A rational number between -2/3 and 1/2 is A. -1/6 B. -1/12

Question

A rational number between \(\frac{-2}{3}\) and \(\frac{1}{2}\) is

A. \(\frac{-1}{6}\) 

B. \(\frac{-1}{12}\) 

C. \(\frac{-5}{6}\) 

D. \(\frac{5}{6}\)

Answer 1

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

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

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

\(=\frac{1}{2}(\frac{-4+3}{6})\) 

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

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