Solve for: w-4 (2)/(5)=(1)/(10)

Expression: $w-4 \frac{ 2 }{ 5 }=\frac{ 1 }{ 10 }$

Convert the mixed number to an improper fraction

$w-\frac{ 22 }{ 5 }=\frac{ 1 }{ 10 }$

Move the constant to the right-hand side and change its sign

$w=\frac{ 1 }{ 10 }+\frac{ 22 }{ 5 }$

Add the fractions

$\begin{align*}&w=\frac{ 9 }{ 2 } \\&\begin{array} { l }w=4 \frac{ 1 }{ 2 },& w=4.5\end{array}\end{align*}$