Question 1151073

{{{1/2! + 2/3! + 3/4! +4/5!+5/6!+6/7!+7/8!+8/9!+ 9/10! +10/11!+ 11/12!}}} 


= {{{1/(2*1) + 2/(3*2*1) + 3/(4*3*2*1) +4/(5*4*3*2*1)+5/(6*5*4*3*2*1)+6/(7*6*5*4*3*2*1)+7/(8*7*6*5*4*3*2*1)+8/(9*8*7*6*5*4*3*2*1)+ 9/(10*9*8*7*6*5*4*3*2*1) +10/(11* 10*9*8*7*6*5*4*3*2*1)+11/(12*11* 10*9*8*7*6*5*4*3*2*1)}}}

= {{{1/2 + 1/3 + 1/8 +1/30+1/144+1/840+1/5760+8/45360+ 1/403200 +1/3991680+1/43545600}}}

common denominator:  {{{479001600}}}

={{{(239500800+159667200+59875200+15966720+3326400+570240+83160+10560+1188+120+11)/479001600}}}

={{{479001599/479001600}}}

={{{0.9999999979123243}}}

={{{1}}}