Convert the following decimals into fraction of lowest form.
A) 0.35
B) 0.125
C) 15.25
D) 2.04
E) 4.72 
A) 0.35
Solution: Follow the steps of conversion:
Step 1: Numerator of fraction is equal to decimal (without the decimal point) and we get: Numerator = 35
Step 2 : Find number of Decimal Place in the given decimal  Decimals Places = two (i.e. digits 3 and 5)
Step 3: Denominator of fraction is equal to 1 followed by as many number of zero as there are decimal place.
As calculated in step 2, there are two decimal places, so we will write two zero's next to digit 1 and we get: Denominator = 100
Now, we know that:
Fraction =  Numerator Denominator 
Put the values of numerator and denominator from step 1 & Step 3 and we get:
Now to convert the fraction into lowest form, follow below steps:
Find HCF of numerator and denominator of fraction
HCF of 35 and 100 = 5
Step 5: Divide both numerator and denominator by HCF and we get:
Solve the above division expression and we get:
B) 0.125
Solution: Follow the steps of conversion:
Step 1: Numerator of fraction is equal to decimal (without the decimal point) and we get: Numerator = 125
Step 2 : Find number of Decimal Place in the given decimal  Decimals Places = three (i.e. digits 1, 2 and 5)
Step 3: Denominator of fraction is equal to 1 followed by as many number of zero as there are decimal place.
As calculated in step 2, there are three decimal places, so we will write three zero's next to digit 1 and we get: Denominator = 1000
Now, we know that:
Fraction =  Numerator Denominator 
Put the values of numerator and denominator from step 1 & Step 3 and we get:
Now to convert the fraction into lowest form, follow below steps:
Find HCF of numerator and denominator of fraction
HCF of 125 and 1000 =125
Step 5: Divide both numerator and denominator by HCF and we get:
Fraction =  125 ÷ 125 1000 ÷ 125 

Solve the above division expression and we get:
C) 15.25
Follow the steps of conversion:
Step 1: Numerator of fraction is equal to decimal (without the decimal point) and we get: Numerator = 1525
Step 2 : Find number of Decimal Place in the given decimal  Decimals Places = two (i.e. digits 2 and 5)
Step 3: Denominator of fraction is equal to 1 followed by as many number of zero as there are decimal place.
As calculated in step 2, there are two decimal places, so we will write two zero's next to digit 1 and we get: Denominator = 100
Now, we know that:
Fraction =  Numerator Denominator 
Put the values of numerator and denominator from step 1 & Step 3 and we get:
Now to convert the fraction into lowest form, follow below steps:
Find HCF of numerator and denominator of fraction
HCF of 1525 and 100 = 25
Step 5: Divide both numerator and denominator by HCF and we get:
Fraction =  1525 ÷ 25 100 ÷ 25 

Solve the above division expression and we get:
D) 2.04
Follow the steps of conversion:
Step 1: Numerator of fraction is equal to decimal (without the decimal point) and we get: Numerator = 2.04
Step 2 : Find number of Decimal Place in the given decimal  Decimals Places = two (i.e. digits 0 and 4)
Step 3: Denominator of fraction is equal to 1 followed by as many number of zero as there are decimal place.
As calculated in step 2, there are two decimal places, so we will write two zero's next to digit 1 and we get: Denominator = 100
Now, we know that:
Fraction =  Numerator Denominator 
Put the values of numerator and denominator from step 1 & Step 3 and we get:
Now to convert the fraction into lowest form, follow below steps:
Find HCF of numerator and denominator of fraction
HCF of 204 and 100 = 4
Step 5: Divide both numerator and denominator by HCF and we get:
Fraction =  204 ÷ 4 100 ÷ 4 

Solve the above division expression and we get:
Solution: Follow the steps of conversion:
Step 1: Numerator of fraction is equal to decimal (without the decimal point) and we get: Numerator = 4.72
Step 2 : Find number of Decimal Place in the given decimal  Decimals Places = two (i.e. digits 7 and 2)
Step 3: Denominator of fraction is equal to 1 followed by as many number of zero as there are decimal place.
As calculated in step 2, there are two decimal places, so we will write two zero's next to digit 1 and we get: Denominator = 100
Now, we know that:
Fraction =  Numerator Denominator 
Put the values of numerator and denominator from step 1 & Step 3 and we get:
Now to convert the fraction into lowest form, follow below steps:
Find HCF of numerator and denominator of fraction
HCF of 472 and 100 = 4
Step 5: Divide both numerator and denominator by HCF and we get:
Fraction =  472 ÷ 4 100 ÷ 4 

Solve the above division expression and we get:

Related Question Examples
Convert the following decimals into fraction of lowest form.
A) 0.35
B) 0.125
C) 15.25
D) 2.04
E) 4.72 
