Question

insert 10 rational numbers between -3/11 and 8/11​

Answer 1

hey mate here is your answer. hope it helps!!

Answer 2

$10 numbers: \\ \\ \frac{-3}{11} < \bold{\frac{-2}{11} < \frac{-1}{11} < \frac{0}{11} < \frac{1}{11} < \frac{2}{11} < \frac{3}{11} < \frac{4}{11} < \frac{5}{11} < \frac{6}{11} < \frac{7}{11}} < \frac{8}{11}$

$\frac{-3}{11}=\frac{-3\times2}{11\times 2}=\frac{-6}{22} \\ \\ \frac{8}{11}=\frac{8\times2}{11\times 2}=\frac{16}{22} \\ \\ \\ 21 numbers: \\ \\ \frac{-6}{22} < \bold{\frac{-5}{22} < \frac{-4}{22} < \frac{-3}{22} < \frac{-2}{22} < \frac{-1}{22} < \frac{0}{22} < \frac{1}{22} < \frac{2}{22} < \frac{3}{22} < \frac{4}{22} < \frac{5}{22} < \frac{6}{22} < \frac{7}{22} < \frac{8}{22}} \\ \\ \bold{< \frac{9}{22} < \frac{10}{22} < \frac{11}{22} < \frac{12}{22} < \frac{13}{22} < \frac{14}{22} < \frac{15}{22}} < \frac{16}{22}$