1. $\left(\frac{191919}{989898}+\frac{190190}{980980}+\frac{19001900}{98009800}\right) \div \frac{19}{98} \times \frac{9898}{1919}=$
1. Solution: Original expression $=\left(\frac{19 \times 10101}{98 \times 10101}+\frac{190 \times 1001}{980 \times 1001}+\frac{1900 \times 10001}{9800 \times 10001}\right) \div \frac{19}{98} \times \frac{98 \times 101}{19 \times 101}$
$$
\begin{array}{l}
=\left(\frac{19}{98}+\frac{19}{98}+\frac{19}{98}\right) \times \frac{98}{19} \times \frac{98}{19} \\
=3 \times \frac{19}{98} \times \frac{98}{19} \times \frac{98}{19}=\frac{294}{19}=15 \frac{9}{19} .
\end{array}
$$