To solve the expression \(2:3 - 3\), we first interpret the colon as a ratio, so:
- The expression \(2:3\) can also be written as a fraction, which is \(\frac{2}{3}\).
- Now, we need to compute \(\frac{2}{3} - 3\).
To subtract \(3\) from \(\frac{2}{3}\), we can express \(3\) as a fraction with the same denominator:
\[ 3 = \frac{3 \times 3}{3} = \frac{9}{3} \]
Now we can perform the subtraction:
\[ \frac{2}{3} - \frac{9}{3} = \frac{2 - 9}{3} = \frac{-7}{3} \]
So, the result of the expression \(2:3 - 3\) is \(\frac{-7}{3}\).