Question

verify the commutative property of addition for a =5/7 and b= - 8/21
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Answer 1

Answer:

Commutative property of addition :-

Formula : a + b = b + a

So, 5/7 + -8/21 = -8/21 + 5/7

LHS = 5/7 + (-8/21)

LCM = 21

= 5/7 × 3/3 = 15/21 & (-8/21) × 1/1 = -8/21

= 15/21 + (-8/21) [ + × - = - ]

= 15/21 - 8/21

= 7/21

RHS = (-8/21) + 5/7

LCM = 21

= (-8/21) × 1/1 = -8/21 & 5/7 × 3/3 = 15/21

= (-8/21) + 15/21

= 7/21

Therefore, LHS = RHS

= 7/21 = 7/21

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Answer 2

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Commutative property of addition :-

Formula : a + b = b + a

So, 5/7 + -8/21 = -8/21 + 5/7

LHS = 5/7 + (-8/21)

LCM = 21

= 5/7 × 3/3 = 15/21 & (-8/21) × 1/1 = -8/21

= 15/21 + (-8/21) [ + × - = - ]

= 15/21 - 8/21

= 7/21

RHS = (-8/21) + 5/7

LCM = 21

= (-8/21) × 1/1 = -8/21 & 5/7 × 3/3 = 15/21

= (-8/21) + 15/21

= 7/21

Therefore, LHS = RHS

= 7/21 = 7/21