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Equivalent Fractions Worksheet - Page 12

Equivalent Fractions Worksheet
  • Page 12
 111.  
Can the two fractions 1 3 and 3 9 be called equivalent fractions?
a.
Yes
b.
No


Solution:

Fractions that represent the same amount are called equivalent fractions.


Represent 1 / 3 by using one strip and represent 3 / 9 by using three 1 / 9 strips and line up the 1 / 9 strip below the 1 / 3 strip as below.

As the fractions 1 / 3 and 3 / 9 represent the same amount, 1 / 3 and 3 / 9 are equivalent fractions.


Correct answer : (1)
 112.  
Are the fractions represented by the figures equivalent?


a.
Yes
b.
No


Solution:

The fraction represented by the first circle is 1 / 2 and the fraction represented by the second circle is 4 / 8 .

Fractions that represent same amount are called equivalent fractions.

Multiplying the numerator and the denominator of 1 / 2 by 4 gives 4 / 8 , the fractions 1 / 2 and 4 / 8 are equivalent fractions.

So, the fractions represented by the figures are equivalent.


Correct answer : (1)
 113.  
Are the pair of fractions 2 4 and 1 2 equivalent ?
a.
Yes
b.
No


Solution:

Fractions that represent the same amount are called equivalent fractions.


Represent 2 / 4 by using two 1 / 4 strips and represent 1 / 2 by using one 1 / 2 strip and line up one 1 / 2 strip below the two 1 / 4 strips as below.

From the above figure, 2 / 4 and 1 / 2 represent the same amount.

So, the fractions 2 / 4 and 1 / 2 are equivalent fractions.


Correct answer : (1)
 114.  
The figure shows 1 2 and 1 6 fraction strips. How many 1 6 strips are needed to match one 1 2 strip?

a.
3
b.
2
c.
4
d.
6


Solution:

Three 1 / 6 fraction strips are needed to make one 1 / 2 strip.
[Six 1 / 6 strips make one whole strip, so, 3 such strips can make one 1 / 2 strip.]


The figure below will help us visualise how the three 1 / 6 strips can be arranged to make one 1 / 2 strip.


Correct answer : (1)
 115.  
Identify the equivalent fraction for the point on the number line.


a.
4 5
b.
1 5
c.
2 5
d.
6 10


Solution:

From the number line, the point represented is 4 / 10.

Fractions that represent the same amount are called equivalent fractions.

4 / 10 = 4 ÷ 210 ÷ 2 = 2 / 5
[Divide both the numerator and the denominator by the common factor 2.]

So, the fraction equivalent to the point given on the number line is 2 / 5.


Correct answer : (3)
 116.  
Choose an equivalent fraction for the point on the number line.


a.
3 5
b.
4 10
c.
4 5
d.
6 5


Solution:

From the number line, the point represented is 6 / 10.

Fractions that represent the same amount are called equivalent fractions.

6 / 10 = 6÷2 / 10÷2 = 3 / 5
[Divide both the numerator and the denominator by the common factor 2.]

So, the fraction equivalent to the point given on the number line is 3 / 5.


Correct answer : (1)
 117.  
Find an equivalent fraction for the point on the number line.


a.
3 6
b.
5 7
c.
2 3
d.
3 5


Solution:

From the number line, the point represented is 6 / 10.

Fractions that represent the same amount are called equivalent fractions.

6 / 10 = 6÷2 / 10÷2 = 3 / 5
[Divide both the numerator and the denominator by the common factor 2.]

So, the fraction equivalent to the point given on the number line is 3 / 5.


Correct answer : (4)
 118.  
Find an equivalent fraction for the point marked on the number line.


a.
4 10
b.
5 15
c.
4 5
d.
none of these


Solution:

From the number line, the point represented is 8 / 10.

Fractions that represent the same amount are called equivalent fractions.

8 / 10 = 8÷2 / 10÷2 = 4 / 5
[Divide both the numerator and the denominator by the common factor 2.]

So, the fraction equivalent to the point given on the number line is 4 / 5.


Correct answer : (3)
 119.  
Find an equivalent fraction for the point marked on the number line.


a.
1 3
b.
1 2
c.
1 15
d.
None of these


Solution:

From the number line, the point represented is 5 / 10.

Fractions that represent the same amount are called equivalent fractions.

5 / 10 = 5÷5 / 10÷5 = 1 / 2
[Divide both the numerator and the denominator by the common factor 5.]

So, the fraction equivalent to the point given on the number line is 1 / 2.


Correct answer : (2)
 120.  
Find an equivalent fraction for the point marked on the number line.


a.
1 10
b.
1 5
c.
1 2
d.
None of these


Solution:

From the number line, the point represented is 2 / 10.

Fractions that represent the same amount are called equivalent fractions.

2 / 10 = 2÷2 / 10÷2 = 1 / 5
[Divide both the numerator and the denominator by the common factor 2.]

So, the fraction equivalent to the point given on the number line is 1 / 5.


Correct answer : (2)

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