Тип 2.1 № 12600. Вычислите: $$\frac{13}{14} + \frac{5}{9} + \frac{14}{27}$$.

$$ \frac{13}{14} = \frac{13 \cdot 27}{14 \cdot 27} = \frac{351}{378} $$ $$ \frac{5}{9} = \frac{5 \cdot 42}{9 \cdot 42} = \frac{210}{378} $$ $$ \frac{14}{27} = \frac{14 \cdot 14}{27 \cdot 14} = \frac{196}{378} $$ $$ \frac{351}{378} + \frac{210}{378} + \frac{196}{378} = \frac{351 + 210 + 196}{378} = \frac{757}{378} $$ $$ \frac{757}{378} = 1 \frac{379}{378} = 1 + \frac{378}{378} + \frac{1}{378} = 2\frac{1}{378} $$ Ответ: $$\frac{757}{378}$$ или $$2\frac{1}{378}$$