Question

Find any ten rational numbers between `(-5)/6 "and" 5/8`.

Answer 1

We first convert `(-5)/6 "and" 5/8` to rational numbers with the same denominators.

`(-5 xx 4)/(6 xx 4) = (-20)/24  "and"  (5 xx 3)/(8 xx 3) = 15/24`.

 

Thus we have `(-19)/24, (-18)/24, (-17)/24, ........, (14)/24` as the rational numbers between`(-20)/24  "and"  15/24`.