Răspuns:
a)
[tex](-\frac{4}{3} )* (-\frac{5}{8}+\frac{1}{4}) = (-\frac{4}{3} )* (-\frac{5}{8})+(-\frac{4}{3})*\frac{1}{4} = \frac{5}{6} -\frac{1}{3} =\frac{5-2}{6}=\frac{3}{6} =\frac{1}{2} \\\\(-\frac{4}{3} )* (-\frac{5}{8}+\frac{1}{4}) =(-\frac{4}{3} )*(\frac{-5+2}{8} )=(-\frac{4}{3} )*(\frac{-3}{8})=\frac{1}{2}[/tex]
b)
[tex]\frac{37}{25}*(\frac{7}{5}-\frac{3}{20})=\frac{37}{25}*\frac{7}{5}- \frac{37}{25}* \frac{3}{20} =\frac{37*7}{125}-\frac{37*3}{500}=\frac{37*7*4-37*3}{500}=\frac{1036-111}{500} =\frac{945}{500}=\frac{37}{20} \\\\\frac{37}{25}*(\frac{7}{5}-\frac{3}{20}) =\frac{37}{25}*\frac{28-3}{20}=\frac{37}{20}[/tex]
d)
[tex]0,75 * (-\frac{7}{3} +\frac{5}{6}) = 0,75 * (-2,333 +0,833) = 0,75 * (-1,497) = - 1,13\\\\0,75 * (-\frac{7}{3} +\frac{5}{6}) = \frac{75}{100} *(-\frac{7}{3})+\frac{75}{100}*\frac{5}{6}=\frac{3}{4} *(-\frac{7}{3})+\frac{3}{4}*\frac{5}{6}=-\frac{7}{4} +\frac{5}{8} = \frac{-14+5}{8} =-1,13[/tex]
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