\(\frac{4}{2}+\frac{-7}{15}-\frac{-2}{2}-\frac{2}{3}\)
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\(a.\frac{108}{119}.\frac{107}{211}+\frac{108}{119}.\frac{104}{211}=\frac{108}{119}.\left(\frac{107}{211}+\frac{104}{211}\right)=\frac{108}{119}.1=108\)
a: \(=\left(-\dfrac{25}{140}+\dfrac{245}{140}+\dfrac{32}{140}\right)\cdot\dfrac{-69}{20}\)
\(=\dfrac{252}{140}\cdot\dfrac{-69}{20}\)
\(=\dfrac{9}{5}\cdot\dfrac{-69}{20}=\dfrac{-621}{100}\)
b: \(=\left(6-2-\dfrac{4}{5}\right)\cdot\dfrac{25}{8}-\dfrac{8}{5}\cdot4\)
\(=\dfrac{16}{5}\cdot\dfrac{25}{8}-\dfrac{32}{5}=\dfrac{18}{5}\)
c: \(=\left(\dfrac{2}{24}+\dfrac{18}{24}+\dfrac{14}{24}\right):\dfrac{-17}{8}\)
\(=\dfrac{34}{24}\cdot\dfrac{-8}{17}=\dfrac{-1}{3}\cdot2=-\dfrac{2}{3}\)
2: \(=\dfrac{0.8}{\dfrac{16}{25}-\dfrac{1}{25}}+\dfrac{\dfrac{71}{75}\cdot\dfrac{7}{4}}{\dfrac{119}{36}\cdot\dfrac{36}{17}}\)
\(=\dfrac{4}{5}\cdot\dfrac{5}{3}+\dfrac{71}{300}=\dfrac{471}{300}=\dfrac{157}{100}\)
3: \(=\dfrac{\dfrac{2}{5}-\dfrac{2}{9}+\dfrac{2}{11}}{\dfrac{7}{5}-\dfrac{7}{9}+\dfrac{7}{11}}-\dfrac{\dfrac{2}{6}-\dfrac{2}{8}+\dfrac{2}{10}}{\dfrac{7}{6}-\dfrac{7}{8}+\dfrac{7}{10}}\)
=2/7-2/7=0
a) \(\frac{{ - 2}}{7}:\frac{4}{7} = \frac{{ - 2}}{7}.\frac{7}{4} = \frac{{ - 2}}{4} = \frac{{ - 1}}{2}\)
b) \(\frac{{ - 4}}{5}:\frac{{ - 3}}{{11}} = \frac{{ - 4}}{5}.\frac{{11}}{{ - 3}} = \frac{{ - 44}}{{ - 15}} = \frac{{44}}{{15}}\)
c) \(4:\frac{{ - 2}}{5} = 4.\frac{5}{{ - 2}} = \frac{{20}}{{ - 2}} = - 10\)
d) \(\frac{{15}}{{ - 8}}:6 = \frac{{15}}{{ - 8}}.\frac{1}{6} = \frac{{ - 15}}{{48}}= \frac{{ - 5}}{{16}}\).
a) \(\dfrac{-2}{7}:\dfrac{4}{7}=\dfrac{-2}{7}.\dfrac{7}{4}=\dfrac{-2.7}{7.4}=\dfrac{-1}{2}\)
b) \(\dfrac{-4}{5}:\dfrac{-3}{11}=\dfrac{-4}{5}.\dfrac{-11}{3}=\dfrac{-4.\left(-11\right)}{5.3}=\dfrac{44}{15}\)
c) \(4:\dfrac{-2}{5}=4.\dfrac{-5}{2}=\dfrac{4.\left(-5\right)}{2}=-10\)
d) \(\dfrac{15}{-8}:6=\dfrac{-15}{8}.\dfrac{1}{6}=\dfrac{-15}{8.6}=\dfrac{-5}{16}\)
\(\frac{4}{2}+\frac{-7}{15}-\frac{-2}{2}-\frac{2}{3}\)
\(=2+\frac{-7}{15}+1-\frac{2}{3}\)
\(=2+1-\frac{7}{15}-\frac{2}{3}\)
\(=3-\left(\frac{7}{15}+\frac{2}{3}\right)\)
\(=3-\frac{17}{15}=\frac{28}{15}\)