question_answer

Find ten rational number between \[\frac{-2}{5}\] and\[\frac{1}{2}\].

Answer:

L.C.M of 5 and 2 is 10

\[\therefore \]    \[\frac{-2}{5}\times \frac{2}{2}=\frac{-4}{10}\] and \[\frac{1}{2}\times \frac{5}{5}=\frac{5}{10}\]

Again,  \[\frac{-4}{10}\times \frac{2}{2}=\frac{-8}{20}\]and \[\frac{5}{10}\times \frac{2}{2}=\frac{10}{20}\]

\[\therefore \] Ten rational numbers between \[\frac{-2}{5}\]and \[\frac{1}{2}\]are

\[\frac{-7}{20},\frac{-6}{20},\frac{-5}{20},\frac{-4}{20},\frac{-3}{20},\frac{-2}{20},0,\frac{1}{20},\frac{1}{20}\]