Answer:
[tex]\frac{124}{175}[/tex] vials
Step-by-step explanation:
You have [tex]4\frac{3}{7}[/tex] = [tex]\frac{31}{7}[/tex] grams of a substance.
You want to divide it into vials of [tex]6\frac{1}{4}[/tex] = [tex]\frac{25}{4}[/tex] grams each.
Number of vials you can fill is: [tex]\frac{31}{7}[/tex] ÷ [tex]\frac{25}{4}[/tex] = [tex]\frac{31}{7}[/tex] × [tex]\frac{4}{25}[/tex] = [tex]\frac{124}{175}[/tex] vials