1)а) 75 = 3 5 536 = 2 2 3 318 = 2 3 328 = 2 2 763 = 3 3 78 = 2 2 216 = 2 2 2 248 = 2 2 2 2 3б) 20 = 2 2 545 = 3 3 550 = 2 5 512 = 2 2 398 = 2 7 740 = 2 2 2 580 = 2 2 2 2 5112 = 2 2 2 2 * 7
2)а) (36/28) (8/63) = (2 2 3 3 / 2 2 7) (2 2 / 3 3 7) = (3/7) (4/21) = 12/147 = 4/49б) (16/18) / (48/75) = (2 2 2 2 / 2 3 3) / (2 2 2 2 3 / 3 5 5) = (1/3) / (1/25) = 25/3в) (12/20) (45/50) = (2 2 3 / 2 2 5) (3 3 5 / 2 5 5) = (3/5) (9/10) = 27/50г) (40/98) / (80/112) = (2 2 2 5 / 2 7 7) / (2 2 2 2 5 / 2 2 2 * 7) = (5/49) / (5/14) = 14/49 = 2/7
1)
а) 75 = 3 5 5
36 = 2 2 3 3
18 = 2 3 3
28 = 2 2 7
63 = 3 3 7
8 = 2 2 2
16 = 2 2 2 2
48 = 2 2 2 2 3
б) 20 = 2 2 5
45 = 3 3 5
50 = 2 5 5
12 = 2 2 3
98 = 2 7 7
40 = 2 2 2 5
80 = 2 2 2 2 5
112 = 2 2 2 2 * 7
2)
а) (36/28) (8/63) = (2 2 3 3 / 2 2 7) (2 2 / 3 3 7) = (3/7) (4/21) = 12/147 = 4/49
б) (16/18) / (48/75) = (2 2 2 2 / 2 3 3) / (2 2 2 2 3 / 3 5 5) = (1/3) / (1/25) = 25/3
в) (12/20) (45/50) = (2 2 3 / 2 2 5) (3 3 5 / 2 5 5) = (3/5) (9/10) = 27/50
г) (40/98) / (80/112) = (2 2 2 5 / 2 7 7) / (2 2 2 2 5 / 2 2 2 * 7) = (5/49) / (5/14) = 14/49 = 2/7