Математика: даю 30 жетонов не понимаю тему

даю 30 жетонов не понимаю тему

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Ответ:

ФёдорХоменко

15.10.2020 20:38

$\frac{ \frac{2}{3} }{4} = \frac{2}{3} \div 4 = \frac{2 \times 1}{3 \times 4} = \frac{1}{6}$

$\frac{ \frac{4}{5} }{2} = \frac{4}{5} \div 2 = \frac{4 \times 1}{ 5\times 2} = \frac{2}{5}$

$\frac{ \frac{2}{3} }{ \frac{1}{3} } = \frac{2}{3} \div \frac{1}{3} = \frac{2 \times 3}{3 \times 1} = 2$

$\frac{ \frac{1}{2} }{ \frac{4}{5} } = \frac{1}{2} \div \frac{4}{5} = \frac{1 \times 5}{2 \times 4} = \frac{5}{8}$

$\frac{ \frac{1}{5} + \frac{1}{3} }{4} = ( \frac{3 + 5}{15} ) \div 4 = \frac{8}{15} \div 4 = \frac{8 \times 1}{15 \times 4} = \frac{2}{15}$

$\frac{ \frac{2}{3} - \frac{1}{6} }{5} = ( \frac{4 - 1}{6} ) \div 5 = \frac{3}{6} \div 5 = \frac{3}{6 \times 5} = \frac{3}{30} = \frac{1}{10}$

$\frac{14}{ \frac{1}{2} + \frac{3}{8} } = 14 \div ( \frac{4 + 3}{8} ) = 14 \div \frac{7}{8} = \frac{14 \times 8}{7} = 2 \times 8 = 16$

$\frac{3}{ \frac{2}{5} - \frac{1}{3} } = 3 \div ( \frac{6 - 5}{15} ) = 3 \div \frac{1}{15} = \frac{3 \times 15}{1} = 3 \times 15 = 45$

$\frac{1}{1 + \frac{1}{2} } = 1 \div (1 + \frac{1}{2} ) = 1 \div \frac{3}{2} = \frac{1 \times 2}{3} = \frac{2}{3}$

$\frac{1}{1 - \frac{2}{3} } = 1 \div (1 - \frac{2}{3} ) = 1 \div \frac{1}{3} = \frac{1 \times 3}{1} = 3$

$\frac{ \frac{3}{4} + 2 }{1 - \frac{3}{4} } = \frac{11}{4} \div \frac{1}{4} = \frac{11 \times 4}{4 \times 1} = 11$

$\frac{ \frac{7}{3} - 2 }{1 + \frac{7}{3} } = \frac{1}{3} \div \frac{10}{3} = \frac{1 \times 3}{3 \times 10} = \frac{1}{10}$

$5 \div 4 = \frac{5}{4} = 1 \frac{1}{4}$

$9 \div 7 = \frac{9}{7} = 1 \frac{2}{7}$

$1 - \frac{1}{1 + \frac{1}{2} } = 1 - 1 \div (1 + \frac{1}{2} ) = 1 - 1 \div \frac{3}{2} = 1 - \frac{1 \times 2}{3} = 1 - \frac{2}{3} = \frac{3}{3} - \frac{2}{3} = \frac{1}{3}$

$\frac{4 + \frac{1}{ \frac{1}{2} - \frac{1}{3} } }{4 - \frac{1}{ \frac{1}{2} - \frac{1}{3} } } = \frac{4 + \frac{1}{ \frac{1}{6} } }{4 - \frac{1}{ \frac{1}{6} } } = \frac{4 + 6}{4 - 6} = \frac{10}{ - 2} = - 5$