б) 3 1/15 −1 14/15 x=1/6.

б) Решим уравнение:

$$3 \frac{1}{15} - 1 \frac{14}{15}x = \frac{1}{6}$$

$$\frac{46}{15} - \frac{29}{15}x = \frac{1}{6}$$

$$-\frac{29}{15}x = \frac{1}{6} - \frac{46}{15}$$

$$-\frac{29}{15}x = \frac{1 \cdot 5}{6 \cdot 5} - \frac{46 \cdot 2}{15 \cdot 2}$$

$$-\frac{29}{15}x = \frac{5}{30} - \frac{92}{30}$$

$$-\frac{29}{15}x = \frac{5 - 92}{30}$$

$$-\frac{29}{15}x = \frac{-87}{30}$$

$$x = \frac{-87}{30} : (-\frac{29}{15})$$

$$x = \frac{-87}{30} \cdot \frac{15}{-29}$$

$$x = \frac{3 \cdot 1}{2 \cdot 1} = \frac{3}{2} = 1 \frac{1}{2}$$

Ответ: $$x = 1 \frac{1}{2}$$