Question

find 10 rational numbers between -3/11 and 8/11

Answer 1

Multiply the rationals to expand-
-3x10/11x10  and  8x10/11x10
= -30/110 and 80/110
= -20/110, 1/110, 79/110, 42/110, 53/110, 49/110, -1/110, 72/110, 33/110, 22/110
:-)

Answer 2

The ten rational numbers between $-\frac{3}{11}\ and\ \frac{8}{11}$ are -$\frac{3}{11},-\frac{2}{11},-\frac{1}{11}, \frac{0}{11}, \frac{1}{11}, \frac{2}{11}, \frac{3}{11}, \frac{4}{11}, \frac{5}{11}, \frac{6}{11}, \frac{7}{11}$.

Since the denominators are the same value, we need not to sort the denominator such that the value of possible rational numbers are given below in the following series,  

$-\frac{3}{11},-\frac{2}{11},-\frac{1}{11}, \frac{0}{11}, \frac{1}{11}, \frac{2}{11}, \frac{3}{11}, \frac{4}{11}, \frac{5}{11}, \frac{6}{11}, \frac{7}{11}$

The above are the possible rational numbers between $-\frac{3}{11}\ to\ \frac{8}{11}$.

$(\frac{0}{11}= 0$ which is a valid integer such that the value is also a proper rational number). So, the series contains positive set of numbers.