Решение заданий.
Блок Б.
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\[\frac{11}{20} : \frac{11}{20} = 1\]
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\[\frac{4}{35} : \frac{4}{35} = 1\]
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\[\frac{3}{4} : \frac{1}{4} = \frac{3}{4} \cdot \frac{4}{1} = \frac{3 \cdot 4}{4 \cdot 1} = \frac{12}{4} = 3\]
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\[\frac{7}{9} : \frac{1}{9} = \frac{7}{9} \cdot \frac{9}{1} = \frac{7 \cdot 9}{9 \cdot 1} = \frac{63}{9} = 7\]
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\[\frac{15}{16} : \frac{5}{16} = \frac{15}{16} \cdot \frac{16}{5} = \frac{15 \cdot 16}{16 \cdot 5} = \frac{240}{80} = 3\]
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\[\frac{3}{5} : 2 = \frac{3}{5} : \frac{2}{1} = \frac{3}{5} \cdot \frac{1}{2} = \frac{3 \cdot 1}{5 \cdot 2} = \frac{3}{10}\]
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\[\frac{6}{11} : 2 = \frac{6}{11} : \frac{2}{1} = \frac{6}{11} \cdot \frac{1}{2} = \frac{6 \cdot 1}{11 \cdot 2} = \frac{6}{22} = \frac{3}{11}\]
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\[\frac{10}{13} : 5 = \frac{10}{13} : \frac{5}{1} = \frac{10}{13} \cdot \frac{1}{5} = \frac{10 \cdot 1}{13 \cdot 5} = \frac{10}{65} = \frac{2}{13}\]
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\[\frac{12}{13} : 18 = \frac{12}{13} : \frac{18}{1} = \frac{12}{13} \cdot \frac{1}{18} = \frac{12 \cdot 1}{13 \cdot 18} = \frac{12}{234} = \frac{2}{39}\]
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\[\frac{8}{27} : 4 = \frac{8}{27} : \frac{4}{1} = \frac{8}{27} \cdot \frac{1}{4} = \frac{8 \cdot 1}{27 \cdot 4} = \frac{8}{108} = \frac{2}{27}\]
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\[\frac{3}{4} : \frac{3}{7} = \frac{3}{4} \cdot \frac{7}{3} = \frac{3 \cdot 7}{4 \cdot 3} = \frac{21}{12} = \frac{7}{4} = 1 \frac{3}{4}\]
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\[\frac{5}{7} : \frac{7}{2} = \frac{5}{7} \cdot \frac{2}{7} = \frac{5 \cdot 2}{7 \cdot 7} = \frac{10}{49}\]
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\[\frac{6}{5} : \frac{7}{5} = \frac{6}{5} \cdot \frac{5}{7} = \frac{6 \cdot 5}{5 \cdot 7} = \frac{30}{35} = \frac{6}{7}\]
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\[1 : \frac{1}{7} = \frac{1}{1} : \frac{1}{7} = \frac{1}{1} \cdot \frac{7}{1} = \frac{1 \cdot 7}{1 \cdot 1} = \frac{7}{1} = 7\]
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\[1 : \frac{2}{7} = \frac{1}{1} : \frac{2}{7} = \frac{1}{1} \cdot \frac{7}{2} = \frac{1 \cdot 7}{1 \cdot 2} = \frac{7}{2} = 3 \frac{1}{2}\]
Задание 129. Выполните действия.
A.
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\[\frac{2}{9} \cdot \frac{6}{5} : \frac{8}{15} = \frac{2}{9} \cdot \frac{6}{5} \cdot \frac{15}{8} = \frac{2 \cdot 6 \cdot 15}{9 \cdot 5 \cdot 8} = \frac{180}{360} = \frac{1}{2}\]
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\[\frac{3}{7} \cdot \frac{3}{10} : \frac{9}{14} = \frac{3}{7} \cdot \frac{3}{10} \cdot \frac{14}{9} = \frac{3 \cdot 3 \cdot 14}{7 \cdot 10 \cdot 9} = \frac{126}{630} = \frac{1}{5}\]
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\[\frac{11}{28} : \frac{2}{5} \cdot \frac{16}{5} = \frac{11}{28} \cdot \frac{5}{2} \cdot \frac{16}{5} = \frac{11 \cdot 5 \cdot 16}{28 \cdot 2 \cdot 5} = \frac{880}{280} = \frac{22}{7} = 3 \frac{1}{7}\]
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\[\frac{11}{36} : \frac{2}{9} \cdot \frac{8}{77} = \frac{11}{36} \cdot \frac{9}{2} \cdot \frac{77}{8} = \frac{11 \cdot 9 \cdot 77}{36 \cdot 2 \cdot 8} = \frac{7623}{576} = \frac{2541}{192} = 13 \frac{57}{192} = 13 \frac{19}{64}\]
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\[\frac{18}{35} : \frac{5}{21} \cdot \frac{36}{49} = \frac{18}{35} \cdot \frac{21}{5} \cdot \frac{49}{36} = \frac{18 \cdot 21 \cdot 49}{35 \cdot 5 \cdot 36} = \frac{18522}{6300} = \frac{3087}{1050} = \frac{1029}{350} = 2 \frac{329}{350}\]
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\[\frac{16}{33} : \frac{27}{64} \cdot \frac{4}{3} \cdot \frac{5}{44} = \frac{16}{33} \cdot \frac{64}{27} \cdot \frac{3}{4} \cdot \frac{5}{44} = \frac{16 \cdot 64 \cdot 3 \cdot 5}{33 \cdot 27 \cdot 4 \cdot 44} = \frac{15360}{155232} = \frac{320}{3234} = \frac{160}{1617} = \frac{160}{3 \cdot 7 \cdot 7 \cdot 11}\]
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\[\frac{4}{33} : \frac{121}{14} : \frac{55}{42} \cdot 3 = \frac{4}{33} \cdot \frac{14}{121} \cdot \frac{42}{55} \cdot 3 = \frac{4 \cdot 14 \cdot 42 \cdot 3}{33 \cdot 121 \cdot 55} = \frac{7056}{217815}\]
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\[5 \cdot \frac{4}{25} : \frac{7}{18} : \frac{28}{36} = \frac{5}{1} \cdot \frac{4}{25} \cdot \frac{18}{7} \cdot \frac{36}{28} = \frac{5 \cdot 4 \cdot 18 \cdot 36}{1 \cdot 25 \cdot 7 \cdot 28} = \frac{12960}{4900} = \frac{1296}{490} = \frac{648}{245} = 2 \frac{158}{245}\]
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\[\frac{81}{49} : 6 \cdot \frac{42}{51} : \frac{3}{17} = \frac{81}{49} \cdot \frac{1}{6} \cdot \frac{42}{51} \cdot \frac{17}{3} = \frac{81 \cdot 1 \cdot 42 \cdot 17}{49 \cdot 6 \cdot 51 \cdot 3} = \frac{58374}{44982} = \frac{9729}{7497} = \frac{3243}{2499} = \frac{1081}{833}\]
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\[39 : \frac{26}{27} : \frac{75}{22} \cdot \frac{5}{54} = \frac{39}{1} \cdot \frac{27}{26} \cdot \frac{22}{75} \cdot \frac{5}{54} = \frac{39 \cdot 27 \cdot 22 \cdot 5}{1 \cdot 26 \cdot 75 \cdot 54} = \frac{116730}{105300} = \frac{11673}{10530} = \frac{3891}{3510} = \frac{1297}{1170}\]
Ответ: смотри решение выше.