Question

Finding the tree rational number b/w 2rational numbers

Answer 1

${\huge{\underline{\underline {\sf {Answer}}}}}$

${\underline{\underline {\rm{Given:}}}}$

• Finding the tree rational number b/w 2rational numbers

${\underline{\underline {\rm{Solution:}}}}$

Let us take the numbers be $\dfrac {3}{1}$ and $\dfrac {7}{2}$

• To find rational number between any two numbers we have to first make their denominators same.

Now,

= $\dfrac {3}{1}$ ; $\dfrac {7}{2}$

= $\dfrac {6}{2}$ and $\dfrac {7}{2}$

• Then , we have to multiple the 1 number extra which is asked in the question; that is ( n + 1 )

As, we have to find 3 rational numbers then ( n+1) = (3 +1) = 4

Multiple 4 to both the rational numbers

= $\dfrac {6}{2}$ ; $\dfrac {7}{2}$

= $\dfrac {6×4}{2×4}$ ; $\dfrac {7×4}{2×4}$

= $\dfrac {24}{8}$ ; $\dfrac {28}{8}$

• Now, find the required numbers between the rational numbers

The 3 rational numbers are :-

= $\dfrac {24}{8}$ < $\dfrac {25}{8}$ < $\dfrac {26}{8}$ < $\dfrac {27}{8}$ < $\dfrac {28}{8}$

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