Question

−2 2 21 +(−0.25÷(− 1 4 )−1.5÷(− 3 16 ))÷(−4 1 11 )

Answer 1

Answer:

$-2\frac{2}{21}+(-0.25\div(-14)-1.5\div(-\frac{3}{16}))\div(-4\frac{1}{11})=-4.0551$

Step-by-step explanation:

Given : Expression $-2\frac{2}{21}+(-0.25\div(-14)-1.5\div(-\frac{3}{16}))\div(-4\frac{1}{11})$  

To find : Simplify the expression ?

Solution :

Using BODMAS,

$-2\frac{2}{21}+(-0.25\div(-14)-1.5\div(-\frac{3}{16}))\div(-4\frac{1}{11})$  

$=-\frac{44}{21}+(-0.25\div(-14)-1.5\div(-\frac{3}{16}))\div(-\frac{45}{11})$

$=-\frac{44}{21}+(\frac{0.25}{14}+\frac{1.5\times 16}{3})\div(-\frac{45}{11})$

$=-\frac{44}{21}+(\frac{0.25}{14}+\frac{24}{3})\div(-\frac{45}{11})$

$=-\frac{44}{21}+(\frac{0.25\times 3+24\times 14}{14\times 3})\div(-\frac{45}{11})$

$=-\frac{44}{21}+(\frac{336.75}{42})\div(-\frac{45}{11})$

$=-\frac{44}{21}-\frac{336.75\times 11}{42\times 45}$

$=-\frac{44}{21}-\frac{3704.25}{1890}$

$=\frac{-44\times 1890-3704.25\times 21}{21\times 1890}$

$=\frac{-160949.25}{39690}$

$=−4.0551$

Therefore, $-2\frac{2}{21}+(-0.25\div(-14)-1.5\div(-\frac{3}{16}))\div(-4\frac{1}{11})=-4.0551$