Answer to this math question

Answer:
[tex]4\frac{2}{3}[/tex]
Step-by-step explanation:
This is a recurring decimal.
Let x = 4.666666... ⇒ (1)
10x = 46.66666... ⇒ (2)
Subtract equation (1) from equation (2)
10x = 46.66666..
- x = 4.666666...
9x = 42.0000.....
9x = 42
x = 42/9
= 14/3
=[tex]4\frac{2}{3}[/tex]