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Fraction in Simplest Form Worksheet

Fraction in Simplest Form Worksheet
  • Page 1
 1.  
Express the fraction 12 16 in its simplest form.
a.
6 8
b.
1 7
c.
3 4
d.
3 8


Solution:

12 / 16 = 12÷2 / 16÷2 = 6 / 8
[Simplify the fraction by dividing both the numerator and the denominator by 2.]

As 6 / 8 is not the simplest form of the fraction, simplify the fraction further.

6 / 8 = 6÷2 / 8÷2 = 3 / 4
[Simplify the fraction by dividing both the numerator and the denominator by 2.]

So, the simplest form of the fraction 12 / 16 is 3 / 4.


Correct answer : (3)
 2.  
Simplify the fraction 2 6 .
a.
1 4
b.
1 3
c.
1 2
d.
3 4


Solution:

As 2 and 6 have common factors other than 1, simplify the fraction by dividing both the numerator and the denominator by a common factor.

2 / 6= 2÷26÷2 = 1 / 3
[Simplify the fraction by dividing 2 and 6 by the common factor 2.]

So, the simplified form of the fraction 2 / 6 is 1 / 3 .


Correct answer : (2)
 3.  
Is the fraction 2 10 in its simplest form or not?
a.
No
b.
Yes


Solution:

A fraction is in simplified form, if the numerator and the denominator have no common factors other than 1.

As 2 and 10 have common factors other than 1, the fraction 2 / 10 is not in simplified form.


Correct answer : (1)
 4.  
Is the fraction 2 5 in its simplest form or not?
a.
Yes
b.
No


Solution:

A fraction is in simplified form, if the numerator and the denominator have no common factors other than 1.

As 2 and 5 have no common factors other than 1, the fraction 2 / 5 is in simplified form.


Correct answer : (1)
 5.  
Is the fraction 3 6 in its simplest form? If not, write it in its simplest form.
a.
Yes
b.
No, 1 2
c.
No, 1 3
d.
No, 2 4


Solution:

A fraction is in simplified form, if the numerator and the denominator have no common factors other than 1.

As 3 and 6 have common factors other than 1, the fraction 3 / 6 is not in simplified form.

3 / 6 = 3÷3 / 6÷3 = 1 / 2
[Simplify the fraction by dividing both the numerator and the denominator by 3.]

So, the simplified form of the fraction 3 / 6 is 1 / 2.


Correct answer : (2)
 6.  
What is the simplest form of the fraction 27 36?
a.
1
b.
3 5
c.
3 4
d.
none of these


Solution:

27 / 36 = 27÷3 / 36÷3 = 9 / 12
[Simplify the fraction by dividing both the numerator and the denominator by a common factor 3.]

As 9 / 12 is not the simplest form of the fraction, simplify the fraction further.

9 / 12 = 9÷3 / 12÷3 = 3 / 4
[Simplify the fraction by dividing both the numerator and the denominator by a common factor 3.]

So, the simplest form of the fraction 27 / 36 is 3 / 4.


Correct answer : (3)
 7.  
Write the simplified form of the fraction 2 4.
a.
1 3
b.
2 4
c.
1 5
d.
1 2


Solution:

As 2 and 4 have common factors other than 1, simplify the fraction by dividing both the numerator and the denominator by a common factor.

2 / 4 = 2÷2 / 4÷2 = 1 / 2
[Simplify the fraction by dividing 2 and 4 by 2.]

So, the simplified form of the fraction 2 / 4 is 1 / 2.


Correct answer : (4)
 8.  
Is the fraction 4 6 in its simplest form or not?
a.
Yes
b.
No


Solution:

A fraction is in simplified form, if the numerator and the denominator have no common factors other than 1.

As 4 and 6 have common factors other than 1, the fraction 4 / 6 is not in simplified form.


Correct answer : (2)
 9.  
Is the fraction 3 5 in its simplest form or not?
a.
No
b.
Yes


Solution:

A fraction is in simplified form, if the numerator and the denominator have no common factors other than 1.

As 3 and 5 have no other common factors other than 1, the fraction 3 / 5 is in simplified form.


Correct answer : (2)
 10.  
A pizza was cut and distributed among 4 persons. Each person got 3 12 fraction of pieces. Write the fraction in its simplest form.
a.
3 4
b.
1 4
c.
3 5
d.
1 3


Solution:

As 3 and 12 have common factors other than 1, simplify the fraction by dividing both the numerator and the denominator by a common factor.

3 / 12 = 3÷3 / 12÷3= 1 / 4
[Simplify the fraction by dividing 3 and 12 by 3.]

So, the simplified form of the fraction 3 / 12 is 1 / 4 .


Correct answer : (2)

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