Convert Decimal to Mixed Fraction : 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 Mixed fraction A) 3.75 B) 1.90 C) 18.18 D) 6.5 E) 1.625 A) 3.75 Solution: Follow the steps of conversion: Step 1: Numerator of fraction is equal to decimal (without the decimal point) and we get: Numerator = 375 Step 2 : Find number of Decimal Place in the given decimal Decimals Places = two (i.e. digit 7 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 place, so we will write two zeros 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 = 375 100 Now we will convert this fraction into lowest form Step 4: Find HCF of numerator and denominator of fraction (calculated above) Fraction = 375 100 HCF of 375 and 100 = 25 Step 5: Divide both numerator and denominator by HCF and we get: Fraction = 375 ÷ 25 100 ÷ 25 Solve the above division expression and we get: Fraction = 15 4 Now to convert above calculated fraction into mixed fraction, follow the below steps: Step 6: Divide Numerator by denominator of above calculated fraction i.e. 15 4 Step 7: Quotient will be Whole Number Part of Mixed Fraction. so, Quotient = Whole number Part = 3 (calculated above) Step 8: Remainder will be now be the Numerator of Mixed Fraction. so, Remainder = Numerator = 3 (calculated above) Step 9: Denominator remains same, as calculated in step 5. So, denominator = 4 and we get: Mixed Fraction = 3 3 4 Solution: Follow the steps of conversion: Step 1: Numerator of fraction is equal to decimal (without the decimal point) and we get: Numerator = 1.90 Step 2 : Find number of Decimal Place in the given decimal Decimals Places = two (i.e. digit 9 and 0) 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 zeros 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 = 190 100 Now we will convert this fraction into lowest form Step 4: Find HCF of numerator and denominator of fraction (calculated above) Fraction = 190 100 HCF of 190 and 100 = 10 Step 5: Divide both numerator and denominator by HCF and we get: Fraction = 190 ÷ 10 100 ÷ 10 Solve the above division expression and we get: Fraction = 19 10 Now to convert above calculated fraction into mixed fraction, follow the below steps: Step 6: Divide Numerator by denominator of above calculated fraction i.e. 19 10 Step 7: Quotient will be Whole Number Part of Mixed Fraction. so, Quotient = Whole number Part = 1 (calculated above) Step 8: Remainder will be now be the Numerator of Mixed Fraction. so, Remainder = Numerator = 9 (calculated above) Step 9: Denominator remains same, as calculated in step 5. So, denominator = 10 and we get: Mixed Fraction = 1 9 10 C) 18.18 Solution: Follow the steps of conversion: Step 1: Numerator of fraction is equal to decimal (without the decimal point) and we get: Numerator = 18.18 Step 2 : Find number of Decimal Place in the given decimal Decimals Places = two (i.e. digit 1 and 8) 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 zeros 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 = 1818 100 Now we will convert this fraction into lowest form Step 4: Find HCF of numerator and denominator of fraction (calculated above) Fraction = 1818 100 HCF of 1818 and 100 = 2 Step 5: Divide both numerator and denominator by HCF and we get: Fraction = 1818 ÷ 2 100 ÷ 2 Solve the above division expression and we get: Fraction = 909 50 Now to convert above calculated fraction into mixed fraction, follow the below steps: Step 6: Divide Numerator by denominator of above calculated fraction i.e. 909 50 Step 7: Quotient will be Whole Number Part of Mixed Fraction. so, Quotient = Whole number Part = 18 (calculated above) Step 8: Remainder will be now be the Numerator of Mixed Fraction. so, Remainder = Numerator = 9 (calculated above) Step 9: Denominator remains same, as calculated in step 5. So, denominator = 50 and we get: Mixed Fraction = 18 9 50 D) 6.5 Solution: Follow the steps of conversion: Step 1: Numerator of fraction is equal to decimal (without the decimal point) and we get: Numerator = 65 Step 2 : Find number of Decimal Place in the given decimal Decimals Places = one only (i.e. digit 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 is only one decimal place, so we will write one zero next to digit 1 and we get: Denominator = 10 Now, we know that: Fraction = Numerator Denominator Put the values of numerator and denominator from step 1 & Step 3 and we get: Fraction = 65 10 Now we will convert this fraction into lowest form Step 4: Find HCF of numerator and denominator of fraction (calculated above) Fraction = 65 10 HCF of 65 and 10 = 5 Step 5: Divide both numerator and denominator by HCF and we get: Fraction = 65 ÷ 5 10 ÷ 5 Solve the above division expression and we get: Fraction = 13 2 Now to convert above calculated fraction into mixed fraction, follow the below steps: Step 6: Divide Numerator by denominator of above calculated fraction i.e. 13 2 Step 7: Quotient will be Whole Number Part of Mixed Fraction. so, Quotient = Whole number Part = 6 (calculated above) Step 8: Remainder will be now be the Numerator of Mixed Fraction. so, Remainder = Numerator = 1 (calculated above) Step 9: Denominator remains same, as calculated in step 5. So, denominator = 2 and we get: Mixed Fraction = 6 1 2 E) 1.625 Solution: Follow the steps of conversion: Step 1: Numerator of fraction is equal to decimal (without the decimal point) and we get: Numerator = 1625 Step 2 : Find number of Decimal Place in the given decimal Decimals Places = three (i.e. digit 6, 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 zeros 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 = 1625 1000 Now we will convert this fraction into lowest form Step 4: Find HCF of numerator and denominator of fraction (calculated above) Fraction = 1625 1000 HCF of 1625 and 1000 = 125 Step 5: Divide both numerator and denominator by HCF and we get: Fraction = 1625 ÷ 125 1000 ÷ 125 Solve the above division expression and we get: Fraction = 13 8 Now to convert above calculated fraction into mixed fraction, follow the below steps: Step 6: Divide Numerator by denominator of above calculated fraction i.e. 13 8 Step 7: Quotient will be Whole Number Part of Mixed Fraction. so, Quotient = Whole number Part = 1 (calculated above) Step 8: Remainder will be now be the Numerator of Mixed Fraction. so, Remainder = Numerator = 5 (calculated above) Step 9: Denominator remains same, as calculated in step 5. So, denominator = 8 and we get: Mixed Fraction = 1 5 8 Related Question Examples Convert the following decimals into Mixed fraction A) 3.75 B) 1.90 C) 18.18 D) 6.5 E) 1.625