Вычислите a) 7 7/9 - 4 1/12 + 2 3/4 б) 10 9/16 - ( 3 11/12 + 4/9) в) 17 2/3 - 6 1/36 +4 3/8 г) (20 -10 23/36 ) - (14 4/27 - 6 1/18)

Ответ:

Пошаговое объяснение:

a) 7 7/9 - 4 1/12 + 2 3/4 => НОК(9;12;4) = 36 => 7 28/36-4 3/36+2 27/36 =

= 5 (28-3+27)/36 =   5 52/36 = 6 16/36 = 6 4/9.

б) 10 9/16 - ( 3 11/12 + 4/9) => НОК(12;9) = 36 =>10 9/16 - (3 33/36+16/36) =

= 10 9/16-3 49/36 = 10 9/16 - 4 13/36 => НОК(16;36) =144 =>

10 81/144 - 4 52/144 = 6 29/144.

в) 17 2/3-6 1/36+4 3/8 =>  НОК(3;36;8)=72 =>17 48/72 - 6 2/72 +4 27/72 =

= (17-6+4)  (48-2+27)/72 = 15 73/72 = 16 1/72.

г) (20 -10 23/36 ) - (14 4/27 - 6 1/18) =>  НОК(27;18) = 54 =>  

9 13/36 - (14 8/54 - 6 3/54) = 9 13/36 - 8 5/54 => НОК(36;54)  =108 =>

9 39/108 - 8 10/108 = 1 29/108.