write two rational number between -1 by 2 and 2 by 3
Answers
Answer
Rational number : any number which can be expressed in the form p/q where p and q are co - prime integer and q is not equal to 0.
It includes all whole number and integers.
Rational number between -1/2 and 2/3 can be found out by:
For any two rational number x and y not necessarily positive integers, two rational number between them will be
(x+y)/2 = z------( 1 ) Remember to take signs that + and - respectively, i.e. take x and y not |x| and |y| (Note it is the middle most number between x and y)
and Similarly,
(x+z)/2 = m (note in this z is the rational number obtained in equation 1) this will yield a rational number between z and x.
m and z will respectively be your answer.
(You can use the above two as your formulas)
Now back to your question
Two Rational number between -1/2 and 2/3,
(x+y)/2 = z
(-1/2+2/3)/2 = 1⁄12
=> z= 1⁄12
(x+z)/2 = m
(-1/2+1/12)/2 = ⁻5⁄24
These are two rational number between -1/2 and 2/3,
(1⁄12,⁻5⁄24)
Hope this meets with your query
