Question

find the rational number corresponding to the decimal representation 0.54787878787878..........​

Answer 1

we take x=0.54787878.........(1)

then we multiply 100 on both sides

=>100x=54.78787878787878........(2)

(2)-(1)

100x=54.787878.......

x= 0.78787878.........

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99x=54

x=54/99

x=6/11