Respuesta :

Answer:

[tex]\huge\boxed{\sf \frac{34}{9}\ \ OR \ \ 3\frac{7}{9} }[/tex]

Step-by-step explanation:

Let

x = 3.777.......                (1)

Then

10x = 37.777.....             (2)

Subtracting (1) from (2)

10x - x = 37.7777..... - 3.77777.......

9x = 34

Dividing both sides by 9

x = 34 / 9

x = [tex]3 \ \frac{7}{9}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807