Fractions

CHAPTER 2


Fractions





Fractions may be used occasionally in the writing of a medication order or used by the pharmaceutical manufacturer on a drug label (usually includes the metric equivalent). According to Medication Errors, 2nd edition (2007), edited by Michael R. Cohen, president of the Institute for Safe Medication Practices (ISMP), “Occasionally using fractions instead of metric designation could help prevent errors. For example, the dosage embossed on 2.5 mg Coumadin tablets is expressed as ‘2½ mg’ to prevent confusion with 25 mg.”


Coumadin is an anticoagulant. An overdose of Coumadin (example: 25 mg instead of 2½ mg) can result in a serious adverse effect, such as a severe hemorrhage (Figure 2-1).


image
Figure 2-1 Coumadin label.

As you will see later in the text, some methods of solving dosage calculations rely on expressing relationships in a fraction format. Therefore proficiency with fractions can be beneficial in a variety of situations.


A fraction is a part of a whole number (Figure 2-2). It is a division of a whole into units or parts (Figure 2-3).






TYPES OF FRACTIONS


Proper Fraction: Numerator is less than the denominator, and the fraction has a value of less than 1.











Example:

518=(5×8)+18=418


image


Two or more fractions with different denominators can be compared by changing both fractions to fractions with the same denominator (Box 2-1). This is done by finding the lowest common denominator (LCD), or the lowest number evenly divisible by the denominators of the fractions being compared.




Example:

Which is larger, 34image or 45image?



Solution:

The lowest common denominator is 20, because it is the smallest number that can be divided by both denominators evenly. Change each fraction to the same terms by dividing the lowest common denominator by the denominator and multiplying that answer by the numerator. The answer obtained from this is the new numerator. The numerators are then placed over the lowest common denominator.




For the fraction 34:20÷4=5;5×3=15;therefore 34 becomes 1520.image


For the fraction 45:20÷5=4;4×4=16;therefore 45 becomes 1620.image


Therefore 45(1620)image is larger than 34(1520).image




Box 2-2 presents fundamental rules of fractions.



BOX 2-2   Fundamental Rules of Fractions


In working with fractions, there are some fundamental rules that we need to remember.




Examples:


12=1×(2)2×(2)=24=2×(25)4×(25)=50100,etc.50100=50÷(10)100÷(10)=510=5÷(5)10÷(5)=12,etc.


image


As shown in the examples, common fractions can be written in varied forms, provided that the numerator, divided by the denominator, always yields the same number (quotient). The particular form of a fraction that has the smallest possible whole number for its numerator and denominator is called the fraction in its lowest terms. In the example, therefore, 50/100, 5/10, or 2/4 is ½ in its lowest terms.








Feb 11, 2017 | Posted by in PHARMACY | Comments Off on Fractions

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