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Home >> Decimal >> Decimal to Mixed Fraction >>

Convert Decimal to Mixed Fraction

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

Before you understand; How to convert Decimal to Mixed fraction, You must know:

What are Decimal Places ?
What is Decimal Point ?
What are Fractions ?
What are Mixed Fractions ?
How to Calculate H.C.F. ?

Steps to convert Decimal to Mixed fraction


  • Step 1: Numerator of fraction is equal to decimal (without the decimal point)
  • Step 2: Find number of Decimal Place in the given decimal
  • Step 3: Denominator of fraction is equal to 1 followed by as many number of zero as there are decimal place.

    After Step 3, we will get a fraction, which will be further converted into lowest form, through following step:
  • Step 4: Find HCF of numerator and denominator of fraction
  • Step 5: Divide both numerator and denominator by HCF and we get fraction in lowest form

    After Step 5, we will get a lowest fraction, which will be further converted into mixed fraction, through following steps:
  • Step 6: Divide Numerator by denominator.
  • Step 7: Quotient will be Whole Number Part of Mixed Fraction.
  • Step 8: Remainder will be Numerator of Mixed Fraction.
  • Step 9: Denominator remains same, as calculated in step 5.

    NOTE: Decimals whose whole numbers is equal to zero; cannot be converted into mixed fractions e.g. 0.25, 0.123, 0.897 all such decimals cannot be converted into Mixed Fraction.




    Example : Convert 3.6 to Mixed Fraction.
    Solution: Follow the steps of conversion:

    Step 1: Numerator of fraction is equal to decimal (without the decimal point) and we get: Numerator = 36

    Step 2 : Find number of Decimal Place in the given decimal - Decimals Places = one (i.e. digit 6)

    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 = 36
    10


    Now we will convert this fraction into lowest form

    Step 4: Find HCF of numerator and denominator of fraction (calculated above)
    36
    10


    HCF of 36 and 10 = 2

    Step 5: Divide both numerator and denominator by HCF and we get:

    Fraction = 36 2
    10 2


    Solve the above division expression and we get:

    Fraction = 18
    5


    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.

    18
    5


    Step 7: Quotient will be Whole Number Part of Mixed Fraction.

    so, Quotient = Whole number Part = 3 (calculated above)

    Step 8: Remainder will be Numerator of Mixed Fraction.

    so, Remainder = Numerator = 3 (calculated above)

    Step 9: Denominator remains same, as calculated in step 5.

    So, denominator = 5 and we get:

    Mixed Fraction = 3 3
    5




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