Basic Mathematics for College Students

(Nandana) #1

  1. HEALTH STATISTICS The circle graph below
    shows the leading causes of death in the United
    States for 2006. For example, of all of the deaths
    that year were caused by heart disease. What
    fraction of all the deaths were caused by heart
    disease, cancer, or stroke, combined?


Source: National Center for Health Statistics


  1. MUSICAL NOTES The notes used in music have
    fractional values. Their names and the symbols used
    to represent them are shown in illustration (a). In
    common time, the values of the notes in each
    measure must add to 1. Is the measure in illustration
    (b) complete?

  2. TOOLS A mechanic likes to hang his wrenches
    above his tool bench in order of narrowest to widest.
    What is the proper order of the wrenches in the
    illustration?


(^1) –
4
in. ––^3
16
(^3) – in.
8
in. ––^5
32
in.
Half
note
Quarter
note
Eighth
note
Sixteenth
note
(a)
(b)
Heart
disease
(^13) ––
50
Cancer
––^6
25
Other
(^13) ––
50
Stroke
––^3
50
Flu
––^1
50
Accidents
––^1
20
Respiratory
diseases
––^1
20
Alzheimer’s
disease
–––^3
100
Diabetes
–––^3
100
13
50



  1. TIRE TREAD A mechanic measured the tire tread
    depth on each of the tires on a car and recorded
    them on the form shown below. (The letters LF stand
    for left front, RR stands for right rear,and so on.)
    a. Which tire has the most tread?
    b. Which tire has the least tread?

  2. HIKING The illustration below shows the length of
    each part of a three-part hike. Rank the lengths of
    the parts from longest to shortest.

  3. Explain why we cannot add or subtract the fractions
    and as they are written.

  4. To multiply fractions, must they have the same
    denominators? Explain why or why not. Give an
    example.


Perform each operation and simplify, if possible.


  1. a. b.


c. d.


  1. a. b.


c. d.

5


21





3


14


5


21





3


14


5


21





3


14


5


21





3


14


1


4





1


8


1


4





1


8


1


4





1


8


1


4





1


8


REVIEW


2
5

2
9

WRITING


A

B

C

D

(^3) –
4 mi
(^4) –
5
mi
(^5) –
8 mi
Measure of tire tread depth
LF
LR
RF
RR
1/4 in.
7/32 in.
5 /16 in.
21/64 in.
256 Chapter 3 Fractions and Mixed Numbers

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