Question

Find five rational numbers between:
$\frac{1}{4}and\frac{1}{2}$

Answer 1

$\frac{1}{4}and\frac{1}{2}$
LCM of 4 and 2 is 4.
$\therefore \frac{1}{4}\times \frac{1}{1}=\frac{1}{4}and\frac{1}{2}\times \frac{2}{2}=\frac{2}{4}Again\frac{1}{4}\times \frac{8}{8}=\frac{8}{32}and\frac{2}{4}\times \frac{8}{8}=\frac{16}{32}\therefore \text{Five rational numbers between}\frac{1}{4}and\frac{1}{2}are\frac{9}{32},\frac{10}{32},\frac{11}{32},\frac{12}{32},\frac{13}{32}.$