Question

express 0.252525.....in p/q form
​

Answer 1

SOLUTION

TO DETERMINE

Express 0.252525.... in p/q form

EVALUATION

Let x = 0.252525... - - - - - - (1)

Multiplying both sides of Equation 1 by 100 we get

100x = 25.252525... - - - - - - (2)

Equation 2 - Equation 1 gives

99x = 25

$\displaystyle \sf{ \implies x = \frac{25}{99} }$

FINAL ANSWER

$\displaystyle \sf{ 0.252525.... = \frac{25}{99} }$

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