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STUDENT NAME
Table of Contents
Relating Fractions and Decimals (TEKS: 1.6.1.B)....................... 4
Ordering Numbers (TEKS: 1.6.1.A). .............................................. 8
Adding and Subtracting Fractions (TEKS: 1.6.2.A)................... 12
Factors (TEKS: 1.6.1.E)................................................................ 16
Prime Factorization (TEKS: 1.6.1.D)............................................ 20
Ratios (TEKS: 2.6.3.A).................................................................. 24
Proportions (TEKS: 2.6.3.C). ....................................................... 28
Solving Problems (TEKS: 6.6.11.B).............................................. 32
Problem-Solving Strategies (TEKS: 6.6.11.C)............................. 36
Real-World Equations (TEKS: 2.6.5.A)....................................... 40
Input-Output Tables (TEKS: 2.6.4.A)........................................... 44
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Circles (TEKS: 3.6.6.C)................................................................. 48
Measuring Angles (TEKS: 4.6.8.C).............................................. 52
Circle Graphs (TEKS: 5.6.10.C).................................................... 56
Probability (TEKS: 5.6.9.B). ......................................................... 60
Acknowledgments................................................................ 64
1.6.1.B
TX
At the beginning of each lesson, you will see a box with the shape of
Texas and a TAKS Objective/TEKS Student Expectation code in it.
This code tells you what is being covered in the lesson.
3
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1.6.1.B
TX
Relating Fractions
and Decimals
A fraction is a number used to represent part of a
whole or part of a set. In the set below, there are five
items. Two are circles and three are triangles. Each
item is
​ 15 ​ of

the whole set. The circles represent
​ 52 ​ of

the whole set. The triangles represent ​ 35 ​ of the whole

set.
According to the U.S. Census
Bureau, in 2006 the fraction
of the population of Texas
that was under the age of 18
was about ​ 7   ​.
25

A decimal is another way to write a fraction. Divide
the numerator of a fraction by its denominator to find
the equivalent decimal.
On a bookshelf, ​ 34 ​ of the books are mysteries.

What decimal represents the fraction of the books
that are mysteries?
Divide the numerator by the denominator. Keep
dividing until the remainder is 0 or a repeating
pattern is shown.
0.75
 
4​ 3.00 ​
2 2 8 20
2 20
0
The decimal that represents the fraction of the
books that are mysteries is 0.75.
BUILD A BRIDGE 1
What decimal represents
7
the fraction ​ 10
  ​?
 

TX6 © 2009 Buckle Down – Options Publishing. COPYING IS FORBIDDEN BY LAW.
Example 1
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Use place value to convert a decimal to a fraction and write it in simplest form.
Example 2
Tia ran 0.96 of a mile. What fraction of a mile did
she run?
Use place value to convert the decimal to a
fraction.
BUILD A BRIDGE 2
In a fish tank, 0.2 of the
fish are striped. What
fraction of the fish are
striped?
96
0.96 5 ninety-six hundredths 5 ​ 100
  ​ 

Write the fraction in simplest form.
96
96 4 4
​ 100
  ​ 5 ​ 
 
 ​ 
5 ​ 24
 ​ 
100 4 4
25
 

Tia ran ​ 24
 ​ of a mile.
25

Be sure to read the question carefully to determine which part of the whole to find.
Example 3
Michael’s homework is ​ 58 ​ complete. What decimal

represents the fraction of Michael’s homework
that is not complete?
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The fraction of Michael’s homework that is not
BUILD A BRIDGE 3
What decimal represents
the fraction of Michael’s
homework that is
complete?
complete is, 12 ​ 58 ​ 5 ​ 38 ​. 
 
Divide the numerator by the denominator.
0.375
 
8​ 3.000 ​
2 2 4 60
2 56
60
2 56
0
0.375 of Michael’s homework is not complete.
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Guided Practice
3
1 What is a fraction? In the fraction ​ 10
  ​,  what does the 3 represent?

2 How are decimals and fractions related?
3 How do you convert 0.4 to a fraction?
1
4 Explain how to find an equivalent decimal for ​ 20
   ​.

9
5 Amara made ​ 10
  ​ of the free throws she attempted. What decimal represents the

fraction of the free throws Amara made? 6 A store sells 0.55 of its inventory. What fraction of its inventory did the store sell?
For Numbers 7 through 10, find the equivalent form of each decimal or
fraction.
21
7​ 25
 ​ 5

9​ 18 ​ 5

8 0.7 5
10 0.16 5
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Practice
2
1 A company ships ​ 10
  ​ of its orders overseas. What decimal represents the amount

of business shipped overseas? 2 Maria spends 0.15 of her paycheck on clothes. What fraction represents
this amount? 24
3 Jackson answered ​ 30
  ​questions correctly on his quiz. What decimal represents

the number of questions he answered correctly? For Numbers 4 through 9, find the equivalent form of each decimal or fraction.
1
4​ 10
  ​ 5

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7 0.12 5
5 0.45 5
8 0.6 5
17
6​ 20
  ​5

9​ 33
  ​5
50

10 Write the fraction that represents the shaded portion of the rectangle below.
Then, find its equivalent decimal form. 7
  ​ of the population in Texas was under the age
11 On page 4, you read that about ​ 25

7
of 18 in 2006. What decimal is equivalent to ​ 25
  ?
  
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