Respuesta :
x = 0,(15) | * 100
100x = 15,(15) | - 0,(15)
99x = 15 | ÷ 99
x = 15/99 = 5/33
100x = 15,(15) | - 0,(15)
99x = 15 | ÷ 99
x = 15/99 = 5/33
[tex]x=0.\overline{15}\\100x=15.\overline{15}\\\\100x-x=15.\overline{15}-0.\overline{15}\\99x=15\\x=\dfrac{15}{99}=\dfrac{5}{33}[/tex]