (2/3 + (-1/5)

= 1/2 + 7/15

= 15 + 14/30 = 29/30

=>  LHS = RHS