$3frac{2}{5} imes frac{4}{{17}} + 1frac{2}{3} imes frac{2}{{15}} = ;?$

$? = frac{{17}}{5} imes frac{4}{{17}} + frac{5}{3} imes frac{2}{{15}}$

$= frac{4}{5} + frac{2}{9} = frac{{36 + 10}}{{45}}$

$= frac{{46}}{{45}} = 1frac{1}{{45}}$