What should be subtracted from `(-5)/(7)` to get `-1` ?

Options

A. `(3)/(7)`
B. `(2)/(7)`
C. `(5)/(7)`
D. `(6)/(7)`

Answer

To solve the problem of what should be subtracted from \(-\frac{5}{7}\) to get \(-1\), we can follow these steps:

### Step-by-Step Solution:

1. **Set up the equation**:
We need to find a number \(x\) such that when it is subtracted from \(-\frac{5}{7}\), the result is \(-1\). This can be expressed as:
\[ -\frac{5}{7} - x = -1 \]

2. **Rearrange the equation**:
To isolate \(x\), we can add \(x\) to both sides and add \(1\) to both sides:
\[ -\frac{5}{7} + 1 = x \]

3. **Convert \(1\) to a fraction**:
To perform the addition, we need a common denominator. The number \(1\) can be expressed as \(\frac{7}{7}\):
\[ -\frac{5}{7} + \frac{7}{7} = x \]

4. **Perform the addition**:
Now, we can add the fractions:
\[ \frac{-5 + 7}{7} = x \]
Simplifying the numerator:
\[ \frac{2}{7} = x \]

5. **Conclusion**:
Therefore, the number that should be subtracted from \(-\frac{5}{7}\) to get \(-1\) is:
\[ x = \frac{2}{7} \]

### Final Answer:
Thus, the answer is:
\[ \text{The number is } \frac{2}{7}. \]