Find rational number between 0.121221222122221 and 0.141441444144441 in p\q form
Answers
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.
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
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