(5/3-1)-(1/3-1/6)+5/10-1=
(5/3-1)-(1/3-1/6)+5/10-1=
$(2/3)-(1/6)+5/10-1$
$3/6+1/2-1$
$1/2+1/2-1$
$1-1$
$0$
(5/3-1)-(1/3-1/6)+5/10-1=
=============================================
$\big(\frac{5}{3}-1\big)-\big(\frac{1}{3}-\frac{1}{6}\big)+\frac{5}{10}-1=$
$= \big(\frac{5-3}{3}\big)-\big(\frac{2-1}{6}\big)+\frac{1}{2}-1=$
$= \frac{2}{3}-\frac{1}{6}+\frac{1}{2}-1=$
$= \frac{4-1+3-6}{6}=$
$=\frac{0}{6}=$
$=0$