Find `(3)/((-5))xx(15)/(27)`

Answer

To solve the expression \(\frac{3}{-5} \times \frac{15}{27}\), we will follow these steps:

### Step 1: Write the expression
The expression we need to evaluate is:
\[ \frac{3}{-5} \times \frac{15}{27} \]

### Step 2: Multiply the numerators and the denominators
We can multiply the numerators together and the denominators together:
\[ \frac{3 \times 15}{-5 \times 27} \]

### Step 3: Calculate the products
Now, we calculate the products:
- The numerator: \(3 \times 15 = 45\)
- The denominator: \(-5 \times 27 = -135\)

So, we have:
\[ \frac{45}{-135} \]

### Step 4: Simplify the fraction
Next, we simplify the fraction \(\frac{45}{-135}\). We can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 45:
\[ \frac{45 \div 45}{-135 \div 45} = \frac{1}{-3} \]

### Step 5: Write the final answer
Thus, the final answer is:
\[ -\frac{1}{3} \]