d) $2\cdot \left|-\frac{1}{4}\right|-3\cdot \left|\frac{5}{8}\right|+8\cdot |-\frac{3}{16}|=2\cdot \frac{1}{4}-3\cdot \frac{5}{8}+8\cdot \frac{3}{16}=\frac{1}{2}-\frac{15}{8}+\frac{3}{2}=$
$=\frac{4}{8}-\frac{15}{8}+\frac{12}{8}=\frac{4-15+12}{8}=\frac{1}{8}$

Przykład 3. Uprość wyrażenie:

a) $\left|2x-6\right|-2\left|x-3\right|=\left|2\left(x-3\right)\right|-2\left|x-3\right|=\left|2\right|\cdot \left|x-3\right|-2\left|x-3\right|=2\left|x-3\right|-2\left|x-3\right|=0$

b) $3\cdot \left|\frac{x-5}{3}\right|+\left|5-x\right|=3\cdot \frac{\left|x-5\right|}{\left|3\right|}+\left|5-x\right|={\bcancel{3}}_1\cdot \frac{\left|x-5\right|}{{\bcancel{3}}_1}+\left|5-x\right|=\left|x-5\right|+\left|x-5\right|=2\left|x-5\right|$