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 \(\text{x}\) (let) between \(\frac{1}{4}\) and \(\frac{1}{3}\)
\(\text{x}= \frac{1}{2}(\frac{1}{4}+\frac{1}{3})\)
\(\Rightarrow\) \(\text{x}=\frac{1}{2}(\frac{1\times3+1\times4}{12})\)
\(\Rightarrow\) \(\text{x}=\frac{1}{2}(\frac{3+4}{12})\)
\(\Rightarrow\) \(\text{x}=\frac{1}{2}\times\frac{7}{12}\)
\(\Rightarrow\) \(\text{x}=\frac{7}{24}\)
