well, rational = fractional, namely something you can write as a fraction, well, anything between -1 and -2 is just less than -1 so
[tex]\bf \boxed{-2}\dotfill \stackrel{-1-\frac{1}{4}}{-\cfrac{5}{4}}\dotfill\stackrel{-1-\frac{1}{10}}{-\cfrac{11}{10}}\dotfill \stackrel{-1-\frac{1}{99}}{-\cfrac{100}{99}}\dotfill \boxed{-1}[/tex]