Respuesta :
Answer:
[tex]-2\frac{2}{21}+(-0.25\div(-14)-1.5\div(-\frac{3}{16}))\div(-4\frac{1}{11})=-4.0551[/tex]
Step-by-step explanation:
Given : Expression [tex]-2\frac{2}{21}+(-0.25\div(-14)-1.5\div(-\frac{3}{16}))\div(-4\frac{1}{11})[/tex]
To find : Simplify the expression ?
Solution :
Using BODMAS,
[tex]-2\frac{2}{21}+(-0.25\div(-14)-1.5\div(-\frac{3}{16}))\div(-4\frac{1}{11})[/tex]
[tex]=-\frac{44}{21}+(-0.25\div(-14)-1.5\div(-\frac{3}{16}))\div(-\frac{45}{11})[/tex]
[tex]=-\frac{44}{21}+(\frac{0.25}{14}+\frac{1.5\times 16}{3})\div(-\frac{45}{11})[/tex]
[tex]=-\frac{44}{21}+(\frac{0.25}{14}+\frac{24}{3})\div(-\frac{45}{11})[/tex]
[tex]=-\frac{44}{21}+(\frac{0.25\times 3+24\times 14}{14\times 3})\div(-\frac{45}{11})[/tex]
[tex]=-\frac{44}{21}+(\frac{336.75}{42})\div(-\frac{45}{11})[/tex]
[tex]=-\frac{44}{21}-\frac{336.75\times 11}{42\times 45}[/tex]
[tex]=-\frac{44}{21}-\frac{3704.25}{1890}[/tex]
[tex]=\frac{-44\times 1890-3704.25\times 21}{21\times 1890}[/tex]
[tex]=\frac{-160949.25}{39690}[/tex]
[tex]=−4.0551[/tex]
Therefore, [tex]-2\frac{2}{21}+(-0.25\div(-14)-1.5\div(-\frac{3}{16}))\div(-4\frac{1}{11})=-4.0551[/tex]
