Answer:
[tex]=\frac{15}{32}[/tex]
Step-by-step explanation:
[tex]3\div \:6\frac{2}{5}[/tex]
[tex]=3\div \frac{32}{5}[/tex]
[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:3=\frac{3}{1}[/tex]
[tex]=\frac{3}{1}\div \frac{32}{5}[/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{3}{1}\times \frac{5}{32}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]=\frac{3\times \:5}{1\times \:32}[/tex]
[tex]\frac{15}{1\times \:32}[/tex]
[tex]=\frac{15}{32}[/tex]
~Lenvy~