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Equivalent Fractions Worksheet - Page 15

Equivalent Fractions Worksheet
  • Page 15
 141.  
Which of the following fractions is in its simplest form?
a.
7 7
b.
9 3
c.
5 9
d.
5 10


Solution:

A fraction is in simplest form when the greatest common factor of the numerator and the denominator is 1.

Among the choices, the fraction 5 / 9 is in its simplest form as the GCF of the numerator and the denominator is 1.


Correct answer : (3)
 142.  
Which of the following fractions is not in its simplest form?
a.
6 4
b.
3 4
c.
3 7
d.
5 3


Solution:

A fraction is in simplest form when the greatest common factor of the numerator and the denominator is 1.

Among the choices, the fraction 6 / 4 can be still simplified into 3 / 2.

The fractions in all the other choices are already in their simplest form.

So, the fraction 6 / 4 is not in the simplified form among the choices.


Correct answer : (1)
 143.  
Which of the following fractions is in its simplest form?
a.
3 6
b.
2 4
c.
1 7
d.
6 4


Solution:

A fraction is in simplest form when the greatest common factor of the numerator and the denominator is 1.

Among the choices, the fraction 1 / 7 is in its simplest form as the GCF of the numerator and the denominator is 1.

The fractions in all the other choices can be further simplified.


Correct answer : (3)
 144.  
Find the simplest form of the fraction. 24 32
a.
1 4
b.
4 5
c.
1 3
d.
3 4


Solution:

A fraction is in simplest form when the greatest common factor of the numerator and the denominator is 1.

2432 = 2 × 2 × 2 × 332× 2 × 2 × 3D=2 × 2 × 2 × 2 × 2
[Write the factors of 24 and 32.]

= 34
[Divide out the common factors.]

The fraction 3 / 4 is in the simplest form. So, the simplest form of the fraction 24 / 32 is 3 / 4.


Correct answer : (4)
 145.  
Pick the simplest form of the fraction. 14 35
a.
2 5
b.
1 2
c.
1 5
d.
2 6


Solution:

A fraction is in simplest form when the greatest common factor of the numerator and the denominator is 1.

1435 = 2 × 735× 7D=5 × 7
[Write the factors of 14 and 35.]

= 25
[Divide out the common factor, 7.]

The fraction 2 / 5 is in the simplest form.

So, the simplest form of the fraction 14 / 35 is 2 / 5.


Correct answer : (1)
 146.  
Which of the following fractions is in its simplest form?
a.
9 3
b.
3 11
c.
6 2
d.
12 8


Solution:

A fraction is in simplest form when the greatest common factor of the numerator and the denominator is 1.

Among the choices, the fraction 3 / 11 is in its simplest form as the GCF of the numerator and the denominator is 1.

The fractions in all the other choices can be further simplified.


Correct answer : (2)
 147.  
Which of the following fractions is not in its simplest form?
a.
2 3
b.
1 3
c.
8 12
d.
1 12


Solution:

A fraction is in simplest form when the greatest common factor of the numerator and the denominator is 1.

Among the choices, the fraction 8 / 12 can be still simplified into 2 / 3.

The fractions in all the other choices are already in their simplest form.


Correct answer : (3)
 148.  
Find the value of b if b3 = 11 7.
a.
43 8
b.
33 7
c.
33 8
d.
43 7


Solution:

b / 3 = 11 / 7
[Original expression.]

b / 3 = 8 / 7
[Convert the mixed number into improper fractions.]

b = 3 × 8 / 7
[Multiply each side by 3.]

b = (3×8) / (1×7)
[Group the numerators and denominators.]

b = 24 / 7
[Simplify.]

b = 33 / 7
[Convert the improper fraction into mixed number.]


Correct answer : (2)

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