Find
`(-6)/(13)- ((-7)/(15))`

Answer

To solve the expression \(-\frac{6}{13} - \left(-\frac{7}{15}\right)\), we can follow these steps:

### Step 1: Simplify the Expression
We start with the expression:
\[ -\frac{6}{13} - \left(-\frac{7}{15}\right) \]

Since we have a negative sign in front of \(-\frac{7}{15}\), we can change the double negative into a positive:
\[ -\frac{6}{13} + \frac{7}{15} \]

### Step 2: Find the LCM of the Denominators
Next, we need to find the least common multiple (LCM) of the denominators 13 and 15 to add the fractions.

The prime factors are:
- 13 is a prime number.
- 15 can be factored into \(3 \times 5\).

The LCM is calculated as:
\[ \text{LCM}(13, 15) = 13 \times 15 = 195 \]

### Step 3: Convert Each Fraction
Now we convert each fraction to have the common denominator of 195.

For \(-\frac{6}{13}\):
\[ -\frac{6}{13} = -\frac{6 \times 15}{13 \times 15} = -\frac{90}{195} \]

For \(\frac{7}{15}\):
\[ \frac{7}{15} = \frac{7 \times 13}{15 \times 13} = \frac{91}{195} \]

### Step 4: Combine the Fractions
Now we can combine the two fractions:
\[ -\frac{90}{195} + \frac{91}{195} = \frac{-90 + 91}{195} = \frac{1}{195} \]

### Final Answer
Thus, the final answer is:
\[ \frac{1}{195} \]

---