Basic Mathematics for College Students

(Nandana) #1
Chapter 3 Summary and Review 303

Comparing fractions


If two fractions have the same denominator,
the fraction with the greater numerator is the
greater fraction.


If two fractions have different denominators,
express each of them as an equivalent fraction
that has the LCD for its denominator. Then
compare numerators.


Which fraction is larger: or?

because

Which fraction is larger: or?

Build each fraction to have a denominator that is the LCD, 12.

Since 98, it follows that  and therefore, .

2


3


3


4


8


12


9


12


3


4





3


4





3


3





9


12


2


3





2


3





4


4





8


12


3


4


2


3


11  7


11


18





7


18


7


18


11


18


Add or subtract and simplify, if possible.















  1. a. Add the fractions represented by the figures
    below.


b. Subtract the fractions represented by the figures
below.


  1. Fill in the blanks. Use the prime factorizations
    below to find the least common denominator for
    fractions with denominators of 45 and 30.





Add or subtract and simplify, if possible.




























1


3





1


4





1


5


 6 


13


6


17


20





4


15





19


18





5


12


3 


1


7


5


24





3


16





2


5





3


8


1


6





2


3


45  3  3  5


30  2  3  5


fLCD


+




3


5





3


5


7


8





3


8


3


4





1


4


2


7





3


7



  1. MACHINE SHOPS How much must be milled off
    the -inch-thick steel rod below so that the collar
    will slip over the end of it?

  2. POLLS A group of adults were asked to rate the
    transportation system in their community. The
    results are shown below in a circle graph. What
    fraction of the group responded by saying either
    excellent, good, or fair?

  3. TELEMARKETING In the first hour of work, a
    telemarketer made 2 sales out of 9 telephone calls.
    In the second hour, she made 3 sales out of 11 calls.
    During which hour was the rate of sales to calls
    better?

  4. CAMERAS When the shutter of a camera stays
    open longer than second, any movement of the
    camera will probably blur the picture. With this in
    mind, if a photographer is taking a picture of a
    fast-moving object, should she select a shutter speed
    of 601 or? 2501


1
125

Fair
––^3
10

No opinion
––^1
10

Excellent
––^1
20

Poor
––^3
20

Good

(^2) –
5
Steel rod
(^17) ––
32
in. (^3) –
4
in.
3
4
REVIEW EXERCISES

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