Answer :

[tex]\sf 4 \frac{45}{100}^{(5}=4\frac{9}{20}= \frac{89}{20} \\ \\ 1\frac{1}{4}=^{5)} \frac{5}{4}= \frac{25}{20} \\ \\ \frac{89}{20}-\frac{25}{20}= \frac{64}{20}^{(4}=\boxed{\sf \frac{16}{5}}[/tex]