Question

Calculati: [(0,41(6)-0,125):(-0,3125)+0,58(3)]:(-0,6):0,025=?.

Answer 1

[(0,41(6)-0,125):(-0,3125)+0,58(3)]:(-0,6):0,025=

= [ (416-41)/900-125/1000 : (-3125/10000 + (583-58)/900] : (-6/10) : 25/1000 =

= [ (375/900-1/8): (-625/2000)+525/900] : (-3/5) : 1/40 =

= [(5/12-1/8) :(-5/16)+ 21/36]: (-3/5) × 40 =

= [(5×2 - 3)/24 × (-16/5) + 21/36]:(-120/5) =

= [7/24 × (-16/5) + 21/36]: (-24) =

=( - 112/120 + 21/36) : (-24) =

= (-28/30 + 21/36) : (-24) =

= (- 14/15 + 7/12) : (-24) =

= (-14 × 4 + 7×5)/60 : (-24) =

= (-56 + 35)/60 : (-24) =

= -21/60 × (-1/24) =

= 21/60×24 =

= 21/1440 =

= 7/480