Divide:
a. `(7)/(9) div 14`

Answer

To solve the problem `(7)/(9) div 14`, we will follow these steps:

### Step-by-Step Solution:

1. **Write the Division as a Fraction**:
We can express the division of a fraction by a whole number as follows:
\[ \frac{7}{9} \div 14 = \frac{7}{9} \div \frac{14}{1} \]

2. **Change Division to Multiplication**:
To divide by a fraction, we multiply by its reciprocal. The reciprocal of \(\frac{14}{1}\) is \(\frac{1}{14}\). Thus, we can rewrite the expression:
\[ \frac{7}{9} \div \frac{14}{1} = \frac{7}{9} \times \frac{1}{14} \]

3. **Multiply the Fractions**:
Now, we multiply the numerators and the denominators:
\[ \frac{7 \times 1}{9 \times 14} = \frac{7}{126} \]

4. **Simplify the Fraction**:
We can simplify \(\frac{7}{126}\) by finding the greatest common divisor (GCD) of 7 and 126. The GCD is 7. So we divide both the numerator and the denominator by 7:
\[ \frac{7 \div 7}{126 \div 7} = \frac{1}{18} \]

5. **Final Answer**:
Therefore, the result of \(\frac{7}{9} \div 14\) is:
\[ \frac{1}{18} \]