Răspuns :

[tex]\it = (-\dfrac{13}{16}-\dfrac{1}{8}\cdot\dfrac{4}{5})\cdot\dfrac{8}{13}=(-\dfrac{13}{16}-\dfrac{1}{10})\cdot\dfrac{8}{13}=-\dfrac{1}{2}-\dfrac{4}{65}=-\dfrac{73}{130}[/tex]

Răspuns: [tex]\bf \red{ -\dfrac{73}{130}}[/tex]

Explicație pas cu pas:

Buna !

[tex]\bf \bigg(-\dfrac{13}{16} -\dfrac{1}{8}:\dfrac{5}{4} \bigg):\dfrac{13}{8}= \bigg(-\dfrac{13}{16} -\dfrac{1}{\not8}\cdot\dfrac{\not4}{5} \bigg)\cdot\dfrac{8}{13}=[/tex]

[tex]\bf \bigg(-\dfrac{13}{16} -\dfrac{1}{2}\cdot\dfrac{1}{5} \bigg)\cdot\dfrac{8}{13}=\bigg(-\dfrac{^{5)}13~}{16} -\dfrac{^{8)}1~}{10} \bigg)\cdot\dfrac{8}{13}=[/tex]

[tex]\bf \bigg(-\dfrac{65}{80} -\dfrac{8}{80} \bigg)\cdot\dfrac{8}{13}=-\dfrac{73}{\not80}\cdot\dfrac{\not8}{13}=-\dfrac{73}{10}\cdot\dfrac{1}{13}=\red{\boxed{\bf -\dfrac{73}{130} }}[/tex]

P.S: Dacă ești pe telefon te rog să glisezi spre stânga pentru a vedea întreaga rezolvare.

Bafta multa !