Question

Express 0.181818... in the form of p/q

Answer 1

X=0.181818....( i)

100x=18.181818..... (ii)

by subtracting eq ii from I we get

100x=18.181818.....

- X=0.181818...

99x =18

X=18/99

Answer 2

Answer = 2 / 11

step by step explanation :-

we can write 0.181818 as 0.18 bar (bar is on 18)

Let x = 0.18181818 (Equation 1)

multiply 100 on  both the sides

we get 100x = 18.181818 (Equation 2)

now we will subtract Equation 1 from 2

100x = 18.181818

      x =  0.181818

   99x =  18

x = 18 / 99

simplest form = 2 / 11

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