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Find two rational numbers lying between \(\frac{-1}{3}\) and \(\frac{1}{2}.\)

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Rational number between \(\frac{-1}{3}\) and \(\frac{1}{2}\)

\(=\frac{1}{2}(\frac{-1}{3}+\frac{1}{2})\)

\(=\frac{1}{2}(\frac{-1\times2+1\times3}{6})\)

\(=\frac{1}{2}(\frac{-2+3}{6})\)

\(\frac{1}{2}\times\frac{1}{6}\)

\(\frac{1}{12}\)

Now,

\(=\frac{1}{2}(\frac{1}{12}+\frac{1}{2})\)

\(=\frac{1}{2}(\frac{1+6}{12})\)

\(=\frac{1}{2}\times\frac{7}{12}\)

\(=\frac{7}{24}\)

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