Question

find any ten rational numbers between minus 5 by 6 and 5 by 8

Answer 1

LCM of 6 and 8 = 24

$\frac{5}{6} = \frac{5 \times 4}{6 \times 4} = \frac{20}{24} \\ \\ \frac{5}{8} = \frac{5 \times 3}{8 \times 3} = \frac{15}{24}$



Then,

$\frac{20}{24} > \frac{15}{24}$



As we have to find 10 rational numbers, Multiply by 11 on both nomenator and denominator,


$\frac{20(11)}{24(11)} > \frac{15(11)}{24(11)} \\ \\ \frac{220}{264} > \frac{165}{264}$



Then, ten rational numbers are


$\frac{219}{264} \\ \\ \frac{218}{264} \\ \\ \frac{217}{264} \\ \\ \frac{216}{264} \\ \\ \frac{215}{264 } \\ \\ \frac{214}{264} \\ \\ \frac{213}{264} \\ \\ \frac{212}{264 } \\ \\ \frac{211}{264} \\ \\ \frac{210}{264} \\ \\ \frac{209}{264}$





I hope this will help you


(-:

Answer 2

the net rational no.between the given is -51/69,-52/69,-53/69,-54/69and so on