cancelling numerator and denominator!!!

When calculating 1/3, we get .33333333333..... likewise, when we calculate 3/1, we get 3. but wat is 1/3*3/1?? usually we cancel the 3s in the numerator and denominator and the answer is one. but actual calculation gives 1/3*3/1=.3333333.....*3=.99999999.. so how far r we accurate in findin this?? is cancellation of common numerator and denominator accurate??

Respovse1:

cancellation of common numerator n denominator is applicable for any non-zero number and this will always give the exact solution.

Response2:

0.333333.... and 0.999999...
both are infinite GP series .... take the limit of sum and you shall get the same values ..namely ..... 1/3 and 1

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