If `x=(1)/(3) and y=(6)/(7)` then `xy=(y)/(x)=`______.

Answer

To solve the problem where \( x = \frac{1}{3} \) and \( y = \frac{6}{7} \), we need to find the values of \( xy \) and \( \frac{y}{x} \).

### Step-by-step Solution:

1. **Calculate \( xy \)**:
\[ xy = x \times y = \frac{1}{3} \times \frac{6}{7} \]
To multiply two fractions, multiply the numerators together and the denominators together:
\[ xy = \frac{1 \times 6}{3 \times 7} = \frac{6}{21} \]
Now, simplify \( \frac{6}{21} \):
\[ \frac{6}{21} = \frac{2}{7} \quad \text{(dividing both numerator and denominator by 3)} \]

2. **Calculate \( \frac{y}{x} \)**:
\[ \frac{y}{x} = \frac{6/7}{1/3} \]
Dividing by a fraction is the same as multiplying by its reciprocal:
\[ \frac{y}{x} = \frac{6}{7} \times \frac{3}{1} = \frac{6 \times 3}{7 \times 1} = \frac{18}{7} \]

3. **Final Results**:
We have calculated:
\[ xy = \frac{2}{7} \quad \text{and} \quad \frac{y}{x} = \frac{18}{7} \]

### Summary:
Thus, the values are:
- \( xy = \frac{2}{7} \)
- \( \frac{y}{x} = \frac{18}{7} \)