5/9+1 5/7*(4 2/5-2 5/8):1 3/4 6класс пример

Пошаговое объяснение:

5/9 + 1 5/7 * ( 4 2/3 - 2 5/8) : 1 3/4 = 2 5/9

1) 4 2/3 - 2 5/8 = 4 16/24 - 2 15/24 = 2 1/24

2) 1 5/7 * 2 1/24 = 12/7 * 49/24 = (1*7)/(1*2) = 7/2 = 3 1/2

3) 3 1/2 : 1 3/4 = 7/2 : 7/4 = 7/2 * 4/7 = 4/2 = 2

4) 5/9 + 2 = 2 5/9

2 - 3 1/7 * (2 - 1 9/11) : 8/21 = 1/2

1) 2 - 1 9/11 = 2/11

2) 3 1/7 * 2/11 = 22/7 * 2/11 = (2*2)/(7*1)= 4/7

3) 4/7 : 8/21= (4*21)/(7*8) = (1*3)/(1*2)= 3/2 = 1 1/2

4) 2 - 1 1/2 = 1/2

2 1/3 + 4 1/10 : (2 7/16 - 5/12) * 5/6 = 4 7/291

1) 2 7/16 - 5/12 = 2 21/48 - 20/48 = 2 1/48

2) 4 1/10 : 2 1/48 = 41/10 * 48/97 = (41*24)/(5*97) =

=984/485=2 14/485

3) 2 14/485 * 5/6 = (984*5)/(485*6) = 164/97 =1 67/97

4) 2 1/3 + 1 67/97 = 2 97/291 + 1 201/291 =

= 3 + 298/291= 3 + 1 7/291 = 4 7/291

4 5/12 - 1 1/2 : ( 2 1/6 + 8/15) * 4/5 = 3 35/36

1) 2 1/6 + 8/15 = 2 5/30 + 16/30 = 2 21/30 = 2 7/10

2) 1 1/2 : 2 7/10 = 3/2 * 10/27 = (1*5)/(1*9)=5/9

3) 5/9 * 4/5 = 4/9

4) 4 5/12 - 4/9 = 4 15/36 - 16/36 = 3 35/36