The LCM of denominators 4 and 2 is 4
Converting the given rational numbers into equivalent rational number having common denominator 4
we get:
\(\frac{1}{4} = \frac{1}{4}\) and \(\frac{1}{2} = \frac{2}{4}\)
\(\frac{1\times 20}{4\times 20}\) and \(\frac{2\times 20}{4\times 20}\)
\(\frac{20}{80}\) and \(\frac{40}{80}\)
Clearly,
21, 22, 23,…, 39 are integers between numerators 20 and 40
Hence,
The rational numbers between \(\frac{1}{4}\) and \(\frac{1}{2}\) are:
\(\frac{21}{80}\), \(\frac{22}{80}\),......,\(\frac{39}{80}\)
