a: \(\frac34\cdot\frac{16}{9}-\frac75:\frac{-21}{20}\)
\(=\frac{48}{36}+\frac75\cdot\frac{20}{21}\)
\(=\frac43+\frac43=\frac83\)
b: \(2\frac13-\frac13\cdot\left\lbrack-\frac32+\left(\frac23+0,4\cdot5\right)\right\rbrack\)
\(=\frac73-\frac13\left(-\frac32+\frac23+2\right)\)
\(=\frac73-\frac13\left(-\frac96+\frac46+\frac{12}{6}\right)\)
\(=\frac73-\frac13\cdot\frac76=\frac73-\frac{7}{18}=\frac{42}{18}-\frac{7}{18}=\frac{35}{18}\)
c: \(\left(20+9\frac14\right):2\frac14\)
\(=\left(29+\frac14\right):\frac94=\frac{117}{4}\cdot\frac49\)
\(=\frac{117}{9}=13\)
d: \(\left(6-2\frac45\right)\cdot3\frac18-1\frac35:\frac14\)
\(=\left(6-2-\frac45\right)\cdot\frac{11}{8}-\frac85\cdot4\)
\(=\left(4-\frac45\right)\cdot\frac{11}{8}-\frac{32}{5}\)
\(=\frac{16}{5}\cdot\frac{11}{8}-\frac{32}{5}=\frac{2\cdot11}{5}-\frac{32}{5}=\frac{22}{5}-\frac{32}{5}=-\frac{10}{5}=-2\)
e: \(\frac{32}{15}:\left(-1\frac15+1\frac13\right)\)
\(=\frac{32}{15}:\left(-1-\frac15+1+\frac13\right)\)
\(=\frac{32}{15}:\left(\frac13-\frac15\right)\)
\(=\frac{32}{15}:\frac{2}{15}=\frac{32}{2}=16\)
g: \(0,2\cdot\frac{15}{36}-\left(\frac25+\frac23\right):1\frac15\)
\(=\frac{3}{36}-\left(\frac{6}{15}+\frac{10}{15}\right):\frac65\)
\(=\frac{1}{12}-\frac{16}{15}\cdot\frac56=\frac{1}{12}-\frac{16}{3\cdot6}=\frac{1}{12}-\frac{16}{18}\)
\(=\frac{3}{36}-\frac{32}{36}=-\frac{29}{36}\)
h: \(1\frac{13}{15}\cdot0,75-\left(\frac{8}{15}+0,25\right)\cdot\frac{24}{47}\)
\(=\frac{28}{15}\cdot\frac34-\left(\frac{8}{15}+\frac14\right)\cdot\frac{24}{47}\)
\(=\frac75-\frac{47}{60}\cdot\frac{24}{47}=\frac75-\frac25=\frac55=1\)
g: \(5:\left(4\frac34-1\frac{25}{28}\right)-1\frac38:\left(\frac38+\frac{9}{20}\right)\)
\(=5:\left(4+\frac34-1-\frac{25}{28}\right)-\frac{11}{8}:\left(\frac{15}{40}+\frac{18}{40}\right)\)
\(=5:\left(3+\frac{21}{28}-\frac{25}{28}\right)-\frac{11}{8}:\frac{33}{40}\)
\(=5:\left(3-\frac{4}{28}\right)-\frac{11}{8}\cdot\frac{40}{33}=5:\left(3-\frac17\right)-\frac53\)
\(=5:\frac{20}{7}-\frac53=5\cdot\frac{7}{20}-\frac53=\frac74-\frac53=\frac{21-20}{12}=\frac{1}{12}\)
