CONVERTING FRACTIONS INTO DECIMALS WORKSHEET

Converting Fractions into Decimals Worksheet : 

Worksheet given in this section will be much useful for the students who would like to practice problems on converting fractions into decimals. 

Before look at the worksheet, if you would lie to learn, how to convert fractions into decimals, 

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Converting Fractions into Decimals Worksheet - Problems

Problem 1 : 

Covert the fraction into decimal :

7/25

Problem 2 : 

Covert the fraction into decimal :

17/5

Problem 3 : 

Covert the fraction into decimal :

3/8

Problem 4 : 

Covert the fraction into decimal :

13/8

Problem 5 :

Covert the fraction into decimal :

3/20

Problem 6 :

Covert the fraction into decimal :

7/10

Problem 7 :

Covert the fraction into decimal :

3/50

Problem 8 :

Covert the fraction into decimal :

 1/2

Problem 9 :

Covert the fraction into decimal :

 3/4

Problem 10 :

Covert the fraction into decimal :

2/3

Converting Fractions into Decimals Worksheet - Solutions

Problem 1 : 

Covert the fraction into decimal :

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)

3/20  =  15/100

3/20  =  0.15

Hence,  3/20 = 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)

3/50  =  6/100

3/50  =  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)

1/2  =  5/10

1/2  =  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)

3/4  =  75/100

3/4  =  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..........

2/3  ≈  0.67 

After having gone through the stuff given above, we hope that the students would have understood, how to convert fractions into decimals. 

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