Question

a survey reported that 63.63 forever % of moviegoers prefer action films. this percent represents a repeating decimal. write it as a fraction.

Answer 1

let x=63.636363....(1)

Periodicity-2

Since, the bar is on 63 i.e. 2 numbers were repeating..

Multiply 100 on both sides of the een, we have=

100*x=(63.636363....)x 100x

100x=(6363.6363......).........(2)

Now, Subtract equation (1) from (2) we have

100x=6363.6363

(-)x=63.6363......

99x=63.00.0000

x=6300/99

x=700/11

hope it helps uh