Question

Por fa simplificar los resultados cuando más se pueda son números enteros

es para mañana

Answer 1

Explicación paso a paso:

$a) \\ \frac{4}{7} ( - 2) - 1 - \frac{1}{4} (2 - \frac{1}{3} ) = \\ \\ - \frac{8}{7} - 1 - \frac{1}{4} ( \frac{6 - 1}{3} ) = \\ \\ - \frac{8}{7} - 1 - \frac{1}{4} ( \frac{5}{3} ) = \\ \\ - \frac{8}{7} - 1 - \frac{5}{12} = \\ \\ \frac{ - 96 - 84 - 35}{84} = - \frac{215}{84}$

$c) \\ 3 \div (3 - \frac{5}{3} \times ( \frac{7}{2} + 1) - \frac{1}{2} \div 3) \\ \\ 3 \div (3 - \frac{5}{3} \times ( \frac{7 + 2}{2} ) - \frac{1}{6} ) \\ \\ 3 \div (3 - \frac{5}{3} \times \frac{9}{2} - \frac{1}{6} ) \\ \\ 3 \div (3 - \frac{45}{6} - \frac{1}{6} ) \\ \\ 3 \div ( \frac{18 - 45 - 1}{6} ) \\ \\ 3 \div ( - \frac{28}{6} ) = - \frac{18}{28} = - \frac{9}{14}$

$e) \\ ( \frac{3}{5} - \frac{2}{3} \div \frac{5}{4} + \frac{1}{10} ) \div (1 - \frac{4}{3} \times ( - 2) )\\ \\ ( \frac{3}{5} - \frac{8}{15} + \frac{1}{10} ) \div (1 + \frac{8}{3} ) \\ \\ ( \frac{18 - 16 + 3}{30} ) \div ( \frac{3 + 8}{3} ) \\ \\ \frac{5}{30} \div \frac{11}{3} = \\ \\ \frac{1}{6} \div \frac{11}{3} = \frac{3}{66} = \frac{1}{22}$

$g) \\ \frac{3}{4} \times ( \frac{2}{5} - \frac{3}{15} ) + 2 \div \frac{4}{3} - \frac{1}{2} \\ \\ \frac{3}{4} \times ( \frac{2}{5} - \frac{1}{5} ) + \frac{6}{4} - \frac{1}{2} \\ \\ \frac{3}{4} \times (\frac{1}{5} ) + \frac{3}{2} - \frac{1}{2} \\ \\ \frac{3}{20} + \frac{2}{2} = \frac{3 + 20}{20} = \frac{23}{20}$

$i) \\ ( \frac{3}{2} - \frac{7}{2} - \frac{5}{6} + \frac{1}{4} ) \div ( - 4 + \frac{2}{3} - \frac{1}{6} ) \\ \\ ( \frac{18 - 42 - 10 + 3}{12} ) \div ( \frac{ - 24 + 4 - 1}{6} ) \\ \\ - \frac{ 31}{12} \div ( - \frac{21}{6} ) = \frac{31}{42}$