Answer:
[tex]-\frac{2}{15}[/tex]
Step-by-step explanation:
[tex]\frac{2-\left|-\frac{2}{3}-2\left(-\frac{1}{5}\right)\right|}{-13}[/tex]
[tex]\mathrm{Apply\:rule}:\quad \:-a\left(-b\right)=ab[/tex]
[tex]-2\left(-\frac{1}{5}\right)=2\cdot \frac{1}{5}[/tex]
[tex]=\frac{2-\left|-\frac{2}{3}+2\cdot \frac{1}{5}\right|}{-13}[/tex]
[tex]-\frac{2}{3}+2*\frac{1}{5}=-\frac{4}{15}[/tex]
[tex]=\frac{2-\left|-\frac{4}{15}\right|}{-13}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}[/tex]
[tex]=-\frac{2-\left|-\frac{4}{15}\right|}{13}[/tex]
[tex]Simplify\;2-|-\frac{4}{15}|:\frac{26}{15}[/tex]
[tex]=-\frac{\frac{26}{15}}{13}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{a}{b}}{c}=\frac{a}{b\cdot \:c}[/tex]
[tex]\frac{\frac{26}{15}}{13}=\frac{26}{15\cdot \:13}[/tex]
[tex]=-\frac{26}{15\cdot \:13}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:15\cdot \:13=195[/tex]
[tex]=-\frac{26}{195}[/tex]
[tex]Cancel-\frac{26}{195}:-\frac{2}{15}[/tex]
Answer = -2/15
[RevyBreeze]
