Question

[Nguyễn Tuấn Tài]

tìm x

-9/ 46 - 4 1/23 : ( 3 1/4 - x: 3/5 )+ 2 8/23 = 1

Answer 1

[Nguyễn Lưu Vũ Quang]

\(\dfrac{-9}{46}-4\dfrac{1}{23}:\left(3\dfrac{1}{4}-x:\dfrac{3}{5}\right)+2\dfrac{8}{23}=1\)

\(\dfrac{-9}{46}+2\dfrac{8}{23}-4\dfrac{1}{23}:\left(3\dfrac{1}{4}-x:\dfrac{3}{5}\right)=1\)

\(\dfrac{-9}{46}+\dfrac{54}{23}-\dfrac{93}{23}:\left(\dfrac{13}{4}-x:\dfrac{3}{5}\right)=1\)

\(\dfrac{-9}{46}+\dfrac{108}{46}-\dfrac{93}{23}:\left(\dfrac{13}{4}-x:\dfrac{3}{5}\right)=1\)

\(\dfrac{99}{46}-\dfrac{93}{23}:\left(\dfrac{13}{4}-x:\dfrac{3}{5}\right)=1\)

\(\dfrac{93}{23}:\left(\dfrac{13}{4}-x:\dfrac{3}{5}\right)=\dfrac{99}{46}-1\)

\(\dfrac{93}{23}:\left(\dfrac{13}{4}-x:\dfrac{3}{5}\right)=\dfrac{99}{46}-\dfrac{46}{46}\)

\(\dfrac{93}{23}:\left(\dfrac{13}{4}-x:\dfrac{3}{5}\right)=\dfrac{53}{46}\)

\(\dfrac{13}{4}-x:\dfrac{3}{5}=\dfrac{93}{23}:\dfrac{53}{46}\)

\(\dfrac{13}{4}-x:\dfrac{3}{5}=\dfrac{93}{23}\cdot\dfrac{46}{53}\)

\(\dfrac{13}{4}-x:\dfrac{3}{5}=\dfrac{186}{53}\)

\(x:\dfrac{3}{5}=\dfrac{13}{4}-\dfrac{186}{53}\)

\(x:\dfrac{3}{5}=\dfrac{689}{212}-\dfrac{744}{212}\)

\(x:\dfrac{3}{5}=\dfrac{-55}{212}\)

\(x=\dfrac{-55}{212}\cdot\dfrac{3}{5}\)

\(x=\dfrac{-33}{212}\)

Vậy \(x=\dfrac{-33}{212}\).