Question

how to find out the rational numbers between -5/6 and 13/3 also how to find out the rational number between -5/3,13/3 and -7/8

Answer 1

Dear Student,

$$\begin{gathered} \mathrm{Rational}\mathrm{number}\mathrm{between}\frac{-5}{6}\mathrm{and}\frac{13}{3}=\frac{{\displaystyle \frac{-5}{6}}+{\displaystyle \frac{13}{3}}}{2} \\ =\frac{{\displaystyle \frac{-5+26}{6}}}{2}=\frac{21}{12} \\ =\frac{7}{4}. \\ \mathrm{Similarly},\mathrm{you}\mathrm{can}\mathrm{find}\mathrm{the}\mathrm{rational}\mathrm{number}\mathrm{between}\mathrm{other}\mathrm{numbers}. \end{gathered}$$