Question

Find the three rational number between -5÷6 and 5÷8

Answer 1

$\frac{ - 5}{6} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \frac{5}{8} \\ \\ here \: LCM \: is \: 24 \\ then \: the \: fraction \: equivalent \: to \\ \frac{ - 5}{6} \: is \: \frac{ - 20}{24} \: \: \& \: \frac{5}{8} is \: \frac{15}{24}$

Therefore, The required rational may be

$\frac{ - 10}{24} , \frac{ - 5}{24} , \frac{ - 15}{24} , \frac{ - 1}{24} , \frac{0}{24} , \frac{12}{24} , \frac{11}{24} , \frac{5}{24}$

and many more....