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

Найдем значение выражения $$\frac{5}{12}b$$ при $$b = \frac{1}{5}$$, $$b = \frac{5}{12}$$, $$b = \frac{6}{5}$$, $$b = \frac{84}{25}$$, $$b = 0$$.

1) Если $$b = \frac{1}{5}$$, то $$\frac{5}{12} \cdot b = \frac{5}{12} \cdot \frac{1}{5} = \frac{5 \cdot 1}{12 \cdot 5} = \frac{1}{12}$$.

2) Если $$b = \frac{5}{12}$$, то $$\frac{5}{12} \cdot b = \frac{5}{12} \cdot \frac{5}{12} = \frac{5 \cdot 5}{12 \cdot 12} = \frac{25}{144}$$.

3) Если $$b = \frac{6}{5}$$, то $$\frac{5}{12} \cdot b = \frac{5}{12} \cdot \frac{6}{5} = \frac{5 \cdot 6}{12 \cdot 5} = \frac{6}{12} = \frac{1}{2}$$.

4) Если $$b = \frac{84}{25}$$, то $$\frac{5}{12} \cdot b = \frac{5}{12} \cdot \frac{84}{25} = \frac{5 \cdot 84}{12 \cdot 25} = \frac{420}{300} = \frac{42}{30} = \frac{7}{5} = 1\frac{2}{5}$$.

5) Если $$b = 0$$, то $$\frac{5}{12} \cdot b = \frac{5}{12} \cdot 0 = 0$$.

Ответ: $$\frac{1}{12}$$; $$\frac{25}{144}$$; $$\frac{1}{2}$$; $$1\frac{2}{5}$$; 0