Question

-36 4/9 - (-10 2/9) -(18 2/9)

Answer 1

Answer: $-44\dfrac{4}{9}$

Step-by-step explanation:

The given expression: $-36\dfrac{4}{9}-(-10\dfrac{2}{9})-(18\dfrac{2}{9})$

Here, $36\dfrac{4}{9}=\dfrac{36\times9+4}{9}=\dfrac{328}{9}$

$(10\dfrac{2}{9})=\dfrac{92}{9}\\\\(18\dfrac{2}{9})=\dfrac{9\times18+2}{9}=\dfrac{164}{9}$

That is

$-36(\dfrac{4}{9})-(-10\dfrac{2}{9})-(18\dfrac{2}{9}) = -\dfrac{328}{9}-(-\dfrac{92}{9})-\dfrac{164}{9}\\\\=-\dfrac{328}{9}+\dfrac{92}{9}-\dfrac{164}{9}\\\\=\dfrac{-328+92-164}{9}\\\\=\dfrac{-400}{9}\\\\=-44\dfrac{4}{9}$