№3. Решите уравнения: А) x+2 7/16=5 3/16 Б) x-7 3/14=2 9/14

Решим уравнения:

А) $$ x + 2 \frac{7}{16} = 5 \frac{3}{16} $$

$$ x = 5 \frac{3}{16} - 2 \frac{7}{16} $$

$$ x = 5 \frac{3}{16} - 2 \frac{7}{16} = (5-2) + (\frac{3}{16} - \frac{7}{16}) = 3 - \frac{4}{16} = 3 - \frac{1}{4} = 2 + 1 - \frac{1}{4} = 2 + \frac{4}{4} - \frac{1}{4} = 2 + \frac{3}{4} = 2 \frac{3}{4} $$

Б) $$ x - 7 \frac{3}{14} = 2 \frac{9}{14} $$

$$ x = 2 \frac{9}{14} + 7 \frac{3}{14} $$

$$ x = (2+7) + (\frac{9}{14} + \frac{3}{14}) = 9 + \frac{12}{14} = 9 + \frac{6}{7} = 9 \frac{6}{7} $$

Ответ: А) $$2 \frac{3}{4}$$, Б) $$9 \frac{6}{7}$$