17/18-1/6

To simplify the expression \( \frac{17}{18} - \frac{1}{6} \), you need to find a common denominator.

1. The least common multiple (LCM) of 18 and 6 is 18.
2. Rewrite \( \frac{1}{6} \) with the denominator of 18:

\[ \frac{1}{6} = \frac{1 \times 3}{6 \times 3} = \frac{3}{18} \]

3. Now, you can subtract the fractions:

\[ \frac{17}{18} - \frac{3}{18} = \frac{17 - 3}{18} = \frac{14}{18} \]

4. Finally, simplify \( \frac{14}{18} \):

\[ \frac{14 \div 2}{18 \div 2} = \frac{7}{9} \]

So, \( \frac{17}{18} - \frac{1}{6} = \frac{7}{9} \).