3 15 4. Упростите выражение р-11P+222 P

4. Упростите выражение:

$$p - \frac{3}{11}p + 2\frac{15}{22}p$$

$$p - \frac{3}{11}p + 2\frac{15}{22}p = p - \frac{3}{11}p + \frac{2 \cdot 22 + 15}{22}p = p - \frac{3}{11}p + \frac{44 + 15}{22}p = p - \frac{3}{11}p + \frac{59}{22}p = p(\frac{1}{1} - \frac{3}{11} + \frac{59}{22}) = p(\frac{1 \cdot 22}{22} - \frac{3 \cdot 2}{22} + \frac{59}{22}) = p(\frac{22}{22} - \frac{6}{22} + \frac{59}{22}) = p(\frac{22-6+59}{22}) = p(\frac{75}{22}) = 3\frac{9}{22}p$$

Ответ: $$3\frac{9}{22}p$$