\(\frac{7}{9}:\left(2+\frac{3}{4}.x\right)+\frac{5}{9}=\frac{23}{27}\)
\(\frac{7}{9}:\left(2+\frac{3}{4}.x\right)=\frac{23}{27}-\frac{5}{9}\)
\(\frac{7}{9}:\left(2+\frac{3}{4}.x\right)=\frac{8}{27}\)
\(2+\frac{3}{4}.x=\frac{7}{9}:\frac{8}{27}\)
\(2+\frac{3}{4}.x=\frac{21}{8}\)
\(\frac{3}{4}.x=\frac{21}{8}-2\)
\(\frac{3}{4}.x=\frac{5}{8}\)
\(x=\frac{5}{8}:\frac{3}{4}\)
\(x=\frac{5}{6}\)
\(\frac{7}{9}:\left(\frac{2+3}{4x}\right)+\frac{5}{9}=\frac{23}{27}\)
\(\Leftrightarrow\frac{7}{9}:\frac{5}{4x}=\frac{23}{27}-\frac{5}{9}\)
\(\Leftrightarrow\frac{7}{9}:\frac{5}{4x}=\frac{8}{27}\)
\(\Leftrightarrow\frac{5}{4x}=\frac{7}{9}:\frac{8}{27}\)
\(\Leftrightarrow\frac{5}{4x}=\frac{21}{8}\)
\(\Leftrightarrow4x=\frac{5.8}{21}\)
\(\Leftrightarrow4x=\frac{40}{21}\)
\(\Leftrightarrow x=\frac{40}{21}:4\)
\(\Leftrightarrow x=\frac{10}{21}\)
Vậy x = \(\frac{10}{21}\)
_Chúc bạn học tốt_
\(\frac{7}{9}:\left(2+\frac{3}{4x}\right)+\frac{5}{9}=\frac{23}{27}\)
\(\frac{7}{9}:\left(2+\frac{3}{4x}\right)=\frac{23}{27}-\frac{5}{9}\)
\(\frac{7}{9}:\left(2+\frac{3}{4x}\right)=\frac{8}{27}\)
\(2+\frac{3}{4x}=\frac{7}{9}:\frac{8}{27}\)
\(2+\frac{3}{4x}=\frac{21}{8}\)
\(\frac{3}{4x}=\frac{21}{8}-2\)
\(\frac{3}{4x}=\frac{5}{8}\)
Vì \(\frac{3}{4x}=\frac{5}{8}\)nên \(3.8=4x.5\)
\(24=4x.5\)
\(24=20x\)
\(x=1,2\)