Question

express 0.093 ( bar on 0,9 and 3) in the p/q form where p and q are integers.

Answer 1

hey mate! here's your answer!
let 0.093 bar be x.
so, 1000x = 93.093(bar)
then, 1000x - x = 93.093-0.093
=> 999 x = 93
=>. x. = 93/999
=>. x. = 31/333
hence, 0.093bar in the p/q form is 31/333.

Answer 2

let x = 0.093093093........ (1)
multiplying by 1000 both side in eq. (1)
1000x = 93.093093093.....(2)
subtracting eq (2) from (1)
1000x - x = 93.093093.... - 0.093093093....
999x = 93
x = 93/999
x = 31/333 answer .