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

Study More Solved Questions / Examples

Convert the following decimals into Mixed fraction

A) 3.75
B) 1.90
C) 18.18
D) 6.5
E) 1.625

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