Basic Mathematics for College Students

(Nandana) #1

  1. Fill in the blanks.
    a. For the fraction , the is 6 and the
    is 7.
    b. Two fractions are if they represent
    the same number.
    c. A fraction is in form when the
    numerator and denominator have no common
    factors other than 1.
    d. To a fraction, we remove common
    factors of the numerator and denominator.


e. The of is.

f. A number, such as , is the sum of a
whole number and a proper fraction.

g. and are examples of

fractions.


  1. See the illustration below.
    a. What fractional part of the plant is above ground?
    b. What fractional part of the plant is below ground?

  2. Each region outlined in black represents one whole.
    Write an improper fraction and a mixed number to
    represent the shaded portion.

  3. Graph , , , and on a number line.


− 2 − 10123

7


6


 1


1


7





2


5


2


4


5


3


4





1


3


5


12





1


4


1


8


7


12


1169


5


4


4


5


6
7


  1. Are and equivalent?

  2. Express as an equivalent fraction with
    denominator 24.

  3. Simplify each fraction, if possible.


a. b.


  1. Simplify each fraction.


a. b.


  1. Add and simplify, if possible:

  2. Multiply and simplify, if possible:

  3. Divide and simplify, if possible:

  4. Subtract and simplify, if possible:

  5. Add and simplify, if possible:

  6. Multiply and simplify, if possible:

  7. Which fraction is larger: or?

  8. COFFEE DRINKERS Two-fifths of 100 adults
    surveyed said they started their morning with a cup of
    coffee. Of the 100, how many would this be?

  9. THE INTERNET The graph below shows the
    fraction of the total number of Internet searches that
    were made using various sites in January 2009. What
    fraction of the all the searches were done using
    Google, Yahoo, or Microsoft sites?


Source: Marketingcharts.com

Google Sites

Online Search Share
January 2009

(^16) ––
25
AOL
Sites
––^1
25
Other
––^1
50
Yahoo
Sites
(^1) –
5
Microsoft
Sites
––^1
10


9


10


8


9


9


10


a

4


15


ba

25


18


b




3


7


 2


11


12





11


30


4


3





2


9





3


4


a

1


5


b

3


16





7


16


72
180

27
36

9


0


0


15


7
8

5


15


1


3


311

CHAPTER 3 TEST

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