5.488 Найдите значение выражения: б) \frac{5}{12} b при b = \frac{1}{5}, b = \frac{5}{12}, b = \frac{6}{5}, b = \frac{84}{25}, b = 0.

б) Найдем значение выражения: $$\frac{5}{12} b$$

• при $$b = \frac{1}{5}$$: $$\frac{5}{12} \cdot \frac{1}{5} = \frac{1}{12}$$
• при $$b = \frac{5}{12}$$: $$\frac{5}{12} \cdot \frac{5}{12} = \frac{25}{144}$$
• при $$b = \frac{6}{5}$$: $$\frac{5}{12} \cdot \frac{6}{5} = \frac{1}{2}$$
• при $$b = \frac{84}{25}$$: $$\frac{5}{12} \cdot \frac{84}{25} = \frac{1 \cdot 7}{1 \cdot 5} = \frac{7}{5} = 1\frac{2}{5}$$
• при $$b = 0$$: $$\frac{5}{12} \cdot 0 = 0$$

Ответ: при $$b = \frac{1}{5}$$: $$\frac{1}{12}$$; при $$b = \frac{5}{12}$$: $$\frac{25}{144}$$; при $$b = \frac{6}{5}$$: $$\frac{1}{2}$$; при $$b = \frac{84}{25}$$: $$1\frac{2}{5}$$; при $$b = 0$$: $$0$$