Question

[Nguyễn Ngọc Tường Vy]

Tìm X (1/3 - 3/2 + 5/6) : (11/3 - 3x) = 1 : ( 1/4 - 5/2 + 4/3)

Answer 1

[Cô nàng xinh đẹp]

\(\left(\frac{1}{3}-\frac{3}{2}+\frac{5}{6}\right):\left(\frac{11}{3}-3x\right)=1:\left(\frac{1}{4}-\frac{5}{2}+\frac{4}{3}\right)\)

\(\Leftrightarrow\left(\frac{1}{3}-\frac{3}{2}+\frac{5}{6}\right):\left(\frac{11}{3}-3x\right)=\frac{-11}{12}\)

\(\Leftrightarrow\frac{-1}{3}:\left(\frac{11}{3}-3x\right)=\frac{-11}{12}\)

\(\frac{11}{3}-3x=\frac{-1}{3}-\frac{-11}{12}\)

\(\frac{11}{3}-3x=\frac{7}{12}\)

\(3x=\frac{11}{3}-\frac{7}{12}\)

\(3x=\frac{27}{12}\)

\(x=\frac{27}{12}:3\)

\(x=\frac{3}{4}\)

Answer 2

[Đức Phạm]

\(\left(\frac{1}{3}-\frac{3}{2}+\frac{5}{6}\right)\div\left(\frac{11}{3}-3x\right)=1\div\left(\frac{1}{4}-\frac{5}{2}+\frac{4}{3}\right)\)

\(\left(\frac{2}{6}-\frac{9}{6}+\frac{5}{6}\right)\div\left(\frac{11}{3}-3x\right)=1\div\left(\frac{3}{12}-\frac{30}{12}+\frac{16}{12}\right)\)

\(-\frac{1}{3}\div\left(\frac{11}{3}-3x\right)=1\div-\frac{11}{12}\)

\(-\frac{1}{3}\div\frac{11}{3}-3x=-\frac{12}{11}\)

\(\frac{11}{3}-3x=\left(-\frac{1}{3}\right)\div\left(-\frac{12}{11}\right)\)

\(\frac{11}{3}-3x=\frac{11}{36}\)

\(3x=\frac{11}{3}-\frac{11}{36}\)

\(3x=\frac{121}{36}\)

\(\Rightarrow x=\frac{121}{108}\)