Question

Between which two consecutive integer does the rational number 9/13
lie

Answer 1

Given : rational number 9/13

To find :  Between which two consecutive integer does the rational number lie

Solution:

Let say  9/13  lies between

a  & a + 1

=> a  <  9/13  < a  + 1

=> 13a  < 9

=>  a < 1

=> a = 0

or  9/13  <  a + 1

=> 9 < 13a  + 13

=> -4 < 13a

=> a = 0

Hence 9/13 lies between 0 & 1  

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