(17/18 - 5/6)•18

To solve \((\frac{17}{18} - \frac{5}{6}) \cdot 18\), you need to first simplify \(\frac{17}{18} - \frac{5}{6}\).

1. Find a common denominator for the fractions \(\frac{17}{18}\) and \(\frac{5}{6}\). The common denominator between 18 and 6 is 18.

2. Convert \(\frac{5}{6}\) to an equivalent fraction with a denominator of 18: \[ \frac{5}{6} = \frac{5 \times 3}{6 \times 3} = \frac{15}{18} \]

3. Now subtract the fractions: \[ \frac{17}{18} - \frac{15}{18} = \frac{17 - 15}{18} = \frac{2}{18} \]

4. Simplify \(\frac{2}{18}\): \[ \frac{2}{18} = \frac{1}{9} \]

5. Now multiply \(\frac{1}{9}\) by 18: \[ \frac{1}{9} \cdot 18 = \frac{18}{9} = 2 \]

So, \((\frac{17}{18} - \frac{5}{6}) \cdot 18 = 2\).