Answer:
Step-by-step explanation:
Rational number between 2 and 3 = [tex]\frac{2+3}{2}=\frac{5}{2}[/tex]
[tex]2 < \frac{5}{2} < 3[/tex]
Now, find the rational number between 2 and 5/2
Rational number between 2 and 5/2 = [tex]\frac{1}{2}(2 + \frac{5}{2})=\frac{1}{2}*(\frac{2*2}{1*2}+\frac{5}{2})=\frac{1}{2}(\frac{4}{2}+\frac{5}{2})=\frac{1}{2}*\frac{9}{2}=\frac{9}{4}[/tex]
[tex]2 < \frac{9}{4} < \frac{5}{2} < 3[/tex]
Rational number between 5/2 and 3 is
[tex]= \frac{1}{2}(\frac{5}{2}+3)=\frac{1}{2}(\frac{5}{2}+\frac{3*2}{1*2})=\frac{1}{2}*(\frac{5}{2}+\frac{6}{2})=\frac{1}{2}*\frac{11}{2}=\frac{11}{4}[/tex]
Rational numbers between 2 and 3 are
9/4 , 5/2 , 11/4
