\(\frac{19,01\div0,1\times\left(208\times9+208\right)}{2,08\times100\div0,01}\)
\(=\frac{190,1\times\left(208\times9+208\times1\right)}{208\div0,01}\)
\(=\frac{190,1\times\left[208\times\left(9+1\right)\right]}{20800}\)
\(=\frac{190,1\times\left[208\times10\right]}{20800}\)
\(=\frac{190,1\times2080}{20800}\)
\(=\frac{190,1\times10\times208}{100\times208}\)
\(=\frac{1901}{100}\)
\(\frac{19,01\div0,1\times(208\times9+208)}{2,08\times100\div0,01}\)
\(=\frac{19,01\div\frac{1}{10}\times(208\times9+208\times1)}{208\div\frac{1}{100}}\)
\(=\frac{19,01\times10\times\left[208\times(9+1)\right]}{208\times100}\)
\(=\frac{19,01\times100\times208\times10}{208\times100}=19,01\times10=190,1\)
