11 2/9 - 10 - 1/9 - 8 answer in simplest form

Answer 1

To solve the expression $11\frac{2}{9}-10-\frac{1}{9}-8$, we can follow these steps:

1. Convert $11\frac{2}{9}$ to an improper fraction: $$11\frac{2}{9}=\frac{11\times 9+2}{9}=\frac{99+2}{9}=\frac{101}{9}$$

2. Rewrite the whole numbers $10$ and $8$ as fractions with the common denominator of $9$: $$10=\frac{10\times 9}{9}=\frac{90}{9}$$ $$8=\frac{8\times 9}{9}=\frac{72}{9}$$

3. Substitute these fractions into the expression: $$\frac{101}{9}-\frac{90}{9}-\frac{1}{9}-\frac{72}{9}$$

4. Now combine all the fractions: $$\frac{101-90-1-72}{9}=\frac{101-90-1-72}{9}=\frac{101-163}{9}=\frac{-62}{9}$$

5. The final answer in simplest form is: $$\frac{-62}{9}$$

Thus, the answer is $-\frac{62}{9}$.