# [SOLVED] Convert to fraction..

• November 28th 2007, 09:09 PM
mathtarded
[SOLVED] Convert to fraction..
I am suppose to convert this to a fraction using paper and not a calculator...

.9595...

help :/
• November 28th 2007, 10:00 PM
earboth
Quote:

Originally Posted by mathtarded
I am suppose to convert this to a fraction using paper and not a calculator...

.9595...

help :/

Hello,

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

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

Subtract and you'll get:

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