Answer: [tex]1.\bar{21}=\frac{40}{33}[/tex]
Step-by-step explanation:
Since we have given that
[tex]1.\bar{21}[/tex]
Let x = [tex]1.\bar{21}[/tex] --------------(1)
Multiplying by 100 on both the sides:
[tex]100x=121.\bar{21}---------------(2)[/tex]
Subtracting (1) from (2), we get,
[tex]100x-x=121.\bar{21}-1.\bar{21}\\\\99x=120\\\\x=\frac{120}{99}\\\\x=\frac{40}{33}[/tex]
Hence, [tex]1.\bar{21}=\frac{40}{33}[/tex]
