Решение:
а) |−$\frac{1}{2}$| + |$\frac{1}{2}$| = $\frac{1}{2}$ + $\frac{1}{2}$ = $\frac{1 + 1}{2}$ = $\frac{2}{2}$ = 1;
б) |$\frac{2}{3}$| + |−$\frac{1}{3}$| = $\frac{2}{3}$ + $\frac{1}{3}$ = $\frac{2 + 1}{3}$ = $\frac{3}{3}$ = 1;
в) |−$\frac{13}{23}$| − |$\frac{13}{23}$| = $\frac{13}{23}$ − $\frac{13}{23}$ = 0;
г) |−3$\frac{2}{3}$| − |−2$\frac{2}{3}$| = 3$\frac{2}{3}$ − 2$\frac{2}{3}$ = 1;
д) |−3$\frac{1}{3}$| * |−2$\frac{2}{5}$| = 3$\frac{1}{3}$ * 2$\frac{2}{5}$ = $\frac{10}{3}$ * $\frac{12}{5}$ = $\frac{2}{1}$ * $\frac{4}{1}$ = 8;
е) |2$\frac{3}{5}$| : |−5$\frac{1}{5}$| = $\frac{13}{5}$ : $\frac{26}{5}$ = $\frac{13}{5}$ * $\frac{5}{26}$ = $\frac{1}{1}$ * $\frac{1}{2}$ = $\frac{1}{2}$.
Ответ:
а) 1;
б) 1;
в) 0;
г) 1;
д) 8;
е) $\frac{1}{2}$.