Question

Ayuden por favor con resoluciones

Answer 1

Respuesta:

$f = \frac{ (\frac{3}{8} \times \frac{4}{5} \div \frac{3}{10} + \frac{2}{9} - \frac{1}{6}) }{( \frac{6}{15} + \frac{1}{6} - \frac{1}{5} )( \frac{2}{3} + \frac{4}{9} - \frac{7}{12} ) } \times 2 \frac{3}{4} \div \frac{1}{3} \\ \\ \\ f = \frac{ (\frac{3}{\not8_2} \times \frac{ {\not4 {}^{1}} }{5} \times \frac{10}{3} + \frac{2}{9} - \frac{1}{6}) }{( \frac{12 + 5 - 6}{30} )( \frac{24 + 16 - 21}{36}) } \times \frac{11}{4} \times \frac{3}{1} \\ \\ \\ f = \frac{ (\frac{3}{ \not2} \times \frac{ 1 }{ \not5} \times \frac{ \cancel{10} \: {}^{ \not2} }{3} + \frac{2}{9} - \frac{1}{6}) }{( \frac{11}{30} )( \frac{19}{36}) } \times \frac{33}{4} \\ \\ \\ f = \frac{ ( \not3\times 1 \times \frac{ 1 }{ \not3} + \frac{2}{9} - \frac{1}{6}) }{( \frac{11}{30} )( \frac{19}{36}) } \times \frac{33}{4} \\ \\ \\ f = \frac{ ( 1 + \frac{2}{9} - \frac{1}{6}) }{( \frac{11}{30} )( \frac{19}{36}) } \times \frac{33}{4} \\ \\ \\ f = \frac{ ( \frac{18 + 4 - 3}{18} ) }{ \frac{209}{1080} } \times \frac{33}{4} \\ \\ \\ f = \frac{ \frac{ \cancel{19} \: {}^{1} }{ \cancel{18} \: {}^{1} } }{ \frac{ \cancel{209} \: {}^{11} }{ \cancel{1080} \: {}^{60} } } \times \frac{33}{4} \\ \\ \\ f = \frac{60}{11} \times \frac{33}{4} \\ \\ \\ f = \frac{ \cancel{60} \: {}^{15} }{ \cancel{11}_1} \times \frac{ \cancel{33} \: {}^{3} }{ \cancel{4}_1} \\ \\ \\ f = 15 \times 3 \\ \\ \boxed{f = 45}$

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Saludos :)

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