Answer:
n = 5, 6, 7
Step-by-step explanation:
Change the fractions into fractions with a denominator of 16
Multiply numerator/denominator by 4
[tex]\frac{1}{4}[/tex] = [tex]\frac{4(1)}{4(4)}[/tex] = [tex]\frac{4}{16}[/tex]
Multiply the numerator/denominator by 8
[tex]\frac{1}{2}[/tex] = [tex]\frac{8(1)}{8(2)}[/tex] = [tex]\frac{8}{16}[/tex]
Thus [tex]\frac{n}{16}[/tex] is between [tex]\frac{4}{16}[/tex] and [tex]\frac{8}{16}[/tex]
Meaning it can be any of
[tex]\frac{5}{16}[/tex], [tex]\frac{6}{16}[/tex], [tex]\frac{7}{16}[/tex] with n = 5, 6, 7
