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,
\(=\frac{1}{2}(\frac{1}{12}+\frac{1}{2})\)
\(=\frac{1}{2}(\frac{1+6}{12})\)
\(=\frac{1}{2}\times\frac{7}{12}\)
\(=\frac{7}{24}\)