You have 4 3/7 grams of a substance and want to divide it into vials of 6 1/4 grams each. Estimate how many vials you can fill.

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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