Question

me ajudem por favor!!!
matemática-fração

Answer 1

e)
           $\frac{4}{9} -[ \frac{1}{36} -( \frac{4}{12} + \frac{1}{4} )] \\ \\ = \frac{4}{9} -[ \frac{1}{36} -( \frac{4}{12} + \frac{3}{12} )] \\ \\ = \frac{4}{9} -[ \frac{1}{36} - \frac{7}{12} ] \\ \\ = \frac{4}{9} -[ \frac{1}{36} - \frac{21}{36} ] \\ \\ = \frac{4}{9} -[- \frac{20}{36} ] \\ \\ = \frac{4}{9} + \frac{20}{36} \\ \\ = \frac{16}{36} + \frac{20}{36} \\ \\ = \frac{36}{36} \\ \\ = 1$

f)
           {$\frac{12}{10} -( \frac{2}{3} +1)[-0,4 -( \frac{1}{3} -1)]$}

           = {$\frac{12}{10} -( \frac{5}{3} )+[- \frac{4}{10} -(- \frac{2}{3} )]$}

          = {$\frac{12}{10} - \frac{5}{3} +[- \frac{4}{10} + \frac{2}{3} ]$}

          = {$\frac{36-50}{30} +[ \frac{-12+20}{30} ]$}

          = {$- \frac{14}{30} + \frac{8}{30}$}

          = $-\frac{6}{30} \\ \\ = - \frac{1}{5}$

g)
           $-0,4-[1-[ \frac{2}{3} -1-( \frac{1}{4} - \frac{6}{3} )]] \\ \\ =- \frac{4}{10} -[1-[ \frac{2}{3} - \frac{3}{3} -( \frac{3}{12} - \frac{24}{12})]] \\ \\ =- \frac{4}{10} -[1-[- \frac{1}{3} -( \frac{21}{12} )]] \\ \\ =- \frac{4}{10} -[1-[ \frac{4}{12} - \frac{21}{12} ]] \\ \\ = -\frac{4}{10} -[ \frac{12}{12} + \frac{17}{12}] \\ \\= - \frac{4}{10} - \frac{29}{12} \\ \\ = \frac{-24-145}{60} \\ \\ =- \frac{169}{60}$

h)
            $\frac{2}{3} -[1-[ \frac{2}{3} -(- \frac{1}{2} + \frac{1}{4})]] \\ \\ = \frac{2}{3} -[1-[ -\frac{2}{4} + \frac{1}{4} )]] \\ \\ = \frac{2}{3} -[ \frac{4}{4} -[- \frac{1}{4}]] \\ \\ = \frac{2}{3} -[ \frac{4}{4} + \frac{1}{4}] \\ \\ = \frac{2}{3}- \frac{5}{4} \\ \\ = \frac{8-15}{12} \\ \\ =- \frac{7}{12}$