The LCM of denominators -5 and 2 is -10
Converting the given rational numbers into equivalent rational number having common denominator 10,
we get:
\(\frac{-2}{5}\times \frac{2}{2}\) = \(\frac{-4}{10}\) and \(\frac{1}{2}\times \frac{5}{5}\) = \(\frac{5}{10}\)
\(\frac{-4\times 2}{10\times 2}\) and \(\frac{5\times 2}{10\times 2}\)
Clearly,
-7, -6, -5,…, 10 are integers between numerators -8 and 10
Hence,
The rational numbers between \(\frac{-2}{5}\) and \(\frac{1}{2}\) are:
\(\frac{-7}{20}\), \(\frac{-6}{20}\),......... ,\(\frac{9}{20}\)
