Answer:
-64
Step-by-step explanation:
Given expression
[tex]\left(6 \dfrac{8}{25}\div (-1)-(-0.8)\cdot (-0.1)\right)\div\left (-0.25\div 1.25-1 \dfrac{3}{5} \div\left(-5 \dfrac{1}{3} \right)\right)[/tex]
Perform all multiplications and divisions:
[tex]6\dfrac{8}{25}\div (-1)=-6\dfrac{8}{25}\\ \\(-0.8)\cdot (-0.1)=0.08\\ \\-0.25\div 1.25=-\dfrac{0.25}{1.25}=-\dfrac{25}{125}=-\dfrac{1}{5}\\ \\1\dfrac{3}{5}\div \left(-5\dfrac{1}{3}\right)=-\dfrac{8}{5}\cdot \dfrac{3}{16}=-\dfrac{3}{10}[/tex]
Now subtract results in brackets:
[tex]-6 \dfrac{8}{25}-0.08=-6.32-0.08=-6.4\\ \\-\dfrac{1}{5}-\left(-\dfrac{3}{10}\right)=-0.2+0.3=0.1[/tex]
Now, divide:
[tex]-6.4\div 0.1=-\dfrac{6.4}{0.1}=-\dfrac{64}{1}=-64[/tex]
