Respuesta :
dividing by a fraction is the same as multiplying by its reciprocal
example
[tex]\frac{1}{2} \div \frac{3}{4} [/tex]
the reciprocal of 3/4 is 4/3
[tex]\frac{1}{2} \div \frac{3}{4}=\frac{1}{2} \times \frac{4}{3} = \frac{4}{6}[/tex]
hence for your problem
[tex]\frac{33}{16} \div \frac{11}{12} = \frac{33}{16}\times \frac{12}{11} = \frac{33 \times 12}{ 16 \times 11}=\frac{9}{4}[/tex]
example
[tex]\frac{1}{2} \div \frac{3}{4} [/tex]
the reciprocal of 3/4 is 4/3
[tex]\frac{1}{2} \div \frac{3}{4}=\frac{1}{2} \times \frac{4}{3} = \frac{4}{6}[/tex]
hence for your problem
[tex]\frac{33}{16} \div \frac{11}{12} = \frac{33}{16}\times \frac{12}{11} = \frac{33 \times 12}{ 16 \times 11}=\frac{9}{4}[/tex]