Answer:
[tex]4\ frac {1}{9}[/tex]
Step-by-step explanation:
The recurring part is .111111
Now the number is 4.1111111111111 and let this number be x.
If you get 10x we shall have
10x=41.1111111111..... Equation 1
x=4.11111.... Equation 2
Subtract equation 2 from 1
10x-x=41.11111111-4.11111111=37
9x=37 hence x=37/9
The number will be [tex]\frac {37}{9}=4\frac {1}{9}[/tex]
