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Find a rational number between 2 and 3.

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To find a rational number x between two rational numbers \(\frac{a}{b}\) and \(\frac{c}{d},\) we use

\(\text{x} =\frac{1}{2}(\frac{a}{b}+\frac{c}{d})\)

Therefore, to find rational number x (let) between 2 and 3

\(\text{x}=\frac{1}{2}(2+3)\)

\(\Rightarrow\) \(\text{x}=\frac{1}{2}\times5\)

\(\Rightarrow\) \(\text{x}=\frac{5}{2}\)

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