2-2/3

To simplify the expression \(2 - \frac{2}{3}\), you'll first want to convert the whole number \(2\) into a fraction that has the same denominator as \(\frac{2}{3}\).

1. Convert \(2\) into a fraction: \[ 2 = \frac{6}{3} \] (since \(2 \times 3 = 6\)).

2. Now subtract \(\frac{2}{3}\) from \(\frac{6}{3}\): \[ \frac{6}{3} - \frac{2}{3} = \frac{6 - 2}{3} = \frac{4}{3}. \]

So, \(2 - \frac{2}{3} = \frac{4}{3}\).

In mixed number form, \(\frac{4}{3}\) can also be expressed as: \[ 1 \frac{1}{3}. \]

Thus, the result of \(2 - \frac{2}{3}\) is \(\frac{4}{3}\) or \(1 \frac{1}{3}\).