Для решения данного задания, вспомним, что всякое составное число может быть единственным образом представлено в виде произведения простых множителей.
1) 27 : 3 = 9;
9 : 3 = 3;
3 : 3 = 1;
27 = 3 · 3 · 3.
2) 56 : 2 = 28;
28 : 2 = 14;
14 : 2 = 7;
7 : 7 = 1;
56 = 2 · 2 · 2 · 7;
3) 625 : 5 = 125;
125 : 5 = 25;
25 : 5 = 5;
5 : 5 = 1;
625 = 5 · 5 · 5 · 5.
4) 820 : 2 = 410;
410 : 2 = 205;
205 : 5 = 41;
41 : 41 = 1;
820 = 2 · 2 · 5 · 41.
5) 2772 : 2 = 1386;
1386 : 2 = 693;
693 : 3 = 231;
231 : 3 = 77;
77 : 7 = 11;
11 : 11 = 1
2772 = 2 · 2 · 3 · 3 · 7 · 11.
6) 702 : 2 = 351;
351 : 3 = 117;
117 : 3 = 39;
39 : 3 = 13;
13 : 13 = 1;
702 = 2 · 3 · 3 · 3 · 13.
7) 1224 : 2 = 612;
612 : 2 = 306;
306 : 2 = 153;
153 : 3 = 51;
51 : 3 = 17;
17 : 17 = 1;
1224 = 2 · 2 · 2 · 3 · 3 · 17
А) 12/14=6/7,8/34=4/17,35/45=7/9,28/63=4/9,24/32=3/4,51/68=3/4,60/75=4/5,63/81=7/9,18/45=2/5,55/77=5/7,63/72=7/8,30/45=5/9.
Б) 56/63=8/9,6/26=3/13,40/64=5/8,18/21=6/7,24/54=4/9,30/45=2/3,35/63=5/9,48/60=4/5,54/72=3/4,18/78=3/13,84/96=7/8,28/48=7/12,72/84=6/7,32/56=4/7,45/63=5/7.
В) 56/72=7/9,36/45=4/5,24/68=6/17,36/63=4/7,40/45=8/9,30/75=2/5,24/28=6/7,45/72=5/8,49/56=7/8,36/76=9/19,65/91=5/7,35/65=7/13,36/84=3/7,28/70=2/5,20/85=4/17.
Г) 26/65=2/5,56/96=7/12,9/39=3/13,27/36=3/4,16/68=4/17,26/39=2/3,60/84=5/7,49/63=7/9,32/72=4/9,30/35=6/7,64/72=8/9,30/85=6/17,52/65=4/5,35/56=5/8,48/54=8/9.
Д) 36/81=4/9,54/63=6/7,18/38=9/19,14/51=14/51,57/76=3/4,60/96=5/8,4/6=2/3,42/78=7/13,39/91=3/7,12/52=3/13,52/91=4/7,42/49=6/7,40/72=5/9,56/64=7/8,21/91=3/13.
Е) 15/65=3/13,45/81=5/9,32/40=4/5,48/84=4/7,34/85=2/5,49/84=7/12,48/56=6/7,12/51=6/17,68/85=4/5,42/54=7/9,72/81=8/9.
Пошаговое объяснение: