Q. 84.0( 4 Votes )

Show that 0.142857142857... =.

Answer :

Let 𝑥 = 0.142857142857 …


x = 0.142857 ……..….…. (1)


Multiplying both sides by 1000000, we get


1000000 x = 142857.142857 ……….…. (2)


Subtracting equation (1) from equation (2), we get


1000000 x-x = 142857.142857 - 0.142857


999999x = 142857



Hence, proved.


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