17/18-1/6

To compute \( \frac{17}{18} - \frac{1}{6} \), we first need a common denominator. The least common multiple (LCM) of 18 and 6 is 18. Now, we can express \( \frac{1}{6} \) with a denominator of 18: \[ \frac{1}{6} = \frac{1 \times 3}{6 \times 3} = \frac{3}{18} \] Now we can rewrite the subtraction: \[ \frac{17}{18} - \frac{3}{18} = \frac{17 - 3}{18} = \frac{14}{18} \] Now, simplify \( \frac{14}{18} \): \[ \frac{14}{18} = \frac{14 \div 2}{18 \div 2} = \frac{7}{9} \] Thus, the answer is: \[ \frac{7}{9} \]