Question

[Gia Hân]

1/6 : (x-1/3)-5/6= 5/9 nhân hỗn số 2 và 8/6 Giúp tớ nhé.

Answer 1

[Đinh Thùy Linh]

\(\frac{1}{6}:\left(x-\frac{1}{3}\right)-\frac{5}{6}=\frac{5}{9}\times2\frac{8}{6}\)

\(\Leftrightarrow\frac{1}{6}:\left(\frac{3x-1}{3}\right)=\frac{5}{6}+\frac{5}{9}\times2\frac{4}{3}\)

\(\Leftrightarrow\frac{1}{6}\times\frac{3}{3x-1}=\frac{5}{6}+\frac{5}{9}\times\frac{10}{3}\)

\(\Leftrightarrow\frac{1}{2}\times\frac{1}{3x-1}=\frac{45+100}{54}\)

\(\Leftrightarrow\frac{1}{3x-1}=\frac{2\cdot145}{54}=\frac{145}{27}\)

\(\Leftrightarrow3x-1=\frac{27}{145}\Leftrightarrow3x=\frac{27}{145}+1=\frac{172}{145}\)

\(\Leftrightarrow x=\frac{172}{435}\).

Answer 2

[Gia Hân]

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