Question

Обчисліть:


1) 14 11/12 - 5 3/4 + 3 5/8


2) 8 7/12 + 9 2/15 - 11 9/10


3) 24 - 12 15/32 - 7 11/12


4) 6 9 20 -( 2 2/5 + 2 5/8


5) (8 3/14 - 1 4/5) -2 5/7=


6) 7 3 8 -( 5 11/24 - 3 2/5

Answer 1

Ответ:

1) 14 11/12 - 5 3/4 + 3 5/8 = 14 + 11/12 - 5 - 3/4 + 3 + 5/8 = 14 - 5 + 3 + 11/12 - 3/4 + 5/8 = 12 + 11/12 - 3/4 + 5/8 = 12 + (11*2)/(12*2) - (3*3)/(4*3) + (5*3)/(8*3) = 12 + 22/24 - 9/12 + 15/24 = 12 + 11/12 - 3/4 + 5/8 = 12 11/12 - 3/4 + 5/8.

2) 8 7/12 + 9 2/15 - 11 9/10 = 8 + 7/12 + 9 + 2/15 - 11 - 9/10 = 8 + 9 - 11 + 7/12 + 2/15 - 9/10 = 6 + 7/12 + 2/15 - 9/10 = 6 + (7*5)/(12*5) + (2*4)/(15*4) - (9*6)/(10*6) = 6 + 35/60 + 8/60 - 54/60 = 6 + (35 + 8 - 54)/60 = 6 - 11/60.

3) 24 - 12 15/32 - 7 11/12 = 24 - 12 - 15/32 - 7 - 11/12 = 24 - 12 - 7 - 15/32 - 11/12 = (24*32)/(32*1) - (12*32)/(32*1) - (7*32)/(32*1) - 15/32 - 11/12 = (768 - 384 - 224)/32 - 15/32 - 11/12 = 160/32 - 15/32 - 11/12 = (160 - 15 - 11)/32 = 134/32.

4) 6 9 20 - (2 2/5 + 2 5/8) = 6 + 9 + 20 - (2 + 2/5 + 2 + 5/8) = 6 + 9 + 20 - (4/5 + 2 + 5/8) = 6 + 9 + 20 - (4/5 + 2 + 5/8) = 6 + 9 + 20 - (32/40 + 2 + 25/40) = 6 + 9 + 20 - (32 + 2 + 25)/40 = 35 - (59/40) = 35 - (1 + 19/40) = 35 - (40 + 19)/40 = 35 - 59/40.

5) (8 3/14 - 1 4/5) - 2 5/7 = (8 + 3/14) - (1 + 4/5) - 2 - 5/7 = 8 + 3/14 - 1 - 4/5 - 2 - 5/7 = 8 - 1 + 3/14 - 4/5 - 2 - 5/7 = (112/14

Пошаговое объяснение: