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\(\dfrac{25}{3}.x=\dfrac{5}{6}+\dfrac{4}{3}\)
\(\dfrac{25}{3}.x=\dfrac{13}{6}\)
\(x=\dfrac{13}{3}:\dfrac{25}{3}\)
\(x=\dfrac{39}{75}\)
\(a,\frac{33\cdot21\cdot18}{9\cdot22\cdot14}=\frac{11\cdot3\cdot7\cdot3\cdot9\cdot2}{9\cdot11\cdot2\cdot7\cdot2}=\frac{9}{2}\)
\(b,\frac{36\cdot7\cdot12}{6\cdot49\cdot4}=\frac{9\cdot4\cdot7\cdot6\cdot2}{6\cdot7\cdot7\cdot4}=\frac{18}{7}\)
\(x+\dfrac{4}{5}\times\dfrac{3}{8}=\dfrac{3}{2}\)
\(x+\dfrac{3}{10}=\dfrac{3}{2}\)
\(x=\dfrac{3}{2}-\dfrac{3}{10}\)
\(x=\dfrac{12}{10}=\dfrac{6}{5}\)
\(x-\dfrac{3}{2}=\dfrac{2}{3}\)
\(x=\dfrac{2}{3}+\dfrac{3}{2}\)
\(x=\dfrac{13}{6}\)
\(x+\dfrac{5}{9}=2.\\ x=2-\dfrac{5}{9}.\\ x=\dfrac{13}{9}.\)
\(x=\dfrac{4}{7}:\dfrac{3}{5}=\dfrac{4\times5}{7\times3}=\dfrac{20}{21}\)
\(\dfrac{3\times15\times8}{12\times6\times5}=\dfrac{3\times3\times5\times4\times2}{4\times3\times2\times3\times5}=1\)
\(=\dfrac{3\cdot120}{60\cdot6}=\dfrac{2}{2}=1\)