Find the product :
`(3)/(-5) xx (-5)/(3)`

Answer

To find the product of the rational numbers \(\frac{3}{-5} \times \frac{-5}{3}\), we can follow these steps:

### Step 1: Write down the expression
We start with the expression:
\[ \frac{3}{-5} \times \frac{-5}{3} \]

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

### Step 3: Simplify the expression
Now we simplify the expression:
- The numerator becomes \(3 \times (-5) = -15\).
- The denominator becomes \(-5 \times 3 = -15\).

So we have:
\[ \frac{-15}{-15} \]

### Step 4: Cancel the negative signs
Since both the numerator and the denominator are negative, we can cancel the negative signs:
\[ \frac{-15}{-15} = \frac{15}{15} \]

### Step 5: Simplify further
Now, we simplify \(\frac{15}{15}\):
\[ \frac{15}{15} = 1 \]

### Final Answer
Thus, the product is:
\[ \boxed{1} \]

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