Given:
[tex]-4\frac{1}{2}\text{ }\div\text{ }\frac{1}{4}[/tex]First Step:
Convert the mixed fraction on the left to an improper fraction
[tex]-\frac{9}{2}\text{ }\div\text{ }\frac{1}{4}[/tex]Next Step:
Flip the fraction on the right, then change the division symbol to multiplication
[tex]-\frac{9}{2}\text{ }\ast\text{ }\frac{4}{1}[/tex]Thus, we have:
[tex]-\frac{9}{2}\text{ }\ast\text{ }\frac{4}{1}\text{ = -}\frac{36}{2}\text{ = -18}[/tex]ANSWER:
[tex]-18[/tex]