А) 24 : 6 = 4
5/6 = (5*4)/(6*4) = 20/24
б) 65 : 13 = 5
12/13 = (12*5)/(13*5) = 60/65
в) 57 : 19 = 3
11/19 = (11*3)/(19*3) = 33/57
г) 78 : 13 = 6
12/13 = (12*6)/(13*6) = 72/78
298.
4/5 = (4*2)/(5*2) = 8/10 = 0,8
8/25 = (8*4)/(25*4) = 32/100 = 0,32
1/4 = (1*25)/(4*25) = 25/100 = 0,25
3/50 = (3*2)/(50*2) = 6/100 = 0,06
17/20 = (17*5)/(20*5) = 85/100 = 0,85
300.
а) 2 и 7 взаимно просты поэтому:
5/7 = (5*2)/(7*2) = 10/14
1/2 = (1*7)/(2*7) = 7/14
б) НОК(20, 15) = 60
7/20 = (7*3)/(20*3) = 21/60
1/15 = (1*4)/(15*4) = 4/60
в) НОК(26, 39) = 78
3/26 = (3*3)/(26*3) = 9/78
5/39 = (5*2)/(39*2) = 10/78
г) 11 и 8 взаимно просты
8/11 = (8*8)/(11*8) = 64/88
5/8 = (5*11)/(8*11) = 55/88
д) 13 и 11 взаимно просты
7/13 = (7*11)/(13*11) = 77/143
2/11 = (2*13)/(11*13) = 26/143
е) НОК(22, 33) = 66
3/22 = (3*3)/(22*3) = 9/66
2/33 = (2*2)/(33*2) = 4/66
ж) НОК(60, 540, 20) = 540
7/60 = (7*9)/(60*9) = 63/540
9/20 = (9*27)/(20*27) = 243/540
з) НОК(105, 95, 63) = 5985
52/105 = (52*57)/(105*57) = 2964/5985
7/95 = (7*63)/(95*63) = 441/5985
61/63 = (61*95)/(63*95) = 5795/5985