Answer:
[tex]2\frac{13}{22}[/tex]
Step-by-step explanation:
[tex]=\frac{19}{4}\div \frac{11}{6}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]
[tex]=\frac{19}{4}\times \frac{6}{11}[/tex]
[tex]=\frac{19}{2}\times \frac{3}{11}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]=\frac{19\times \:3}{2\times \:11}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:19\times \:3=57[/tex]
[tex]=\frac{57}{2\times \:11}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:2\times \:11=22[/tex]
[tex]=\frac{57}{22}[/tex]
[tex]=2\frac{13}{22}[/tex]
