Read the scenario below and calculate the total number of complete IV bags the unit can pr… — Armed Services Vocational Aptitude Battery (ASVAB)

Read the scenario below and calculate the total number of complete IV bags the unit can prepare. Fill in the blank with the correct numerical value.

Cevap:A field medical unit has a stockpile of

33 \frac{1}{3}

liters of a specialized saline solution. If each intravenous (IV) drip bag requires exactly

\frac{5}{9}

of a liter of the solution, the unit can prepare a total of 【60】 complete IV bags.

Cevap

The unit needs to distribute the total volume of saline solution into smaller, equal-sized portions. This is an application of division. By converting the total volume into an improper fraction (

\frac{100}{3}

) and multiplying it by the reciprocal of the portion size (

\frac{9}{5}

), we determine that exactly 60 bags can be prepared.

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Convert the mixed number

33 \frac{1}{3}

to an improper fraction.

\frac{100}{3}

Improper fractions are required to perform multiplication or division with mixed numbers.

Set up the division expression to find how many

\frac{5}{9}

-liter bags can be made from

\frac{100}{3}

liters of solution.

\frac{100}{3} \div \frac{5}{9}

Dividing the total volume by the volume required per individual bag yields the total count of complete bags.

Multiply the total volume by the reciprocal of the volume per bag.

\frac{100}{3} \times \frac{9}{5} = 60

Dividing by a fraction is mathematically equivalent to multiplying by its reciprocal. Simplifying cross-terms (

100 \div 5 = 20

and

9 \div 3 = 3

) results in

20 \times 3 = 60

Anahtar Kavram

Dividing a mixed number by a proper fraction to determine a quantity of equal parts.

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