д) |2-\frac{1}{12}|:|-1\frac{1}{24}| =

д) $$|2\frac{1}{12}| : |-1\frac{1}{24}|$$

Преобразуем смешанные числа в неправильные дроби:

$$2\frac{1}{12} = \frac{2 \times 12 + 1}{12} = \frac{25}{12}$$

$$1\frac{1}{24} = \frac{1 \times 24 + 1}{24} = \frac{25}{24}$$

$$|2\frac{1}{12}| = |\frac{25}{12}| = \frac{25}{12}$$

$$|-1\frac{1}{24}| = |-\frac{25}{24}| = \frac{25}{24}$$

Выполним деление:

$$\frac{25}{12} : \frac{25}{24} = \frac{25}{12} \times \frac{24}{25} = \frac{25 \times 24}{12 \times 25} = \frac{24}{12} = 2$$

Ответ: 2