Basic Mathematics for College Students

(Nandana) #1

306 Chapter 3 Summary and Review


Write each improper fraction as a mixed number or a whole
number.















Write each mixed number as an improper fraction.















Multiply or divide and simplify, if possible.





















85. 86. 1


5


16


 1


7


9


 2


2


3


a 2

3


4


b

2

5


2


3


a 7

1


5


 11 b

1


5


a

7


10


b

8  3


1


5


 6 a 6

2


3


b

 3


1


2


 3


2


3


1


2


5


 1


1


2


1


99


100


3


11


14


 2


1


5


9


3


8


14


6


51


3





47


12


16


5



  1. PHOTOGRAPHY Each leg of a camera tripod can
    be extended to become times its original length.
    If a leg is originally inches long, how long will it
    become when it is completely extended?

  2. PET DOORS Find the area of the opening
    provided by the rectangular-shaped pet door
    shown below.

  3. PRINTING It takes a color copier minutes to
    print a movie poster. How many posters can be
    printed in 90 minutes?

  4. STORM DAMAGE A truck can haul tons
    of trash in one load. How many loads would it
    take to haul away tons from a hurricane
    cleanup site?


(^67 12)
(^7 12)
(^2 14)
12 in.
7 in.^1 – 4
(^8 34)
(^5 12)
SECTION 3.6 Adding and Subtracting Mixed Numbers
To add (or subtract) mixed numbers,we can
change each to an improper fraction and use
the method of Section 3.4.
DEFINITIONS AND CONCEPTS EXAMPLES
Add:
Write and as mixed numbers.
To build and so that their denominators
are 10, multiply both by a form of 1.
To write the improper fraction as a
mixed number, divide 51 by 10.
51
 5 1 10
10
Add the numerators and write the sum
 over the common denominator 10.


51


10


Multiply the numerators.
 Multiply the denominators.

35


10





16


10


8
5

7
^72
2




5


5





8


5





2


2


(^3 3 211 35)


1


2


 1


3


5





7


2





8


5


3


1


2


 1


3


5

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