CONVERTING FRACTIONS TO DECIMALS

To convert a fraction to a decimal, check whether the denominator of the fraction is convertible to 10 or 100 using multiplication.  

If it is convertible to 10 or 100 using multiplication, you can convert the fraction to decimal as explained below. 

In case, the denominator is not convertible to 10 or 100 using multiplication, then we can convert the fraction into decimal using long division as shown below. 

Practice Problems

Covert the following fractions to decimals :

Problem 1 :

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 2 :

7/10

Solution : 

In the given fraction, the denominator is 10. 

So, we have 

7/10 = 0.7 

Problem 3 :

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 4 :

 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 5 :

 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 6 :

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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