Вопрос:

Задание 1. Найдите значение выражения. 1) \((\frac{17}{10} - \frac{1}{20}) \cdot \frac{2}{15}\) 2) \((\frac{5}{22} - \frac{8}{11}) \cdot \frac{11}{5}\) 3) \((\frac{5}{26} - \frac{3}{25}) \cdot \frac{13}{2}\) 4) \((\frac{10}{13} + \frac{15}{4}) \cdot \frac{26}{5}\) 5) \((\frac{17}{26} + \frac{11}{13}) \cdot \frac{17}{6}\) 6) \((\frac{11}{12} + \frac{11}{20}) \cdot \frac{15}{8}\) 7) \((\frac{3}{4} - \frac{1}{6}) \cdot 3\) 8) \((\frac{2}{5} + \frac{13}{15}) \cdot 6\) 9) \((\frac{3}{8} - \frac{1}{20}) \cdot 10\) 10) \((\frac{2}{20} + \frac{7}{30}) \cdot 15\) 11) \((\frac{9}{10} - \frac{7}{15}) \cdot 3\) 12) \((\frac{1}{6} + \frac{1}{4}) \cdot 9\)

Ответ:

**Решение задания 1 (Блок 2):** 1) \((\frac{17}{10} - \frac{1}{20}) \cdot \frac{2}{15} = (\frac{34}{20} - \frac{1}{20}) \cdot \frac{2}{15} = \frac{33}{20} \cdot \frac{2}{15} = \frac{33 \cdot 2}{20 \cdot 15} = \frac{11 \cdot 1}{10 \cdot 5} = \frac{11}{50} = 0.22\) 2) \((\frac{5}{22} - \frac{8}{11}) \cdot \frac{11}{5} = (\frac{5}{22} - \frac{16}{22}) \cdot \frac{11}{5} = \frac{-11}{22} \cdot \frac{11}{5} = \frac{-1}{2} \cdot \frac{11}{5} = \frac{-11}{10} = -1.1\) 3) \((\frac{5}{26} - \frac{3}{25}) \cdot \frac{13}{2} = (\frac{125}{650} - \frac{78}{650}) \cdot \frac{13}{2} = \frac{47}{650} \cdot \frac{13}{2} = \frac{47 \cdot 13}{650 \cdot 2} = \frac{47 \cdot 1}{50 \cdot 2} = \frac{47}{100} = 0.47\) 4) \((\frac{10}{13} + \frac{15}{4}) \cdot \frac{26}{5} = (\frac{40}{52} + \frac{195}{52}) \cdot \frac{26}{5} = \frac{235}{52} \cdot \frac{26}{5} = \frac{235 \cdot 26}{52 \cdot 5} = \frac{47 \cdot 1}{1 \cdot 1} = 47\) 5) \((\frac{17}{26} + \frac{11}{13}) \cdot \frac{17}{6} = (\frac{17}{26} + \frac{22}{26}) \cdot \frac{17}{6} = \frac{39}{26} \cdot \frac{17}{6} = \frac{3}{2} \cdot \frac{17}{6} = \frac{1 \cdot 17}{2 \cdot 2} = \frac{17}{4} = 4.25\) 6) \((\frac{11}{12} + \frac{11}{20}) \cdot \frac{15}{8} = (\frac{55}{60} + \frac{33}{60}) \cdot \frac{15}{8} = \frac{88}{60} \cdot \frac{15}{8} = \frac{22 \cdot 1}{4 \cdot 2} = \frac{11 \cdot 1}{2 \cdot 1} = \frac{11}{2} = 5.5\) 7) \((\frac{3}{4} - \frac{1}{6}) \cdot 3 = (\frac{9}{12} - \frac{2}{12}) \cdot 3 = \frac{7}{12} \cdot 3 = \frac{7 \cdot 3}{12} = \frac{7 \cdot 1}{4} = \frac{7}{4} = 1.75\) 8) \((\frac{2}{5} + \frac{13}{15}) \cdot 6 = (\frac{6}{15} + \frac{13}{15}) \cdot 6 = \frac{19}{15} \cdot 6 = \frac{19 \cdot 6}{15} = \frac{19 \cdot 2}{5} = \frac{38}{5} = 7.6\) 9) \((\frac{3}{8} - \frac{1}{20}) \cdot 10 = (\frac{15}{40} - \frac{2}{40}) \cdot 10 = \frac{13}{40} \cdot 10 = \frac{13 \cdot 10}{40} = \frac{13 \cdot 1}{4} = \frac{13}{4} = 3.25\) 10) \((\frac{2}{20} + \frac{7}{30}) \cdot 15 = (\frac{6}{60} + \frac{14}{60}) \cdot 15 = \frac{20}{60} \cdot 15 = \frac{1}{3} \cdot 15 = \frac{15}{3} = 5\) 11) \((\frac{9}{10} - \frac{7}{15}) \cdot 3 = (\frac{27}{30} - \frac{14}{30}) \cdot 3 = \frac{13}{30} \cdot 3 = \frac{13 \cdot 3}{30} = \frac{13 \cdot 1}{10} = \frac{13}{10} = 1.3\) 12) \((\frac{1}{6} + \frac{1}{4}) \cdot 9 = (\frac{2}{12} + \frac{3}{12}) \cdot 9 = \frac{5}{12} \cdot 9 = \frac{5 \cdot 9}{12} = \frac{5 \cdot 3}{4} = \frac{15}{4} = 3.75\)
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