To find the Least Common Denominator (LCD) for the fractions \(\frac{2}{3}\) and \(\frac{1}{18}\), we need to identify the denominators:
- The denominator of \(\frac{2}{3}\) is 3.
- The denominator of \(\frac{1}{18}\) is 18.
Now, we need to find the least common multiple (LCM) of these two denominators.
The multiples of 3 are:
- 3, 6, 9, 12, 15, 18, 21, 24, ...
The multiples of 18 are:
- 18, 36, 54, ...
The smallest common multiple in these two lists is 18.
Therefore, the Least Common Denominator (LCD) for \(4 \frac{2}{3}\) and \(7 \frac{1}{18}\) is 18.
The answer is (a) 18.