Q9 of 104 Page 491

Express as a rational number.

Let ,x = 0.6666…


⇒ x = 0.6 + 0.06 + 0.006 + …


⇒ x = 6(0.1 + 0.01 + 0.001 + 0.0001 + …∞)


⇒ x = 6()


This is an infinite geometric series.


Here,a = 1/10 and r = 1/10



∴ x


Ans: =


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