Louisiana Louisiana Mathematics

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Crescent City Connection in New Orleans, Louisiana
STUDENT NAME
Table of Contents
Relating Fractions and Decimals (4)..................................... 4
Ordering Numbers (6).............................................................. 8
Adding and Subtracting Fractions (9)................................. 12
Factors (2, 3). .......................................................................... 16
Prime Factorization (1).......................................................... 20
Ratios (13)............................................................................... 24
Proportions (13)...................................................................... 28
Writing Expressions (15). ...................................................... 32
Real-World Equations (15)..................................................... 36
Solving Equations (17)........................................................... 40
Input-Output Tables (37). ...................................................... 44
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Circles (26).............................................................................. 48
Coordinate Geometry (28)..................................................... 52
Mean (32). ............................................................................... 56
Median (32)............................................................................. 60
Acknowledgments ............................................................... 64
4
LA
At the beginning of each lesson, you will see a box with the shape of
Louisiana and a Grade-Level Expectation code in it. This code tells
you what is being covered in the lesson.
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4
LA
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
5 items. 2 are circles and 3 are triangles. Each item
is ​ 15 ​ of the set. The circles represent ​ 25 ​ of the set.


The triangles represent ​ 35 ​ of the set.

In 2007, the Louisiana State
University football team won
12 of its 14 games, which can
12
be shown as 14
​ ​,   or 67​  ​. 


A decimal is another way to represent part of a
whole. To write a fraction as a decimal, divide the
numerator by the denominator.
On a bookshelf, ​ 34 ​ of the books are mysteries.

What decimal is equal to 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 is equal to the fraction of the
books that are mysteries is 0.75.
BUILD A BRIDGE 1
What decimal is equal to
7
the fraction ​ 10
  ​?
 

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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 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
 ​ mile.
25

When you work with fraction and decimal problems, 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

shows the fraction of Michael’s homework that is
not complete?
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First, find the fraction of Michael’s homework that
BUILD A BRIDGE 3
What decimal shows
the fraction of Michael’s
homework that is
complete?
is not complete. 12 ​ 58 ​ 5 ​ 38 ​ 
 
Divide the numerator by the denominator.
Now, convert 38​ ​  to a decimal.

0.375
 
8​ 3.000 ​
2 2 4 60
2 56
40
2 40
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 shows the

fraction of the free throws Amara made? 6 A store sells 0.55 of its supplies. What fraction of its supplies did the store sell?
For Numbers 7–10, 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 shows the amount of

orders shipped overseas? 2 Maria spends 0.15 of her paycheck on clothes. What fraction is equal to
this amount? 24
3 Jackson answered ​ 30
  ​of the questions on his quiz correctly. What decimal

shows the number of questions he answered correctly? For Numbers 4–9, 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. 11 During a 2008 football game between Louisiana State University and Auburn
University, 6 touchdowns were scored in all. LSU scored 3 of those touchdowns,
or ​ 36 ​ of the total touchdowns in the game. What is the equivalent decimal?

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