Convert $$0. 4\overline{1}$$ into fraction.

Given: 

 reoccurring decimal  $$0.4\overline{1}$$ 

Concept Used:  

​$$0.p\overline{q}$$ re-occurring decimal can be written as ,

$$0.p\overline{q} = \frac{pq - p}{90}$$​​

Solution:
x = 0.4111111.......
Multiply by 10 to remove repeating decimals.

10x = 4.111111......(1)

Multiply by 100 to remove repeating decimals.

100x = 41.1111........(2)
subtract 1 from 2

90x = 37

x = 37/90
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