A simple algorithm for 202 * 198 / 199

A simple algorithm for 202 * 198 / 199


=(199+3)*198/199
=199*198/199+3*198/199
=198+3*(1-1/199)
=198+3-3/199
=201-3/199
=200 and 196 / 199



Simple calculation: 199 * 201-198 ^ 2


199*201-198^2
=(198+1)×201-198×198
=198×201-198×198+201
=198×(201-198)+201
=198×3+201
=(200-2)×3+201
=600-6+201
=795



Think about it: how can 199 * 197 / 198 be easily calculated


199*197/198
=(198+1)*197/198
=198*197/198+1*197/198
=197+197/198
=197 and 197 / 198