№2. Вычислите: А) 4 13/17+5 4/17 Б) 3 8/11+2 6/11 В) 1-16/21 Г) 5-2 3/8 Д) 12 19/44-6 37/44

Решим примеры:

А) $$4 \frac{13}{17} + 5 \frac{4}{17} = (4+5) + (\frac{13}{17} + \frac{4}{17}) = 9 + \frac{17}{17} = 9 + 1 = 10 $$

Б) $$3 \frac{8}{11} + 2 \frac{6}{11} = (3+2) + (\frac{8}{11} + \frac{6}{11}) = 5 + \frac{14}{11} = 5 + 1 \frac{3}{11} = 6 \frac{3}{11} $$

В) $$ 1 - \frac{16}{21} = \frac{21}{21} - \frac{16}{21} = \frac{21-16}{21} = \frac{5}{21} $$

Г) $$ 5 - 2 \frac{3}{8} = 5 - \frac{2 \cdot 8 + 3}{8} = 5 - \frac{19}{8} = \frac{5 \cdot 8}{8} - \frac{19}{8} = \frac{40-19}{8} = \frac{21}{8} = 2 \frac{5}{8} $$

Д) $$12 \frac{19}{44} - 6 \frac{37}{44} = (12-6) + (\frac{19}{44} - \frac{37}{44}) = 6 - \frac{18}{44} = 6 - \frac{9}{22} = 5 + 1 - \frac{9}{22} = 5 + \frac{22}{22} - \frac{9}{22} = 5 + \frac{13}{22} = 5 \frac{13}{22} $$

Ответ: А) 10, Б) $$6 \frac{3}{11}$$, В) $$\frac{5}{21}$$, Г) $$2 \frac{5}{8}$$, Д) $$5 \frac{13}{22}$$