Question 90

When 0.151515.....is converted into a fraction, then the result is

Solution

Let $$x$$ = 0.151515.... --------------(i)

Multiplying both sides by 100

=> $$100x$$ = 15.151515.... ------------(ii)

Subtracting equation (i) from (ii)

=> $$100x - x$$ = (15.151515....) - (0.151515....)

=> $$99x = 15$$

=> $$x = \frac{15}{99} = \frac{5}{33}$$

So, 0.151515....written in the form p/q is 5/33

=> Ans - (A)

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