Find
`-2 (1)/(9) - 6 `

Answer

To solve the expression \(-2 \frac{1}{9} - 6\), we will follow these steps:

### Step 1: Convert the mixed number to an improper fraction
The mixed number \(-2 \frac{1}{9}\) can be converted to an improper fraction.

To do this:
1. Multiply the whole number part (-2) by the denominator (9).
\[ -2 \times 9 = -18 \]
2. Add the numerator (1) to this result:
\[ -18 + 1 = -17 \]
3. The denominator remains the same (9), so:
\[ -2 \frac{1}{9} = \frac{-17}{9} \]

### Step 2: Rewrite the expression
Now we can rewrite the original expression using the improper fraction:
\[ \frac{-17}{9} - 6 \]

### Step 3: Convert 6 to a fraction
To perform the subtraction, we need to express 6 as a fraction with a denominator of 9:
\[ 6 = \frac{6 \times 9}{1 \times 9} = \frac{54}{9} \]

### Step 4: Rewrite the expression with a common denominator
Now we can rewrite the expression:
\[ \frac{-17}{9} - \frac{54}{9} \]

### Step 5: Combine the fractions
Since both fractions have the same denominator, we can combine them:
\[ \frac{-17 - 54}{9} = \frac{-71}{9} \]

### Step 6: Final answer
Thus, the final answer is:
\[ \frac{-71}{9} \]

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