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МатематикаВопрос:
1). \((\frac{5}{14}+\frac{17}{42})\cdot1\frac{6}{8}=\) 2). \((5\frac{8}{9}:1\frac{17}{36}+1\frac{1}{4})\cdot\frac{5}{21}=\) 3). \((2\frac{1}{4}+4\frac{5}{6}):\)
Ответ:
1) \((\frac{5}{14}+\frac{17}{42})\cdot1\frac{6}{8}=(\frac{5\cdot3}{14\cdot3}+\frac{17}{42})\cdot1\frac{3}{4}=(\frac{15}{42}+\frac{17}{42})\cdot\frac{7}{4}=\frac{32}{42}\cdot\frac{7}{4}=\frac{16}{21}\cdot\frac{7}{4}=\frac{4}{3}=1\frac{1}{3}\)
2) \((5\frac{8}{9}:1\frac{17}{36}+1\frac{1}{4})\cdot\frac{5}{21}=(\frac{53}{9}:\frac{53}{36}+1\frac{1}{4})\cdot\frac{5}{21}=(\frac{53}{9}\cdot\frac{36}{53}+1\frac{1}{4})\cdot\frac{5}{21}=(4+1\frac{1}{4})\cdot\frac{5}{21}=5\frac{1}{4}\cdot\frac{5}{21}=\frac{21}{4}\cdot\frac{5}{21}=\frac{5}{4}=1\frac{1}{4}\)
Ответ: 1) \(1\frac{1}{3}\), 2) \(1\frac{1}{4}\)
Похожие
- 9). \(\frac{2}{3}:\frac{6}{7}:\frac{4}{7}\) 10). \(\frac{11}{12}:\frac{7}{24}\cdot\frac{21}{22}\)
- 1). 2\(\frac{2}{15}\cdot1\frac{1}{16}=\) 2). 8\(\frac{3}{4}\cdot1\frac{3}{14}=\) 3). 1\(\frac{7}{8}\cdot1\frac{1}{15}=\) 4). 5\(\frac{3}{15}\cdot2\frac{5}{14}\) 5). 2\(\frac{1}{42}\cdot1\frac{7}{17}\cdot\frac{7}{12}=\) 6). 3\(\frac{1}{3}:2\frac{6}{7}=\) 7). 7\(\frac{5}{7}:3\frac{3}{5}=\) 8). 8\(\frac{4}{9}:3\frac{1}{3}\) 9). 2\(\frac{2}{3}:2\frac{2}{7}=\) 10). 3\(\frac{1}{3}:3\frac{3}{4}=\)
- (\(\frac{3}{4}+3\frac{5}{6}\)):(\(\frac{3}{4}-3\frac{2}{3}\)) (\(\frac{4}{5}-2\frac{3}{4}\)):(\(\frac{16}{21}+3\frac{2}{3}\)) (\(\frac{3}{8}+3\frac{7}{24}\)):(\(\frac{2}{3}-1\frac{1}{8}\)) 7). (1\(\frac{3}{4}+2\frac{1}{3}\)):(7\(\frac{1}{2}-1\frac{2}{3}\))
