Question

find the rational numbers between 0.121221222122221.... and 0.141441444144441.... in the form of p/q where P/Q are integers and q is not equal to 0​

Answer 1

Given :  

0.121221222122221... and 0.141441444144441

To Find :  two rational numbers between in the form p/q, where p and q are integers and q ≠ 0

Solution:

0.121221222122221... and 0.141441444144441

number starting with 0.13  will be in between  0.121221222122221... and 0.141441444144441

Lets take  few numbers

0.13  , 0.131  , 0.132

= 13/100  ,  131/1000 ,  132/1000  

132/100   = 33/250

13/100 ,  131/1000 , 33/250 are few  rational numbers between   0.121221222122221... and 0.141441444144441  

There always exist infinite rational number between any two distinct real number

Learn More :

write a rational number which does not lie between the rational ...

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3/7 line between (a) 4/9,5/9

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Answer 2

Answer:

The rational numbers are

0.1313131313131..

0.133133133133..

0.140140140140.

Step-by-step explanation:

Given two numbers 0.121221222122221 and 0.141441444144441

we have to find rational number between above two.

Rational numbers are those numbers which can be written in the form of fraction i.e in the form of  where q can't be 0.

These are non-terminating and repeating.

0.121221222122221 and 0.141441444144441

The rational numbers are

0.1313131313131.

0.133133133133..

0.140140140140..

The above are the rational numbers which are non-terminating and repeating.