Question

insert 10 rational no. between -3/11 and 8/11

Answer 1

-3*10/11*10 and 8*10/11*10
-30/110 and 80/110

=>-29/110,-13/110,-1/110,5/110,9/110,17/110,29/110,46/110,61/110 and 79/110

Answer 2

$\frac{ - 3}{11} = \frac{ - 3 \times 11}{11 \times 11} = \frac{ - 33}{121} \\ \frac{8}{11} = \frac{8 \times 11}{11 \times 11} = \frac{88}{121}$
therefore 10 rational numbers between
$\frac{ - 3}{11} \: and \: \: \frac{8}{11}$
are
$\frac{87}{121} ,\\ \frac{86}{121} ,\\ \frac{85}{121} ,\frac{84}{121} ,\frac{83}{121} ,\frac{82}{121}, \frac{81}{121} ,\frac{80}{121} ,\frac{79}{121} ,\frac{78}{121}$