Find the product :
`(3)/(11) xx (2)/(5)`

Answer

To find the product of the rational numbers \(\frac{3}{11}\) and \(\frac{2}{5}\), we follow these steps:

### Step 1: Write down the fractions
We have:
\[ \frac{3}{11} \text{ and } \frac{2}{5} \]

### Step 2: Multiply the numerators
We multiply the numerators of the two fractions:
\[ 3 \times 2 = 6 \]

### Step 3: Multiply the denominators
Next, we multiply the denominators of the two fractions:
\[ 11 \times 5 = 55 \]

### Step 4: Write the product as a new fraction
Now, we combine the results from steps 2 and 3 to form a new fraction:
\[ \frac{6}{55} \]

### Step 5: Check for simplification
We check if the fraction \(\frac{6}{55}\) can be simplified. The numerator 6 and the denominator 55 have no common factors other than 1, so the fraction is already in its simplest form.

### Final Answer
Thus, the product of \(\frac{3}{11}\) and \(\frac{2}{5}\) is:
\[ \frac{6}{55} \]

---