\(\frac{3}{11}\cdot\frac{7}{19}+\frac{17}{11}\cdot\frac{3}{19}-\frac{3}{19}\cdot\frac{25}{11}\)
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a) A = \(\frac{19}{23}.\frac{-4}{27}-\frac{4}{23}.\frac{2}{7}\)
= \(\frac{19}{7}.\frac{-4}{23}+\frac{-4}{23}.\frac{2}{7}\)
= \(\frac{-4}{23}.\left(\frac{19}{7}+\frac{2}{7}\right)\)
= \(\frac{-4}{23}.3\)
= \(\frac{-12}{23}\)
b) B = \(\frac{3}{5}+\frac{2}{5}.\frac{-11}{3}+\frac{2}{3}.\frac{-2}{5}+\frac{14}{15}\)
= \(\frac{9+14}{15}+\frac{2}{5}.\frac{-11}{3}+\frac{-2}{3}.\frac{2}{5}\)
= \(\frac{23}{15}+\frac{2}{5}\left(\frac{-11}{3}+\frac{-2}{3}\right)\)
= \(\frac{23}{15}+\frac{2}{5}.\frac{-13}{3}\)
= \(\frac{23}{15}+\frac{-26}{15}\)
= \(\frac{-3}{15}=\frac{-1}{5}\)
a. \(\frac{11}{19}.\frac{13}{7}+\frac{13}{7}.\frac{8}{19}=\frac{13}{7}\left(\frac{11}{19}+\frac{8}{19}\right)=\frac{13}{7}.1=\frac{13}{7}\)
b. \(\left(\frac{1}{3}\right)^2-\left(\frac{3}{4}\right)^3.\left(\frac{4}{3}\right)^3=\frac{1}{9}-\left(\frac{3}{4}.\frac{4}{3}\right)^3=\frac{1}{9}-1=-\frac{8}{9}\)
c. \(\left|1-\frac{2}{3}\right|-2.\left(\frac{-209}{2009}\right)^0=\frac{1}{3}-2.1=\frac{1}{3}-2=-\frac{5}{3}\)
a, \(\frac{6}{7}.\frac{16}{15}.\frac{7}{6}.\frac{21}{32}=\frac{6}{7}.\frac{7}{6}.\frac{16}{15}.\frac{21}{32}\)=\(1.\frac{16}{15}.\frac{21}{32}=\frac{7}{5.2}=\frac{7}{10}\)
Phần b T2
c,\(\frac{7}{4}.\frac{11}{21}+\frac{11}{21}.\frac{5}{4}=\frac{11}{21}.\left(\frac{7}{4}+\frac{5}{4}\right)\)=\(\frac{11}{21}.3=\frac{11}{7}\)
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