Adding Fractions to Solve an Applied Problem
The diagram in FIGURE 1appears in the book Woodworker’s 39 Sure-Fire Projects.
Find the height of the bookcase/desk to the top of the writing surface.
EXAMPLE 8
SECTION 1.1 Fractions 9
NOW TRY
EXERCISE 8
A board is ft long. If it
must be divided into four
pieces of equal length for
shelves, how long must each
piece be?
(^10 12)
NOW TRY ANSWER
- 2 58 ft
4
9
Cut 3 leg sections
from ready-made
turned leg.
"
"
9 "
4 "
(^3) "
4 1 2 1 2 1 2 1 2
(^3) "
4
(^3) "
4
Writing
Surface
FIGURE 1
26
17
4
4
2
4
+ 4 =
1
2
3
4
3
4
9
2
4
9 =
1
2
3
4
3
4
9
2
4
9 =
1
2
4
2
4
4 =
1
2
3
4
3
4
We must add
these measures.
( means inches.)–
Since The height is in. NOW TRY
OBJECTIVE 6 Interpret data in a circle graph. In a circle graph,or pie chart,
a circle is used to indicate the total of all the data categories represented. The circle
is divided into sectors, or wedges, whose sizes show the relative magnitudes of the
categories. The sum of all the fractional parts must be 1 (for 1 whole circle).
Using a Circle Graph to Interpret Information
Recently there were about 970 million Internet users worldwide. The circle graph in
FIGURE 2shows the fractions of these users living in various regions of the world.
EXAMPLE 9
(^174) = 4 14 , 26 174 = 26 + 4 14 = 30 41. 30 41
Because is an
improper fraction,
this is notthe final
answer.
17
4
Think: means 17^174 ,4.
North
America
23
(^7100)
20
Europe
Asia
3
10
Other
3
25
Source: http://www.internetworldstats.com
Worldwide Internet Users
By Region
FIGURE 2
Use Method 2 from
Example 6(b).
The common
denominator is 4.