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Multiply total number of ml (20 ml) by the fraction size (1/8).

= 20 * 1/8
multiply numerators (top)
= (20*1)/8
= 20/8
convert to mixed number
= 2 4/8
reduce fraction by 2
= 2 1/2 ml or 2.5 ml

ANSWER: Each dose contains 2.5ml

Hope this helps! :)

If each dose is ¹/₈ of the vial, then volume of each dose is 2.5 mL.

Further explanation

Order of Operations in Mathematics follow this following rule :

  1. Parentheses
  2. Exponents
  3. Multiplication and Division
  4. Addition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem !

Given:

A vial contains 20 mL of medicine

[tex]\texttt{A Vial Volume} = 20 ~ \texttt{mL}[/tex]

If each dose is ¹/₈ of the vial , then

[tex]\texttt{Volume of Each Dose} = \frac{1}{8} \times \texttt{A Vial Volume}[/tex]

[tex]\texttt{Volume of Each Dose} = \frac{1}{8} \times 20 ~ \texttt{mL}[/tex]

[tex]\texttt{Volume of Each Dose} = \frac{1 \times 20}{8} ~ \texttt{mL}[/tex]

[tex]\texttt{Volume of Each Dose} = \frac{20}{8} ~ \texttt{mL}[/tex]

[tex]\texttt{Volume of Each Dose} = \frac{20 \div 4}{8 \div 4} ~ \texttt{mL}[/tex]

[tex]\texttt{Volume of Each Dose} = \frac{5}{2} ~ \texttt{mL}[/tex]

[tex]\texttt{Volume of Each Dose} = \boxed {2.5 ~ \texttt{mL}}[/tex]

Conclusion :

If each dose is 1/8 of the vial , then volume of each dose is 2.5 mL.

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Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Percentage

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent , cookies , chocolate , chip , paper , fourth , pieces

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