SOLUTION: Provide an appropriate response. Convert the decimal .9323232... to a fraction by writing it as the infinite series A) 0.92392392 B) 0.93232323 C) 0.92207792 D) 0.923

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Provide an appropriate response. Convert the decimal .9323232... to a fraction by writing it as the infinite series A) 0.92392392 B) 0.93232323 C) 0.92207792 D) 0.923      Log On


   

Question 461009: Provide an appropriate response.
Convert the decimal .9323232... to a fraction by writing it as the infinite series
A) 0.92392392
B) 0.93232323
C) 0.92207792
D) 0.923
Found 2 solutions by MathLover1, stanbon:
Answer by MathLover1(20850) About Me  (Show Source):
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Provide an appropriate response.
Convert the decimal .9323232... to a fraction by writing it as the infinite series
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Let x = 0.932323232.....
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Then 1000x = 932.32323232....
And 10x = 9.3232323232
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Subtract to get:
990x = 932-9
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x = 923/990
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Cheers,
Stan H.
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