PHARMACEUTICAL MATH I

PHRA 1209
Fractions

Problems

 Syllabus

There are four categories of fractions:

Fractions have two components:

numerator
denominator

example of a fraction:

3
5

Proper Fractions

A proper fraction is one in which the numerator is smaller than the denominator, making the number smaller than 1.

example of a proper fraction:

3
5

Improper Fractions:

An improper fraction is one in which the numerator is greater than the denominator, making the number greater than 1.

example of an improper fraction:

5
2

Mixed Fractions:

A mixed fraction contains both a whole number and a fraction.

example of a mixed fraction:

Complex Fractions

A complex fraction contains a fraction in its numerator as well as its denominator.

example of a complex fraction:

Mathematical Operations on Fractions

Fractions can be added, subtracted, multiplied, divided, and reduced.

Addition of Fractions

Fractions can be added together to obtain a new fraction.

If both fractions have the same denominator, add the two numerators together and keep the denominator as is.

If both fractions have the different denominators, 

multiple the numerator and denominator of the first fraction by the denominator of the second fraction:

then multiple the numerator and denominator of the second fraction by the denominator of the first fraction:

then add the two numerators together and leave the new denominator as is:

Subtraction of Fractions

One fraction can be subtracted from another to obtain a new fraction.

Do the same procedure as in addition except subtract the numerators.

Multiplication of Fractions

Fractions can be multiplied by multiplying the numerators together then multiplying the denominators together and reducing to the lowest terms if necessary.

Division of Fractions

Fractions can be divided by inverting the fraction after the division sign (or below the divide line)

Next, simply multiple the fractions together