Answer:
[tex]-\frac{64}{33}\\\\-1\frac{31}{33}[/tex]
Step-by-step explanation:
[tex]-5\frac{1}{3}\div \:2\frac{3}{4}\\[/tex]
Convert mixed numbers to improper fractions
[tex]=-\frac{16}{3}\div \frac{11}{4}\\\\\mathrm{Apply\:the\:fraction\:rule}:\\\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\\\=-\frac{16}{3}\times \frac{4}{11}\\\\\mathrm{Multiply\:fractions}:\\\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}\\\\=-\frac{16\times \:4}{3\times \:11}\\\\=-\frac{64}{33}\\\\=-1\frac{31}{33}[/tex]
