Question

Convert 0.545454...... in the
form of p/q​

Answer 1

Answer:

x=0.54 - *100 (because of 2 decimal places)

100x=54.54

100x=54.54-x=0.54

=>99x=54

x=54/99=18/33=6/11

therefore p/q form of 0.5454545454.... is 6/11.

Answer 2

SOLUTION

TO DETERMINE

Convert 0.545454.... in the form of p/q

EVALUATION

Let x = 0.545454.... - - - - - - (1)

Multiplying both sides of Equation 1 by 100 we get

100x = 54.545454.... - - - - - - (2)

Equation 2 - Equation 1 gives

99x = 54

$\displaystyle \sf{ \implies x = \frac{54}{99} }$

$\displaystyle \sf{ \implies x = \frac{6}{11} }$

FINAL ANSWER

$\displaystyle \sf{ 0.545454...= \frac{6}{11} }$

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