Question

Aratati ca rezultatul calcului [(1/15-1/18) : 1/45+1/60 : (1/12 - 1/15] : 1 1/2 este numar natural.
Dau coroana

Answer 1

(( 1/15 - 1/18) : 1/45 + 1/60 : ( 1/12 - 1/15 )) : 1 1/2=
1/15 - 1/18 = 18/270 - 15/270 = 3/270 simplific cu 3 =1/90
1/12 - 1/15 = 15 /180 - 12/180 = 3/180 simplific cu 3 = 1/60
1 1/2 = ( 2x1+1)/2= 3/2
( 1/90 : 1/45 + 1/60 : 1/60) : 3/2 =
( 1/90 x 45/1 + 1/60 x 60/1) : 3/2 =
(1/2 + 1) : 3/2=
(1/2 + 2/2) : 3/2=
3/2 : 3/2=
3/2 x 2/3 =1