I am suppose to convert this to a fraction using paper and not a calculator...

.9595...

help :/

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- Nov 28th 2007, 08:09 PMmathtarded[SOLVED] Convert to fraction..
I am suppose to convert this to a fraction using paper and not a calculator...

.9595...

help :/ - Nov 28th 2007, 09:00 PMearboth
Hello,

let your number be x. The number of repeating decimals is 2. Thus multiply your number by 100 (2 zeros):

$\displaystyle \begin{array}{l}100x = 95.959595...\\ \ \ \ \ x=\ 0.959595...\end{array}$

Subtract and you'll get:

$\displaystyle 99x = 95~\implies~x=\frac{95}{99}$