What should be substracted from `-2/3` to get 1?

Options

A. `-8/3`
B. `-7/3`
C. `-4/3`
D. `-5/3`

Answer

To solve the problem of what should be subtracted from \(-\frac{2}{3}\) to get \(1\), we can follow these steps:

### Step 1: Set up the equation
We need to find a number \(x\) such that when it is subtracted from \(-\frac{2}{3}\), the result is \(1\). We can write this as:
\[ -\frac{2}{3} - x = 1 \]

### Step 2: Isolate \(x\)
To isolate \(x\), we can rearrange the equation:
\[ -x = 1 + \frac{2}{3} \]

### Step 3: Find a common denominator
To add \(1\) and \(\frac{2}{3}\), we need to express \(1\) as a fraction with the same denominator. The number \(1\) can be written as \(\frac{3}{3}\):
\[ -x = \frac{3}{3} + \frac{2}{3} \]

### Step 4: Add the fractions
Now, we can add the two fractions:
\[ -x = \frac{3 + 2}{3} = \frac{5}{3} \]

### Step 5: Solve for \(x\)
To find \(x\), we multiply both sides by \(-1\):
\[ x = -\frac{5}{3} \]

### Conclusion
Thus, the number that should be subtracted from \(-\frac{2}{3}\) to get \(1\) is:
\[ -\frac{5}{3} \]

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