First, we make \(1 \frac{18}{30}\) into a improper fraction. \(1 \frac{18}{30}= \frac{48}{30}\). Now we subtract, \(\frac{48}{30}- \frac{25}{30}= \frac{23}{30}}\). Therefore, your answer is \(\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{ \frac{23}{30}}}}}}}}}}}}}}}}}\)