\(18\frac{13}{15}-36\frac{29}{30}+19\frac{1}{10}\)
= \(18+\frac{13}{15}-36-\frac{29}{30}+19+\frac{1}{10}\)
= \(\left(18-36+19\right)+\left(\frac{13}{15}-\frac{29}{30}+\frac{1}{10}\right)\)
= \(1+\left(\frac{26}{30}-\frac{29}{30}+\frac{3}{30}\right)\)
= \(1+0\)
= \(0\)