Question

- 36 4/9 - (-10 2/9) ( 18 2/9)=what does it equal

Answer 1

option A.

Explanation:

Conversion of the mixed numbers to fraction:

`-36(4)/(9)=((-36\ast9)-4)/(9)=(-328)/(9)`
`-10(2)/(9)=(-10\ast9-2)/(9)=(-92)/(9)`
`18(2)/(9)=(-18\ast9-2)/(9)=(164)/(9)`

Operations:

`-(328)/(9)-(-(92)/(9))-(164)/(9)=(-328-164+92)/(9)=-(400)/(9)`

Conversion of the result to mixed number:

-400/9 is -44 with modulo 4.

So the answer is, as a mixed number

`-44(4)/(9)`

Which is option A.