Answer:
[tex]\frac{11}{6}[/tex]
Step-by-step explanation:
Let x = 1.8333333....... --------(1)
Multiply both sides by 100
We get,
100x = 183.333333....... -------(2),
Equation (2) - Equation (1),
100x - x = 183.333333....... - 1.8333333.......
99x = 181.5
Again multiply 10 on both sides,
990x = 1815
Divide both sides by 990
[tex]x=\frac{1815}{990}=\frac{11}{6}[/tex]
From equation (1),
[tex]1.8333333....... = \frac{11}{6}[/tex]
Where, 21 and 6 are integers and 6 ≠ 0,