Question

Вычислите: 1) 1/4+5/6; 2/3+1/5; 1/6+3/8; 5/12+7/18; 2) 4/15+3/25; 9/16+5/24; 19/31+17/48; 41/45+43/50; 3) 5/9+1/12; 3/7+4/21; 4/35+5/21; 3/5+1/9; 4) 1/9+4/15; 5/12+1/12; 5/18+7/12; 1/5+7/18

Answer 1

Ответ:

Пошаговое объяснение:

1.6/24+20/24=26/24=13/12=1 1/12

10/15+3/15=13/15

4/24+9/24=13/24

15/36+14/36=29/36

2. 20/75+9/75=29/75

27/48+10/48=37/48

912/1488+527/1488=1439/1488

41/45+43/50=410/450+ 387/450=797/450

3. 20/36+3/36=23/36

9/21+4/21=13/21

24/210+ 50/210=74/210=37/105

27/45+5/45=32/45

4. 10/90+ 24/90=34/90

5/12+1/12=6/12=1/2

10/36+21/36=31/36

18/90+35/90=53/90

Answer 2

1) 1/4 + 5/6 = (1*3 + 5*2)/(4*3) = 13/12 2/3 + 1/5 = (2*5 + 1*3)/(3*5) = 13/15 1/6 + 3/8 = (1*4 + 3*3)/(6*4) = 10/24 = 5/12 5/12 + 7/18 = (5*9 + 7*8)/(12*9) = 83/108

2) 4/15 + 3/25 = (4*5 + 3*3)/(15*5) = 27/75 = 9/25 9/16 + 5/24 = (9*6 + 5*4)/(16*6) = 86/96 = 43/48 19/31 + 17/48 = (19*48 + 17*31)/(31*48) = 1703/1488 41/45 + 43/50 = (41*50 + 43*45)/(45*50) = 3545/2250 = 709/450

3) 5/9 + 1/12 = (5*4 + 1*3)/(9*4) = 23/36 3/7 + 4/21 = (3*3 + 4*1)/(7*3) = 13/21 4/35 + 5/21 = (4*3 + 5*5)/(35*5) = 47/105 3/5 + 1/9 = (3*9 + 1*5)/(5*9) = 32/45

4) 1/9 + 4/15 = (1*5 + 4*3)/(9*5) = 23/45 5/12 + 1/12 = (5*1 + 1*1)/(12*1) = 6/12 = 1/2 5/18 + 7/12 = (5*2 + 7*3)/(18*2) = 25/36 1/5 + 7/18 = (1*18 + 7*5)/(5*18) = 43/90