Respuesta :

chikafujiwara

[tex]x = 0.4828282[/tex]

[tex]1000x = 482.828282[/tex]

[tex]999x = 482.346[/tex]

[tex]x = \frac{482}{999} + \frac{362}{1000} [/tex]

[tex]x = \frac{843638}{999000} [/tex]

TheStranger

Answer:

[tex]\dfrac{239}{495}[/tex]

Step-by-step explanation:

[tex]\text {Let x = } 0.4 \overline {82}[/tex]

[tex]1000x = 482. \overline {82}[/tex]

[tex]10x = 4. \overline {82}[/tex]

[tex]1000x - 10x = 482. \overline {82} - 4. \overline {82}[/tex]

[tex]990x = 478[/tex]

[tex]x = \dfrac{478}{990}[/tex]

[tex]x = \dfrac{239}{495}[/tex]