Question

express 0.57575757....in the form of p/q​

Answer 1

SOLUTION

TO EXPRESS

0.57575757....in the form of p/q

EVALUATION

Let x = 0.57575757.... - - - - - - - (1)

Multiplying both sides of Equation 1 by 100 we get

100x = 57.57575757.... - - - - - - - - (2)

Now Equation 2 - Equation 1 gives

99x = 57

$\displaystyle \sf{ \implies \: x = \frac{57}{99} }$

FINAL ANSWER

$\displaystyle \sf{0.57575757....= \frac{57}{99} }$

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