Basic Mathematics for College Students

(Nandana) #1

  1. Classify each fraction as a proper fraction or an
    improper fraction.


a. b.

c. d.


  1. Remove the common factors of the numerator and
    denominator to simplify the fraction:

  2. What common factor (other than 1) do the numerator
    and the denominator of the fraction have?


Fill in the blank.



  1. Multiplication property of 1: The product of any
    fraction and 1 is that.

  2. Multiplying fractions: To multiply two fractions,
    multiply the and multiply the
    denominators.

  3. a. Consider the following solution:


To build an equivalent fraction for with a
denominator of 12, it by a factor equal
to 1 in the form of.

b. Consider the following solution:

To simplify the fraction a factor equal
to 1 of the form.


  1. Write the fraction in two other ways.

  2. Write each integer as a fraction.


a. 8 b. –25

Complete each solution.



  1. Build an equivalent fraction for with a denominator
    of 18.





3





 3


6 


1


6





1


6





3


1


6


7


 8


NOTATION


15
27 ,




5


9


15


27





3


1
 5
3
1

 9


2
3




8


12


2


3





2


3





10
15

2  3  3  5


2  3  5  7


9


9


71


100


1


3


37


24



  1. Simplify:


Identify the numerator and denominator of each fraction.
See Example 1.















Write a fraction to describe what part of the figure is shaded.
Write a fraction to describe what part of the figure is not shaded.
See Example 2.



























Simplify, if possible.See Example 3.


  1. a. b.


c. d.


  1. a. b.


c. d.


  1. a. b.


c. d.

75


1


33


33


0


50


5


0


83


0


0


1


14


14


25


1


1


0


0


12


8


8


4


1


29


21


17


10


7


8


4


5


GUIDED PRACTICE





3





1
 3 

1

2
1

 2  2 


1

18


24





2   3


2  2  2 


18


24


3.1 An Introduction to Fractions 217
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