Find: `(2)/(15)-(7)/(15)`

Answer

To solve the problem \( \frac{2}{15} - \frac{7}{15} \), we can follow these steps:

### Step 1: Identify the denominators
Both fractions have the same denominator, which is 15.

### Step 2: Subtract the numerators
Since the denominators are the same, we can subtract the numerators directly:
\[ 2 - 7 = -5 \]

### Step 3: Write the result over the common denominator
Now, we place the result of the subtraction over the common denominator:
\[ \frac{-5}{15} \]

### Step 4: Simplify the fraction
To simplify \( \frac{-5}{15} \), we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 5:
\[ \frac{-5 \div 5}{15 \div 5} = \frac{-1}{3} \]

### Final Answer
Thus, the result of \( \frac{2}{15} - \frac{7}{15} \) is:
\[ \frac{-1}{3} \]

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