What should be added to `(2)/(9)` to get -1?

Answer

To solve the question "What should be added to \( \frac{2}{9} \) to get -1?", we can follow these steps:

### Step 1: Set up the equation
Let \( x \) be the number that we need to add to \( \frac{2}{9} \). According to the problem, we can write the equation:
\[ \frac{2}{9} + x = -1 \]

### Step 2: Isolate \( x \)
To find \( x \), we need to isolate it on one side of the equation. We can do this by subtracting \( \frac{2}{9} \) from both sides:
\[ x = -1 - \frac{2}{9} \]

### Step 3: Convert -1 to a fraction
To perform the subtraction, we need to express -1 as a fraction with a common denominator. The denominator of \( \frac{2}{9} \) is 9, so we can write -1 as:
\[ -1 = -\frac{9}{9} \]

### Step 4: Perform the subtraction
Now we can substitute -1 in the equation:
\[ x = -\frac{9}{9} - \frac{2}{9} \]
Since both fractions have the same denominator, we can combine them:
\[ x = \frac{-9 - 2}{9} = \frac{-11}{9} \]

### Step 5: Conclusion
Thus, the number that should be added to \( \frac{2}{9} \) to get -1 is:
\[ x = -\frac{11}{9} \]

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