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!