Question

verify -12 / 5 + 2 / 7 = 2/7 + 12/5 and mention this property ( rational number)

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Answer 1

Solution:-

Property:-

a/b + c/d = ad/bd + cb/bd

=( ad + cb)/bd

so,

=> -12 / 5 + 2 / 7 = 2/7 + 12/5

=> (-12×7)/35 +(5×2)/35 = (5×2)/35+(12×7)35

=> -84/35 + 10/35 = 10/35 + 84/35

=>( -84+10 )/35 = (10 + 84)/35

=> -74/35 = 94/35

hence -74/35 ≠ 94/35

i hope it helps you....

Answer 2

Answer:

a/b + c/d = ad/bd + cb/bd =( ad + cb)/bd

so,

=> -12 / 5 + 2 / 7 = 2/7 + 12/5

=> (-12×7)/35 +(5×2)/35 = (5×2)/35+(12×7)35

=> -84/35 + 10/35 = 10/35 + 84/35

=>( -84+10 )/35 = (10 + 84)/35

=> -74/35 = 94/35

hence -74/35 ≠ 94/35

i hope it helps you....

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