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please help me

please help me out with these (a) I don't know how to solve this (a) 2 and 3



Please Help Meplease Help Me Out With These A I Dont Know How To Solve This A 2 And 3 class=

Sagot :

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

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