To solve the expression \( \frac{45}{67} - \frac{34}{2} \), we first calculate each part.
Calculate \( \frac{34}{2} \): \[ \frac{34}{2} = 17 \]
Now substitute this back into the expression: \[ \frac{45}{67} - 17 \]
To subtract these, we need a common denominator. The denominator of the first fraction is 67, so we can express 17 in terms of a denominator of 67: \[ 17 = \frac{17 \times 67}{67} = \frac{1139}{67} \]
Now rewrite the expression: \[ \frac{45}{67} - \frac{1139}{67} \]
Combine the fractions: \[ \frac{45 - 1139}{67} = \frac{-1094}{67} \]
This fraction can be simplified only if both numbers have common factors, but 1094 and 67 do not share any.
Therefore, the final answer is: \[ \frac{-1094}{67} \]
If you wish to convert it to a mixed number: \[ -16 \frac{32}{67} \] So the final answer can be presented as: \[ \frac{-1094}{67} \quad \text{or} \quad -16 \frac{32}{67} \]