a)\(\frac{11}{9}+\frac{7}{6}\cdot\left(2-\frac{1}{3}\right)\)
b)\(1\frac{1}{21}:\left(15,75-15\frac{1}{4}\right)+2\frac{1}{12}:\left(7\frac{3}{4}-7,25\right)\)
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\(\frac{22}{21}\): ( \(\frac{63}{4}\)\(-\frac{61}{4}\)) \(+\) \(\frac{25}{12}\): ( \(\frac{31}{4}\)\(-\)\(\frac{29}{4}\))
= \(\frac{22}{21}\): \(\frac{1}{2}\)+ \(\frac{25}{12}\): \(\frac{1}{2}\)
= ( \(\frac{22}{21}\)+ \(\frac{25}{12}\) ) : \(\frac{1}{2}\)
= \(\frac{263}{84}\) : \(\frac{1}{2}\)
=\(\frac{263}{42}\)
\(1\frac{1}{21}:\left(15,75-15\frac{1}{4}\right)+2\frac{1}{12}:\left(7\frac{3}{4}-7,25\right)\)
=\(\frac{22}{21}:\left(\frac{63}{4}-\frac{61}{4}\right)+\frac{25}{12}:\left(\frac{31}{4}-\frac{29}{4}\right)\)
=\(\frac{22}{21}:\frac{1}{2}+\frac{25}{12}:\frac{1}{2}=\frac{22x2}{21}+\frac{25x2}{12}\)
=\(\frac{44}{21}+\frac{25}{6}=\frac{88+175}{42}=\frac{263}{42}\)
\(A=\frac{15}{34}+\frac{7}{21}+\frac{9}{34}-1\frac{15}{17}+\frac{2}{3}=\frac{15}{34}+\frac{7}{21}+\frac{9}{34}-\frac{64}{34}+\frac{14}{21}=\left(\frac{15}{34}+\frac{9}{34}-\frac{64}{34}\right)+\left(\frac{7}{21}+\frac{14}{21}\right)=\frac{30}{34}+\frac{21}{21}=\frac{15}{17}+1=\frac{32}{17}\)
\(\frac{11}{9}+\frac{35}{18}\)
\(=\frac{19}{6}\)
\(\frac{22}{21}:\frac{1}{2}+\frac{25}{12}:\frac{1}{2}\)
\(\frac{44}{21}+\frac{25}{6}\)
\(\frac{263}{42}\)
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