Math
At Your Own Pace
Lesson 200
A self-instructional
learning program
Introducing
Fractions
Lesson 200
To the Student
In Lesson 200, Introducing Fractions, you will learn what a fraction is and how to
identify different types of fractions.
In this book, you will find numbered parts that are called “frames.” Within these
frames, you will be asked to fill in the blanks with information about fractions.
Write your answers on a separate piece of paper. Then look at the top of the next
page in the book to check your answers. The wording of your answer may vary
from the answer in the lesson. Be sure to write an answer for each blank in the
lesson.
If you do not understand how to use this book or need assistance with certain
frames, ask your instructor for help.
Now turn the page and begin.
1.
You use fractions every day, probably without even thinking about them.
For example, when you spend fifty cents, you are spending one-half (1/2)
of a dollar. Twenty-five cents is called a quarter because the word quarter
means 1/4 of something.
50¢ is one-half, ½, of a dollar:
=
1 dollar
=
1 dollar
25¢ is one-quarter, ¼, of a dollar:
2.
3.
This pizza has been cut into 8 equal slices. As long as
you have all 8 slices, you have a whole pizza. If you
have only 1 slice, you have a fraction of the pizza, that
is, 1 of 8 equal pieces.
The fraction is written like this:
=
or 1/8.
The 1 tells how many pieces of pizza you have. The line below the
1 means of. The 8 below the line tells the number of equal parts into
which the pizza was cut.
A.
B.
C.
D.
If you had 3 pieces of the pizza, how would you write the fraction?
_______
What if you had 5 pieces? _______
Suppose the pizza were sliced into 12 equal slices. How would you
write the fraction to show you had 5 slices? _______
7 slices (of a 12-piece pizza)? _______
1
Answers to page 1:
3.
A.
B.
C.
D.
Be sure the top and bottom numbers of your
fractions are correct.
4.
These figures have been divided into equal parts. Under each write the
correct fraction that tells how many of the equal parts are gray over how
many parts there are in each picture. The first one is done for you.
A.
5.
B.
__1/6__
C.
_______
D.
_______
Match the definitions in the column on the right with the words on the
left.
A. Bottom number of
a fraction _______
B. Top number of a
fraction _______
C. Fraction _______
6.
_______
1. The number of equal parts in a whole
2. Part (or parts) of a whole
3. Number of shaded sections of a whole, as in
#4, or the number of equal parts that are
being used or talked about
You can use fractions without knowing the names of the parts. It is easier,
though, to talk about them if you know the names.
In the fraction,
(sometimes written 1/10), the number 10 is the
denominator.
Remember, the number written below or to the right of the line is the
denominator.
2
Answers to page 2:
7.
4.
B.
C.
D.
5.
A. 1
B. 3
C. 2
Write the denominator in each of these fractions:
A.
_______
B.
_______
D.
_______
E.
_______
C.
_______
8.
What does the denominator tell you? _______
9.
The number written above the line in a fraction is called the numerator.
Write the numerator in each of these fractions:
A.
_______
B.
_______
D.
_______
E.
_______
C.
_______
10.
What number would be the denominator for a fraction of this
pizza? _______
11.
Suppose you eat 3 pieces of pizza. What is the 3 in the fraction called?
_______
3
Answers to page 3:
7.
8.
9.
10.
11.
A. 3
B. 8
C. 7
D. 11
the number of equal parts in a whole
A. 1
B. 3
C. 2
D. 9
8
the numerator
E. 4
E. 4
12.
Using the picture of the pizza from Frame 10, write the fraction, numerator
and denominator, to show 3 pieces of the whole pizza. _______
13.
What are the 7's in these fractions called? _______
14.
What are the numbers above the lines called? _______
15.
3
is a mixed number. It is called mixed because it mixes two kinds of
numbers, a whole number, 3, and a fraction,
16.
Is 8 a mixed number? _______
17.
Is a mixed number? _______
4
.
Answers to page 4:
12.
13. denominators
14. numerators
16. yes
17. no
18.
A mixed number has a whole number and a fraction. On your paper, write
down all of the mixed numbers. _______
A.
2
E.
I.
M.
19.
5
8
B.
8
4
F.
100
6
3
8
36
36
C.
3
1
G.
J.
4
4
K.
N.
2
3
O.
1
2
D.
11
4
3
5
H.
1 10
35
L.
is a proper fraction. In a proper fraction, the top number (numerator)
Is
a proper fraction? _______
Is the numerator smaller than the denominator? _______
21.
500
22
23
is smaller than the bottom number (denominator.)
20.
1
Is
a proper fraction? _______
Is the numerator smaller than the denominator? _______
5
Answers to page 5:
18.
20.
21.
22.
A. 2
C.
1
F. 3
H. 1
I. 100
M. 6
3
4
yes; yes
no; no
A proper fraction is one in which the numerator is smaller, or less than, the
denominator. On your paper, write down all of the proper fractions.
_______
A.
3
B.
2
5
C.
3
8
G.
E.
4
25
F.
I.
35
36
J.
23.
6
5
D.
H.
6
is an improper fraction. It is not proper for the numerator, 33, to
be larger than the denominator, 10.
24.
Look at this number: . The numerator is _______ (smaller/larger) than
the bottom number, the denominator.
Is
an improper fraction? _______
6
At Your Own Pace series
very basic understanding of the skill. In this way, when students move up
the academic ladder for more complex instruction, they have a found-
Reading At Your Own Pace
English At Your Own Pace
Math At Your Own Pace
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105
Pronouns
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110
Verbs
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115
Adjectives and Adverbs
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120
Possessives
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200
Sentence Recognition
A ____ B____
205
Introduction to Sentence Combining
A ____ B____
210
Combining Sentences
A ____ B____
A ____ B____
215
Introduction to Paragraphs
220
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225
Sentence Sequence
A ____ B____
300
Capitalization
A ____ B
B____
Pace
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Recognition
: Sentence
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Math At Yo
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Practice Tes
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Lesson 405
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Scoring Dire
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points. Pas
is worth 10
Each item
Review
Frames to
Skill Tested
Answer
1-10
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perimet
1. B
perimeter of
2. A
1-31
a polygon
1-4, 15-17
a square
perimeter of
3. D
4. D
5. B
6. A
7. C
perimeter of
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1-4, 11-14
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1-10
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1-10
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perimeter of
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1-4, 15-17
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8. B
perimeter of
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Math At Your Own Pace
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Subtracting Whole Numbers
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Adding Fractions
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Finding Averages
The Standard System of
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Perimeters
Solid Geometric Figures
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