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Give two rational numbers lying between 0.515115111511115…. and 0.5353353335….

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Let a = 0.515115111511115…. 

b = 0.5353353335…. 

We observe that the second decimal place a has digit 1 and b has digit 3, therefore, a < b. So if we consider rational numbers 

x = 0.52 

y = 0.52052052 

Then, 

a < x < y < b 

Hence, x and y are required rational numbers.

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