\(\frac{64\times50+44\times100}{27\times38+146\times19}\)
\(=\frac{32\times2\times50+44\times100}{27\times38+73\times2\times19}\)
\(=\frac{32\times100+44\times100}{27\times38+73\times38}\)
\(=\frac{\left(32+44\right)\times100}{\left(27+73\right)\times38}\)
\(=\frac{76\times100}{100\times38}\)
\(=\frac{76}{38}\)
\(=2\)
\(\frac{64\times50+44\times100}{27\times38+146\times19}\)
\(=\frac{64\times50+44\times50\times2}{27\times38+73\times2\times19}\)
\(=\frac{\left(64+44\right)\times50\times2}{27\times38+73\times38}\)
\(=\frac{108\times100}{\left(27+73\right)\times38}\)
\(=\frac{108\times100}{100\times38}\)
\(=\frac{108}{38}\)
\(=\frac{27}{8}\)
