Чтобы выполнить деление, заменим его на умножение обратной дроби:
1) 6/25 : 9/5 = 6/25 * 5/9 = (6 * 5)/(25 * 9) = (3 * 2 * 5)/(5 * 5 * 3 * 3) = 2/(5 * 3) = 2/15;
2) 8/27 : 8/9 = 8/27 * 9/8 = (8 * 9)/(27 * 8) = (8 * 9)/(9 * 3 * 8) = 1/3;
3) 9 5/7 : 1 23/28 = (9 * 7 + 5)/7 : (1 * 28 + 23)/28 = 68/7 : 51/28 = 68/7 * 28/51 = (4 * 17 * 7 * 4)/(7 * 17 * 3) = 16/3 = 5 1/3;
4) 6 2/3 : 1 1/8 = 20/3 : 9/8 = 20/3 * 8/9 = (20 * 8)/(3 * 9) = 160/27 = 5 25/27;
5) 57 : 19/24 = 57 * 24/19 = (3 * 19 * 24)/19 = 72;
6) 36/47 : 18 = 36/47 * 1/18 = (2 * 18)/(47 * 18) = 2/47.
Чтобы выполнить деление, заменим его на умножение обратной дроби:
1) 6/25 : 9/5 = 6/25 * 5/9 = (6 * 5)/(25 * 9) = (3 * 2 * 5)/(5 * 5 * 3 * 3) = 2/(5 * 3) = 2/15;
2) 8/27 : 8/9 = 8/27 * 9/8 = (8 * 9)/(27 * 8) = (8 * 9)/(9 * 3 * 8) = 1/3;
3) 9 5/7 : 1 23/28 = (9 * 7 + 5)/7 : (1 * 28 + 23)/28 = 68/7 : 51/28 = 68/7 * 28/51 = (4 * 17 * 7 * 4)/(7 * 17 * 3) = 16/3 = 5 1/3;
4) 6 2/3 : 1 1/8 = 20/3 : 9/8 = 20/3 * 8/9 = (20 * 8)/(3 * 9) = 160/27 = 5 25/27;
5) 57 : 19/24 = 57 * 24/19 = (3 * 19 * 24)/19 = 72;
6) 36/47 : 18 = 36/47 * 1/18 = (2 * 18)/(47 * 18) = 2/47.