\(4\frac{1}{10}+4\frac{2}{10}+4\frac{3}{10}+4\frac{4}{10}\)
= \((4+4+4+4)+(\frac{1}{10}+\frac{2}{10}+\frac{3}{10}+\frac{4}{10})\)
= \(4\times4+\frac{1}{10}(1+2+3+4)\)
= \(16+\frac{1}{10}.10\)
= \(16+1=17\)
\(4\frac{1}{10}+4\frac{2}{10}+4\frac{3}{10}+4\frac{4}{10}\)
\(=4+\frac{1}{10}+4+\frac{2}{10}+4+\frac{3}{10}+4+\frac{4}{10}\)
\(=\left(4+4+4+4\right)+\left(\frac{1}{10}+\frac{2}{10}+\frac{3}{10}+\frac{4}{10}\right)\)
\(=16+\frac{10}{10}=16+1=17\)