Question

Найдите значение выражения 1) 1 целая 7/9 * (15/32 : 1 целая 19/36) 2)3 целая 4/7 : 1 целая 1/7 * 2/3 3)3 целая 4/7 : ( 1 целая 1/7 * 2/3 ) 4)(5/12 + 1/8) : 3/8 5)5/12 + 1/8 : 3/8 6)2 целых 6/7 : ( 5/6 - 9/14) 7)2 целых 6/7 : 5/6 - 9/14 8) 2 целых 1/4 : 1 целая 4/11 - 3/8 : 7/8

Answer 1

1) 1 7/9 * (15/32 : 1 19/36) = 6/11 
1) 15/32 : 1 19/36 = 15/32 : 55/36 = 15/32 * 36/55 = (3*9)/(8*11) = 27/88
2) 1 7/9 * 27/88 = 16/9 * 27/88 = (2*3)/(1*11) = 6/11

2) 3 4/7 : 1 1/7 * 2/3 = 2 1/12
1) 3 4/7 : 1 1/7 = 25/7 : 8/7 = 25/7 * 7/8 = 25/8
2) 25/8 * 2/3 = (25*1)/(4*3) = 25/12 = 2 1/12 

3) 3 4/7 : (1 1/7 * 2/3) = 4 11/16
1) 1 1/7 * 2/3 = 8/7 * 2/3 = 16/21
2) 3 4/7 : 16/21 = 25/7 * 21/16 = (25*3)/(1*16) = 75/16 = 4 11/16

4) (5/12 + 1/8) : 3/8 = 1 4/9
1) 5/12 + 1/8 = 10/24 + 3/24 = 13/24
2) 13/24 : 3/8 = 13/24 * 8/3 = (13*1)/(3*3) = 13/9 = 1 4/9

5) 5/12 + 1/8 : 3/8 = 3/4
1) 1/8 : 3/8 = 1/8 * 8/3 = 1/3
2) 5/12 + 1/3 = 5/12 + 4/12 = 9/12 = 3/4

6) 2 6/7 : (5/6 - 9/14) = 15
1) 5/6 - 9/14 = 35/42 - 27/42 = 8/42 = 4/21
2) 2 6/7 : 4/21 = 20/7 * 21/4 = (5*3)/(1*1) = 15

7) 2 6/7 : 5/6 - 9/14 = 2 11/14
1) 2 6/7 : 5/6 = 20/7 * 6/5 = (4*6)/(7*1) = 24/7 = 3 3/7
2) 3 3/7 - 9/14 = 3 6/14 - 9/14 = 2 20/14 - 9/14 = 2 11/14  

8) 2 1/4 : 1 4/11 - 3/8 : 7/8 = 1 31/140
1) 2 1/4 : 1 4/11 = 9/4 : 15/11 = 9/4 * 11/15 = (3*11)/(4*5) = 33/20 = 1 13/20
2) 3/8 : 7/8 = 3/8 * 8/7 = 3/7
3) 1 13/20 - 3/7 = 1 91/140 - 60/140 = 1 31/140 

Answer 2

1. (16/9)*((15/32)/(55/36))=(16*15*36)/(9*32*55)=6/11. 2. (25/7)/(8/7)*(2/3)=(25*7*2)/(7*8*3)=50/24=2+1/12. 3. (25/7)/((8/7)*(2/3))=(25*21)/(7*16)=75/16=4,6875. 4. (5/12+1/8)/(3/8)=((10+3)/24)/(3/8)=(13*8)/(24*3)=13/9=1+4/9. 5. 5/12+1/3=9/12=0,75. 6. (20/7)/((5/6)-(9/14))=(20/7)/((35-27)/42)=(20*42)/(7*8)=15. 7. (20/7)/(5/6)-9/14=24/7-9/14=39/14=2+11/14. 8. (9/4)/(15/11)-3/7=33/20-3/7=(231-60)/140=171/140=1+31/140.