Сравните дроби: 8\9 и 9\10, 11\12 и 12\13, 41\42 и 42\43, 39\40 и 38\39, 98\99 и 97\98, 1995\1996 и 1996\1997

1) 8/9 = (8 * 10)/(9 * 10) = 80/90;

9/10 = (9 * 9)/(10 * 9) = 81/90;

80 < 81;

Ответ: 8/9 < 9/10.

2) 11/12 = (11 * 13)/(12 * 13) = 143/156;

12/13 = (12 * 12)/(13 * 12) = 144/156;

143 < 144;

Ответ: 11/12 < 12/13.

3) 41/42 = (41 * 43)/(42 * 43) = 1763/1806;

42/43 = (42 * 42)/(43 * 42) = 1764/1806;

1763 < 1764;

Ответ: 41/42 < 42/43.

4) 39/40 = (39 * 39)/(40 * 39) = 1521/1560;

38/39 = (38 * 40)/(39 * 40) = 1520/1560;

1521 > 1560;

Ответ: 39/40 > 38/39.

5) 98/99 = (98 * 98)/(99 * 98) = 9604/9702;

97/98 = (99 * 97)/(98 * 99) = 9603/9702;

9604 > 9603;

Ответ: 98/99 > 97/98.

6) 1995/1996 = 3984015/3986012;

1996/1997 = 3984016/3986012;

3984015 < 3984016;

Ответ: 1995/1996 < 1996/1997.