Convert Decimal to Lowest Fractional form : Solved Examples

Decimal Point	Place Value of digits in decimals	Expanded Form of Decimal	Read Decimals	Decimal Places
Decimal to Fraction	Decimal to Mixed Fraction	Decimal to Lowest Fractional form	Decimal into Percentage	Like Decimals
Unlike Decimals	Difference Like & Unlike Decimals	Comparing or Ordering Decimals	Ascending Order of Decimals	Descending Order of Decimals
Multiplication of Decimals	Division of Decimals

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: Fraction = 35 100 Now to convert the fraction into lowest form, follow below steps: Find HCF of numerator and denominator of fraction Fraction = 35 100 HCF of 35 and 100 = 5 Step 5: Divide both numerator and denominator by HCF and we get: Fraction = 35 ÷ 5 100 ÷ 5 Solve the above division expression and we get: Fraction = 7 20 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: Fraction = 125 1000 Now to convert the fraction into lowest form, follow below steps: Find HCF of numerator and denominator of fraction Fraction = 125 1000 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: Fraction = 1 8 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: Fraction = 1525 100 Now to convert the fraction into lowest form, follow below steps: Find HCF of numerator and denominator of fraction Fraction = 1525 100 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: Fraction = 61 4 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: Fraction = 204 100 Now to convert the fraction into lowest form, follow below steps: Find HCF of numerator and denominator of fraction Fraction = 204 100 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: Fraction = 51 25 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: Fraction = 472 100 Now to convert the fraction into lowest form, follow below steps: Find HCF of numerator and denominator of fraction Fraction = 472 100 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: Fraction = 118 25 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