What should be subtracted from `(-3)/(5)` to get -2 ?

Options

A. `(-7)/(5)`
B. `(-13)/(5)`
C. `(13)/(5)`
D. `(7)/(5)`

Answer

To solve the question "What should be subtracted from \(-\frac{3}{5}\) to get -2?", we can follow these steps:

### Step 1: Set up the equation
Let \( x \) be the number that we need to subtract from \(-\frac{3}{5}\). According to the problem, we can set up the equation as follows:
\[ -\frac{3}{5} - x = -2 \]

### Step 2: Isolate \( x \)
To find \( x \), we need to isolate it on one side of the equation. We can do this by adding \( x \) to both sides and adding 2 to both sides:
\[ -\frac{3}{5} + 2 = x \]

### Step 3: Convert -2 to a fraction
To perform the addition, we need to express -2 as a fraction with a denominator of 5:
\[ -2 = -\frac{10}{5} \]

### Step 4: Add the fractions
Now we can add the two fractions:
\[ -\frac{3}{5} + (-\frac{10}{5}) = -\frac{3 + 10}{5} = -\frac{13}{5} \]

### Step 5: Solve for \( x \)
Now we have:
\[ x = -\frac{13}{5} \]

### Step 6: Conclusion
Thus, the number that should be subtracted from \(-\frac{3}{5}\) to get -2 is:
\[ x = \frac{13}{5} \]

### Summary of the Solution:
To get -2 from \(-\frac{3}{5}\), we need to subtract \(\frac{13}{5}\).

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