A vial contains 20 mL of medicine. If each dose is 1/8 of the vial, how many mL is each dose? Express your answer as a decimal.

Respuesta :

2.5 mL each dose would be the correct answer

2.5 mL

Further explanation

Given:

  • A vial contains 20 mL of medicine.
  • Each dose is ¹/₈ of the vial.

Question:

How many mL is each dose? Express your answer as a decimal.

The Process:

Let us prepare a model for a vial of medicine. This model consists of 8 parts.

[tex]\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot} = 20 \ mL[/tex]

[tex]\boxed{\cdot} = one \ dose \ or \ \frac{1}{8} \ of \ vial[/tex]

Let us determine how many mL in each dose in a way that is ¹/₈ multiplied by 20 mL.

[tex]\boxed{ \ = \frac{1}{8} \times 20 \ }[/tex]

[tex]\boxed{ \ = \frac{20}{8} \ }[/tex]

Both the numerator and denominator are divided by 4.

[tex]\boxed{ \ = \frac{5}{2} \ }[/tex]

Both the numerator and denominator are multiplied by 5. We have to express the answer as a decimal.

[tex]\boxed{ \ = \frac{25}{10} \ }[/tex]

Thus, each dose is  [tex]\boxed{\boxed{ \ 2.5 \ mL \ }}[/tex]

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Let's look once again at the model of a vial of medicine.

[tex]\boxed{2.5 \ mL}\boxed{2.5 \ mL}\boxed{2.5 \ mL}\boxed{2.5 \ mL}\boxed{2.5 \ mL}\boxed{2.5 \ mL}\boxed{2.5 \ mL}\boxed{2.5 \ mL} = 20 \ mL[/tex]

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