\(\frac{998+999.1000}{999.1001-1}=\frac{998+999.1000}{999.\left(1000+1\right)-1}=\frac{998+999.1000}{999.1000+999.1-1}=\frac{998+999.1000}{999.1000+998}=1\)
\(\frac{998+999.1000}{999.1001-1}=\frac{998+999.1000}{999-1+999.1000}=\frac{998+999.1000}{998+999.1000}=1\)