First, you would need to create an equation for this problem.
3 [tex] \frac{1}{2} [/tex] ÷ [tex] \frac{1}{4} [/tex]
Next, you would flip the second fraction and change it to multiplication.
3 [tex] \frac{1}{2} [/tex] × [tex] \frac{4}{1} [/tex]
Now, you would change the first fraction into an improper fraction and cross simplify the equation.
[tex] \frac{7}{2} [/tex] × [tex] \frac{4}{1} [/tex]
[tex] \frac{7}{1} [/tex] × [tex] \frac{2}{1} [/tex]
Finally, you would solve it.
[tex] \frac{7}{1} [/tex] × [tex] \frac{2}{1} [/tex] = [tex] \frac{14}{1} [/tex] = 14
3 [tex] \frac{1}{2} [/tex] ÷ [tex] \frac{1}{4} [/tex] = 14
I hope this helps!