Wednesday, March 18, 2009

changing recurring decimal to fraction

change 0.48484848... into a fraction

let x = 0.48484848...
multiply by 100 ( to get the recurring digits on the other side of the decimal point )

100x = 48.48484848...


99x = 48
x =48 / 99 = 16 / 33

try the following page for the same problem worked out using the concept of the sum of an infinite GP

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