CONVERTING FRACTIONS TO DECIMALS WORKSHEET

Covert the the following fractions to decimal :

Problem 1 : 

7/25

Problem 2 : 

17/5

Problem 3 : 

3/8

Problem 4 : 

13/8

Problem 5 :

3/20

Problem 6 :

7/10

Problem 7 :

3/50

Problem 8 :

 1/2

Problem 9 :

 3/4

Problem 10 :

2/3

Detailed Answer Key

Problem 1 : 

7/25

Solution : 

To convert the given fraction into decimal, first we have to check whether the denominator of the fraction is convertible to 10 or 100 using multiplication.  

In the given fraction, the denominator is 25 which is convertible to 100 using multiplication by 4

So, we have

Problem 2 : 

Covert the fraction into decimal :

17/5

Solution : 

In the given fraction, the denominator is 5 which is convertible to 10 using multiplication by 2

So, we have

Problem 3 : 

Covert the fraction into decimal :

3/8

Solution : 

In the given fraction, the denominator is 8 which is not convertible to 10 or 100 using multiplication, we can convert the given fraction into decimal using long division.

Problem 4 : 

Covert the fraction into decimal :

13/8

Solution : 

In the given fraction, the denominator is 8 which is not convertible to 10 or 100 using multiplication, we can convert the given fraction into decimal using long division.

Problem 5 :

Covert the fraction into decimal :

3/20

Solution : 

In the given fraction, the denominator is 20 which is convertible to 100 using multiplication by 5.

So, we have 

3/20  =  (3 ⋅ 5) / (20 ⋅ 5)

=  15/100

=  0.15

Problem 6 :

Covert the fraction into decimal :

7/10

Solution : 

In the given fraction, the denominator is 10. 

So, we have 

7/10 = 0.7 

Problem 7 :

Covert the fraction into decimal :

3/50

Solution : 

In the given fraction, the denominator is 50 which is convertible to 100 using multiplication by 2. 

So, we have 

3/50  =  (3 ⋅ 2) / (50 ⋅ 2)

=  6/100

=  0.06

Problem 8 :

Covert the fraction into decimal :

 1/2

Solution : 

In the given fraction, the denominator is 2 which is convertible to 10 using multiplication by 5. 

So, we have 

1/2  =  (1 ⋅ 5) / (2 ⋅ 5)

=  5/10

=  0.5

Problem 9 :

Covert the fraction into decimal :

 3/4

Solution : 

In the given fraction, the denominator is 4 which is convertible to 100 using multiplication by 25. 

So, we have 

3/4  =  (3 ⋅ 25) / (4 ⋅ 25)

=  75/100

=  0.75

Problem 10 :

Covert the fraction into decimal :

2/3

Solution : 

In the given fraction, the denominator is 3 which is not convertible to 10 or 100 using multiplication.  

Now, we have to get the decimal form of the fraction 2/3 using long division method as explained above. 

When we do so, we get

2/3  =  0.66666..........

≈  0.67 

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