Задание 121. Приведите дроби к данному знаменателю и найдите сумму этих дробей.

Задание 121. Приведите дроби к данному знаменателю и найдите сумму этих дробей. 2) $\frac{5}{6} = \frac{5 \cdot 3}{6 \cdot 3} = \frac{15}{18}$; $\frac{2}{9} = \frac{2 \cdot 2}{9 \cdot 2} = \frac{4}{18}$ Сумма: $\frac{15}{18} + \frac{4}{18} = \frac{15 + 4}{18} = \frac{19}{18} = 1\frac{1}{18}$ 3) $\frac{5}{8} = \frac{5 \cdot 3}{8 \cdot 3} = \frac{15}{24}$; $\frac{1}{6} = \frac{1 \cdot 4}{6 \cdot 4} = \frac{4}{24}$ Сумма: $\frac{15}{24} + \frac{4}{24} = \frac{15 + 4}{24} = \frac{19}{24}$ 4) $\frac{3}{16} = \frac{3 \cdot 3}{16 \cdot 3} = \frac{9}{48}$; $\frac{11}{12} = \frac{11 \cdot 4}{12 \cdot 4} = \frac{44}{48}$ Сумма: $\frac{9}{48} + \frac{44}{48} = \frac{9 + 44}{48} = \frac{53}{48} = 1\frac{5}{48}$ 5) $\frac{7}{16} = \frac{7 \cdot 2}{16 \cdot 2} = \frac{14}{32}$; $\frac{3}{8} = \frac{3 \cdot 4}{8 \cdot 4} = \frac{12}{32}$ Сумма: $\frac{14}{32} + \frac{12}{32} = \frac{26}{32} = \frac{13}{16}$ 6) $\frac{3}{7} = \frac{3 \cdot 4}{7 \cdot 4} = \frac{12}{28}$; $\frac{13}{14} = \frac{13 \cdot 2}{14 \cdot 2} = \frac{26}{28}$ Сумма: $\frac{12}{28} + \frac{26}{28} = \frac{38}{28} = \frac{19}{14} = 1\frac{5}{14}$ 7) $\frac{5}{6} = \frac{5 \cdot 7}{6 \cdot 7} = \frac{35}{42}$; $\frac{10}{21} = \frac{10 \cdot 2}{21 \cdot 2} = \frac{20}{42}$ Сумма: $\frac{35}{42} + \frac{20}{42} = \frac{55}{42} = 1\frac{13}{42}$ 8) $\frac{2}{15} = \frac{2 \cdot 2}{15 \cdot 2} = \frac{4}{30}$; $\frac{9}{10} = \frac{9 \cdot 3}{10 \cdot 3} = \frac{27}{30}$ Сумма: $\frac{4}{30} + \frac{27}{30} = \frac{31}{30} = 1\frac{1}{30}$ 9) $\frac{8}{17} = \frac{8 \cdot 3}{17 \cdot 3} = \frac{24}{51}$; $\frac{2}{3} = \frac{2 \cdot 17}{3 \cdot 17} = \frac{34}{51}$ Сумма: $\frac{24}{51} + \frac{34}{51} = \frac{58}{51} = 1\frac{7}{51}$ 10) $\frac{11}{18} = \frac{11 \cdot 2}{18 \cdot 2} = \frac{22}{36}$; $\frac{5}{12} = \frac{5 \cdot 3}{12 \cdot 3} = \frac{15}{36}$ Сумма: $\frac{22}{36} + \frac{15}{36} = \frac{37}{36} = 1\frac{1}{36}$