Notesale: Turn your study into money

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Fractions
fractions, or fractional number, is used to represent a part of a whole
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The denominator tells you the number of equal parts into which something is divided
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Thus, if the fraction
is of a pie, the denominator 5 tells you that the pie has been divided into five equal parts, of
which 3 (numerator) are in the fraction
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” In other words,
from the whole pie
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(See the figure below
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Example 1

Add the following
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2
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Example 2

Subtract the following
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2
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Multiplying fractions
To multiply fractions, simply multiply the numerators and then multiply the denominators
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Example 3

Multiply
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Because whole numbers
can also be written as fractions
worked by changing 3 to

, and so forth, the problem

would be


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To reduce, find a number that divides evenly into
one numerator and one denominator
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Thus,

Remember, you may only do early reducing when multiplyingfractions
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Example 4

Reduce early where possible and then multiply
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2
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Then
multiply
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Change the answer, if in improper fraction form, back to a mixed number and reduce if
necessary
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Dividing fractions
To divide fractions, invert (turn upside down) the second fraction (the one “divided by”) and
multiply
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Example 6

Divide
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Dividing complex fractions
Sometimes a division of fractions problem may appear in the following form (these are
called complex fractions)
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Consider the line separating the two fractions to mean “divided by
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Dividing mixed numbers
To divide mixed numbers,first change them to improper fractions
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Example 8

Divide
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