2. Вычислите А) 4 2/7 + 4 7/7 ...

Привет! Давай решим примеры из твоего учебного задания. Разберем их по пунктам. ### Задание 2 А) $4\frac{2}{7} + 4\frac{7}{7} = 4\frac{2}{7} + 5 = 9\frac{2}{7}$ Б) $\frac{8}{11} + \frac{7}{11} = \frac{15}{11} = 1\frac{4}{11}$ В) $4\frac{7}{13} - 8\frac{9}{13}$. Здесь число отрицательное: $-(8\frac{9}{13} - 4\frac{7}{13}) = -4\frac{2}{13}$ Г) $9\frac{10}{13} - 7\frac{12}{13} = 8\frac{23}{13} - 7\frac{12}{13} = 1\frac{11}{13}$ Д) $\frac{1}{2} + \frac{1}{3} = \frac{3}{6} + \frac{2}{6} = \frac{5}{6}$ Е) $\frac{1}{4} + \frac{1}{3} = \frac{3}{12} + \frac{4}{12} = \frac{7}{12}$ Ё) $\frac{1}{20} + \frac{1}{4} + \frac{1}{5} = \frac{1}{20} + \frac{5}{20} + \frac{4}{20} = \frac{10}{20} = \frac{1}{2}$ Ж) $\frac{1}{18} + \frac{1}{24} = \frac{4}{72} + \frac{3}{72} = \frac{7}{72}$ З) $\frac{9}{13} + \frac{5}{26} + \frac{1}{78} = \frac{54}{78} + \frac{15}{78} + \frac{1}{78} = \frac{70}{78} = \frac{35}{39}$ И) $1\frac{7}{9} + 3\frac{1}{4} = 1\frac{28}{36} + 3\frac{9}{36} = 4\frac{37}{36} = 5\frac{1}{36}$ Й) $4\frac{15}{49} - 2\frac{3}{14} = 4\frac{30}{98} - 2\frac{21}{98} = 2\frac{9}{98}$ К) $28\frac{3}{4} - 10\frac{2}{7} = 28\frac{21}{28} - 10\frac{8}{28} = 18\frac{13}{28}$ Л) $3\frac{3}{16} \cdot 7 = \frac{51}{16} \cdot 7 = \frac{357}{16} = 22\frac{5}{16}$ М) $1\frac{1}{5} \cdot 3 = \frac{6}{5} \cdot 3 = \frac{18}{5} = 3\frac{3}{5}$ Н) $1\frac{5}{26}$ О) $\frac{8}{25} \cdot \frac{25}{28} = \frac{8}{28} = \frac{2}{7}$ П) $\frac{1}{2} \cdot \frac{1}{2} = \frac{1}{4}$ Р) $4\frac{1}{6} \cdot 8\frac{2}{5} = \frac{25}{6} \cdot \frac{42}{5} = 5 \cdot 7 = 35$ С) $10\frac{2}{7} : 2\frac{1}{9} = \frac{72}{7} : \frac{19}{9} = \frac{72}{7} \cdot \frac{9}{19} = \frac{648}{133} = 4\frac{116}{133}$ Т) $3\frac{5}{9} \cdot 4\frac{7}{8} = \frac{32}{9} \cdot \frac{39}{8} = \frac{4}{3} \cdot \frac{13}{1} = \frac{52}{3} = 17\frac{1}{3}$ ### Задание 3 А) $\frac{13}{17} - \frac{4}{17} = \frac{9}{17}$ Б) $\frac{7}{10} + \frac{9}{10} = \frac{16}{10} = 1\frac{3}{5}$ В) $3\frac{7}{8} + 8\frac{3}{8} = 11\frac{10}{8} = 12\frac{1}{4}$ Г) $17\frac{1}{4} - 16\frac{3}{4} = 16\frac{5}{4} - 16\frac{3}{4} = \frac{2}{4} = \frac{1}{2}$ Д) $\frac{2}{3} + \frac{2}{3} = \frac{4}{3} = 1\frac{1}{3}$ Е) $\frac{2}{3} + \frac{5}{9} = \frac{6}{9} + \frac{5}{9} = \frac{11}{9} = 1\frac{2}{9}$ Ё) $\frac{1}{4} + \frac{2}{25} : \frac{3}{100} = \frac{1}{4} + (\frac{2}{25} \cdot \frac{100}{3}) = \frac{1}{4} + \frac{8}{3} = \frac{3}{12} + \frac{32}{12} = \frac{35}{12} = 2\frac{11}{12}$ Ж) $\frac{1}{45} + \frac{11}{60} = \frac{4}{180} + \frac{33}{180} = \frac{37}{180}$ З) $\frac{5}{96} + \frac{3}{16} + \frac{7}{24} = \frac{5}{96} + \frac{18}{96} + \frac{28}{96} = \frac{51}{96} = \frac{17}{32}$ И) $6\frac{2}{3} + 8\frac{5}{7} = 6\frac{14}{21} + 8\frac{15}{21} = 14\frac{29}{21} = 15\frac{8}{21}$ Й) $7\frac{4}{25} - 2\frac{3}{4} = 7\frac{16}{100} - 2\frac{75}{100} = 6\frac{116}{100} - 2\frac{75}{100} = 4\frac{41}{100}$ К) $75\frac{8}{15} - 12\frac{7}{30} = 75\frac{16}{30} - 12\frac{7}{30} = 63\frac{9}{30} = 63\frac{3}{10}$ Л) $18 : \frac{7}{12} = 18 \cdot \frac{12}{7} = \frac{216}{7} = 30\frac{6}{7}$ М) $4\frac{2}{3} : 3 = \frac{14}{3} : 3 = \frac{14}{9} = 1\frac{5}{9}$ Н) $5 : 4 = 1\frac{1}{4}$ О) $\frac{8}{21} : \frac{10}{21} = \frac{8}{10} = \frac{4}{5}$ П) $\frac{1}{3} : \frac{4}{5} = \frac{1}{3} \cdot \frac{5}{4} = \frac{5}{12}$ Р) $1\frac{1}{3} : \frac{1}{2} = \frac{4}{3} \cdot 2 = \frac{8}{3} = 2\frac{2}{3}$ С) $3\frac{5}{8} : 5 = \frac{29}{8} : 5 = \frac{29}{40}$ Т) $5\frac{1}{2} \cdot 8\frac{1}{11} = \frac{11}{2} \cdot \frac{89}{11} = \frac{89}{2} = 44\frac{1}{2}$ У) $(4\frac{3}{4})^2 = (\frac{19}{4})^2 = \frac{361}{16} = 22\frac{9}{16}$ Ф) $\frac{20}{27} : 5 = \frac{4}{27}$ Х) $57 : 99 = \frac{57}{99} = \frac{19}{33}$ Ц) $20 : \frac{1}{25} = 20 \cdot 25 = 500$ Ч) $\frac{3}{16} : \frac{5}{12} = \frac{3}{16} \cdot \frac{12}{5} = \frac{3}{4} \cdot \frac{3}{5} = \frac{9}{20}$