Выразите числа 2, 3 и 4 в виде дробей, удоволетвопяющих условиям. 1) знаменатель равен 4. 2) знаменатель равен 12.3) знаменатель равен 9

Чтобы привести дробь к необходимому знаменателю, домножим числитель и знаменатель на такие одинаковые числа n, чтобы в знаменателе в итоге получить заданное число.

а) 2 = 2/1 = (2 ⋅ 4) / (1 ⋅ 4) = 8/4;

3 = 3/1 = (3 ⋅ 4) / (1 ⋅ 4) = 12/4;

4 = 4/1 = (4 ⋅ 4) / (1 ⋅ 4) = 16/4;

б) 2 = 2/1 = (2 ⋅ 12) / (1 ⋅ 12) = 24/12;

3 = 3/1 = (3 ⋅ 12) / (1 ⋅ 12) = 36/12;

4 = 4/1 = (4 ⋅ 12) / (1 ⋅ 12) = 48/12;

в) 2 = 2/1 = (2 ⋅ 9) / (1 ⋅ 9) = 18/9;

3 = 3/1 = (3 ⋅ 9) / (1 ⋅ 9) = 27/9;

4 = 4/1 = (4 ⋅ 9) / (1 ⋅ 9) = 36/9;