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Introduction to Fractions Test
About Introduction to Fractions:

In our everyday life we are bombarded with fractions. Whenever we open a pizza box and share among family and friends we each get a part of a whole amount. Let’s suppose there is a pizza split into four equal slices, if you and three friends each get one slice of pizza, then each person gets one-fourth of the pizza.

Test Objectives:

•Demonstrate the ability to identify the numerator and denominator in a fraction

•Demonstrate the ability to write a fraction that describes the image given

•Demonstrate the ability to identify a proper fraction, improper fraction, or mixed number

Introduction to Fractions Test:




#1:


Instructions: Identify the numerator and denominator in each.


a)


3
7

b)


 4
15

c)


12
11

d)


9
8

e)


2
3

f)


24
 5

g)


4
3

h)


3
4

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#2:


Instructions: Write each division problem using a fraction, then perform the division.


a) 81 ÷ 9


b) 72 ÷ 8


c) 54 ÷ 6


d) 300 ÷ 10


e) 180 ÷ 60


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#3:


Instructions: Write the fractions that describe the shaded part and non-shaded part of each image.


a)


circle with 4 equal parts. 1 part is shaded.

b)


rectangle with 8 equal parts. 7 parts are shaded

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#4:


Instructions: Write the fractions that describe the shaded part and non-shaded part of each image.


a)


rectangle with 3 equal parts. 3 parts are shaded

b)


triangle with 2 equal parts. 1 part is shaded

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#5:


Instructions: Identify each as a proper fraction, improper fraction, or mixed number.


a)


17
18

b)


12
31

c)


55
 6

d)


4
9

e)


8
3

f)


1  1
17

g)


6 5
7

h)


18
18

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Written Solutions:




#1:


Solution:


a) 3 - numerator, 7 - denominator


b) 4 - numerator, 15 - denominator


c) 12 - numerator, 11 - denominator


d) 9 - numerator, 8 - denominator


e) 2 - numerator, 3 - denominator


f) 24 - numerator, 5 - denominator


g) 4 - numerator, 3 - denominator


h) 3 - numerator, 4 - denominator


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#2:


Solution:


a)


81 ÷ 9 =  81  = 9
 9

b)


72 ÷ 8 =  72  = 9
 8

c)


54 ÷ 6 =  54  = 9
 6

d)


300 ÷ 10 =  300  = 30
 10

e)


180 ÷ 60 =  180  = 3
 60


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#3:


Solution:


a) shaded


1
4

a) non-shaded


3
4

b) shaded


7
8

b) non-shaded


1
8

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#4:


Solution:


a) shaded


3
3

a) non-shaded


0
3

b) shaded


1
2

b) non-shaded


1
2

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#5:


Solution:


a) Proper Fraction


b) Proper Fraction


c) Improper Fraction


d) Proper Fraction


e) Improper Fraction


f) Mixed Number


g) Mixed Number


h) Improper Fraction


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